Curriculum Vitae
                                              William Wendell Schultz
                         http://www-personal.engin.umich.edu/~schultz/
 
 
BIRTH
               September 26, 1952
               Detroit, Michigan
 
EDUCATION
               PhD (August 1982) Northwestern University
               Applied Mathematics and Engineering Sciences
 
               MSME (December 1977) Purdue University
               Mechanical Engineering
 
               BSME (August 1974) Purdue University
               Mechanical Engineering with Cooperative Industrial Experience
 
EMPLOYMENT 
               Director, Fluid Dynamics Program, National Science Foundation (9/2006-9/2008)
               Professor of Mechanical Engineering and Applied Mechanics (2000 –)
        Professor of Naval Architecture and Marine Engineering (2000 –)
               Undergraduate Admissions Faculty (2003 – 2005)
               Interdisciplinary Program Advisor (2001 – 2006)
               Associate Professor (1991 – 2000)
               Undergraduate Program Advisor (1995 – 1997)
               Assistant Professor (1/1985 – 8/1991)
               Department of Mechanical Engineering, University of Michigan
 
               Visiting Fellow, DAMTP, Cambridge Univ (9/1998 – 7/1999)
    
               Von Humboldt Fellow (August 1991 – August 1992)
               Institut für Schiffbau, Universitaet Hamburg, Germany
 
               Assistant Professor (July 1982 – December 1984)
               Department of Mech and Aero Engineering, Rutgers University
 
               ASEE/ONR Summer Faculty Fellow (May 1984 – August 1984)
               Marine Technology Div., Naval Research Lab, Washington, D.C.
 
               Research Assistant (September 1979 – August 1982)
               Dept. of Engineering Sciences and Applied Mathematics, Northwestern Univ.
 
               Research Engineer (June 1976 – December 1977)
               Advanced Research Engineer (January 1978 – August 1979)
               Owens/Corning Fiberglas Corp, Technical Center, Granville, Ohio
 
               Research Assistant (January 1975 – June 1976)
               Department of Mechanical Engineering, Purdue University
 
               Coop Engineer (September 1971 – June 1974)
               Engineer (September 1974 – December 1974)
               FMC Corporation, Environmental Equipment Div., Itasca, Illinois
 
AWARDS
               ASEE/ONR Summer Faculty Fellow 1983
               Research Achievement Award 1985
               ONR Young Investigator Award 1987
               Alexander von Humboldt Fellowship 1991
               UM Departmental Teaching Award 2000, 2002 
               daVinci Award (on behalf of  ProCEED), Engineering Society of Detroit
               ASME Fellow 2000
               Faculty Advisor of Year, ASME, COE U. Michigan 2004
               Ginsberg Center Award for Community Service 
                               & Social Action's Outstanding Faculty 2004
               University of Michigan Distinguished Faculty Governance Award 2004
 
CONSULTING
               Owens/Corning Fiberglas Corporation, Granville, Ohio,
                               “Fiber flow modeling,” June 1983 – August 1986.
   Kaiser Optical Systems, Ann Arbor, Michigan, “Curtain coating systems,”
                   August 1986 – January 1987.
               Northern Telecom, Ann Arbor, “Air flow in disk storage devices,” Aug 1988.
   Impact Protection Technologies, Ann Arbor, “Air flow in Football Helmet,”
                                  1990.
               ICOMP, NASA Lewis, Cleveland, Ohio, “Effective numerical flow 
                               through boundary conditions for aeroacoustics problems,” 1993.
               Ford Motor Company, Dearborn, Michigan, “Dynamic coefficients
                               in lubrication problems,” March 1994–1997.
               Analytical Dynamics, Ann Arbor, Michigan, “Time marching lubrication 
                               problems,” March 1995.
               Advanced Modular Power Systems, Ann Arbor, Michigan, “Rarefied gas 
                               flow from a beta-alumina emitter,” April–June 1996.
               BASF Corp, Wyandotte, Michigan, “Pressurized helical coils,” Apr–Aug 1998.
               SulfurTech Corporation, Toledo Ohio, “Aeration in water treatment device,” 
                               October 2001–2002
               Motion Technologies, Fallbrook CA, “Lubrication studies,” Aug – Sep 2003
      Detroit Edison, Monroe Michigan, "Reformer evaluation," Aug 2003 – 2004
               Rick Bernstein (on behalf of wheelchair-bound passengers), “City of Detroit 
                               Department of Transportation complaint,” Nov 2004 – 2005

LIST OF FUNDED RESEARCH PROJECTS
 
“An Algorithm for Periodic and Nonperiodic Steep and Breaking Waves,”
   Funded by Naval Research Laboratory No. N00014-85-K-2019, $25,000 for
   12 months starting August 1985.
 
“RESEARCH INITIATION:  Axisymmetric Analysis of Liquid Jets,” National Science
   Foundation No. MSM - 8504456, $66,793 for 30 months starting May 1985.
 
“The Effect of Grinding Fluid on Wheel Wear,” General Motors Corp. UM N-2GM,
   $88,722 for 12 months starting June 1985, (with E. Kannatey-Asibu, co-PI).
   $106,000 extension for 12 months starting June 1986.
 
“URI:  Program for Ship Hydrodynamics,” Funded by Office of Naval Research.
   One of three Lead-Principle Investigators (15 total principle investigators) 
   $4,867,000 for five years starting October 1986.
 
“Mechanics of Fish Interactions with Rigid Planar Boundaries,” (Paul
   Webb, project director) National Science Foundation DCB-8701923
   (Regulatory Biology) $395,600 for 36 months starting September 1987.
 
“Periodic and Aperiodic Steep and Breaking Waves,” Young Investigator
   Award, Office of Naval Research, Ocean Engineering Division,
   N00014-87-K-0509, $255,000 for 36 months starting July 1987.
 
“Periodic and Aperiodic Steep and Breaking Waves,” funded by Naval
   Research Laboratory N00014-87-K-2021, $22,000 for 24 months starting
   July 1987. $10,000 supplement starting July 1988.
   $25,000 supplement starting July 1989.
 
“Spectral Methods and Corner Singularities,” DMC-8716766, funded by NSF,
    Applied Mathematics and Computational Engineering, $98,000 for 24
    months (with J.P. Boyd, co-PI), Sept. 1988.
 
“ONR Matching Funds,” $44,000 for 12 months, beginning September 1988.
 
“Modeling the Fluid Mechanics of Paper Forming,” $39,810 for 12 months
    beginning June 1989, Kimberly-Clark Corp, $22,800 extension June 1990,
    $16,000 extension June 1991, $49,000 extension for 12 months, Jan 1992.
 
“Mechanics of Fish Interactions with Habitat Protuberances,” (Paul Webb,
    co-project director) National Science Foundation DCB9017817 (Physiological
    Processes) $190,000 for 36 months starting January 1991.
 
“Spectral and Spectral Element Methods,” National Science Foundation, 
   Computational Engineering ECS-90012263, $60,000 for 24 months, Sept. 1991
    (with JP Boyd, co-investigator).
 
“Short Wave and Surfactant Interactions,” (with Perlin M& D. Dowling) Office
    of Naval Research N00014-93-1-0867, $198,000, Two years starting July 93.
 
“AASERT: Surfactant Interactions,” Office of Naval Research N00014-94-I-0850,
    (D. Dowling, P.I.) $137,255 for two years starting June 1994.
 
“The Mechanics and Modeling of Wet Paper Forming” (Noel C. Perkins, PD)
    $43,328 TAPPI Foundation, 18 months starting June 1994.
 
“Thermo-Fluid Teaching Module--Hydraulics and Internal Flows,” Greenfield 
   Coalition.  (M Schumack, PD, Univ. Detroit Mercy), National Science Foundation. 
   $17,000 for 12 months starting May 1995.
 
“URI:  Ocean Surfaces Processes,” Office of Naval Research N00014-92-J-1650, 
     (J Vesecky and G. Meadows, co-PD, subacct. approx. $70,000/year). Five years 
     starting November 1991.
 
Nonisothermal analytical and experimental study of viscoelastic fiber drawing,” 
     (E Arruda, PD), National Science Foundation (Material Processing) 
     CMS-9414-891-194-2584 $223,571 for 36 months starting September 1994.
 
“Lubrication Flow in Elastomeric Lip Seals,” (K. Ludema, PD), Ford Motor Co.
    Continuing funding of subacct approximately $110,000/year, Jan 95-Dec 98.
 
“Modeling and Evaluation of Paper Forming Process Employing Crescent Former
    Machines,” Beloit Corp. (Noel Perkins, Co-PI) $10,000 for 4 months starting 
    May 96. $25,044 extension starting May 97.
 
“On the boundary conditions at an oscillating contact line: A Physical/Numerical
    Experimental Program,” (M Perlin, PD), NASA (NRA-94-OLMSA-05), 
   $396,700 for 52 months starting March 1996.
 
“Strengthening civic engagement of students in mechanical engineering,” Kellogg  Faculty
    Committee on Civic Engagement, (D Brei, Co-PI) $12,000, June 1998-June 1999.

 

“Workshop on improving undergraduate fluid mechanics education,"
     NSF Division of Undergraduate Education $104,517, 9/1/00 – 8/30/01.
 
 “Computations of flow of the molten pool during gas metal arc welding,” General
     Motors Corp., starting May 1998, (E. Kannatey-Asibu, PI), continuing center
      grant of approximately $1M/year, WWS support 5% calendar year and 0.5 GSRA.
 
“Development of a predictive model and warning system of imminent dam failures for
     Michigan, Provost Fund for Road Scholars,” (A. Cotel, PI) $14,780, 1/00 – 5/04.
 
“Using Nonlinearity and Contact Lines – Control Fluid Flow in Microgravity,” (M.
    Perlin, PI), NASA Microgravity Physics, $298,500 for 48 mos. starting Apr 2000.
 
“GOALI: Gas-solid multiphase flow dynamics using electrical impedance 
     tomography,” (S. Ceccio, PI) NSF $300,000 for 48 Months starting August 2000.
 
“Rheological characterization of inks,” (M. Solomon, PI), Flint Ink, Gift $50,000, 
     September 2003.
 
“Modeling and visualization of clutch performance,” (Steve Ceccio, co-PI) $106,932 
      + $93,680, Dynax Corporation, August 2003 – July 2005.
 
 “NASA BioScience and Engineering Institute,” (J. Grotberg, PI) $6.4M for 5 years 
     starting Sep 2003.
 
“Low Energy Vapor Distillation Method” (W. Schultz, PI), Levine Group, $100,000, 
     1/06-12/06.
  
 
CURRENT SUPPORT
 
“Physics-based simulations of washing machine processes,” (D. Dowling, PI), 
     Whirlpool Corporation, $548,874, 3/1/03 – 2/29/08.
 
 
“Air Layer Drag Reduction”, (S. Ceccio, PI), Office of Naval Research, 
     $1,005,177, 12/05-12/06.
 
“Topic Number N06-P024”, (M. Perlin, PI) $21,000, Michigan Molecular Inst., 
     May 2006-April 2007.
 
 
PROFESSIONAL ACTIVITIES
 
Member
               American Physical Society
               American Society of Mechanical Engineers, Faculty Advisor
               American Society of Engineering Education
               Society of Industrial and Applied Mathematics
               Society of Rheology
               von Humbolt Association of America

Reviewer 
               J. Fluid Mechanics                                 AIChE Journal
               ASHRAE Trans.                                   Physics of Fluids
               National Science Foundation                  J. Comput. Physics
               J. Non-Newtonian Fluid Mechanics       J. Rheology
               Int. J. Num. Meth. Eng.                         J. Heat Transfer
               Int. J. Heat & Mass Transfer                  J. Exp. Biology
               SIAM J. Appl. Math                             J. Theo. Biology
               J. Fluids Engineering                              J. Engineering Mech.
               Num. Meth. for P.D.E.                          J. Applied Mech.
               Int. J. Num. Meth. Fluids                       Comput. & Chem. Engin.
               American Zoologist                                J. Manufacturing Engin.
               Science                                                 Nature
               J. Gel-Sol Sci. & Tech.                          J.  Ship Research
 
Committees and Service
               ASME Applied Mechanics Division, Fluids Committee, 1986 – 
               Executive Board member, Program of Ship Hydrodynamics, 1986 – 1991
               Five Year Review Committee of MEAM, U. Mich, 1987.
               Engineering/Science/Mathematics Committee, U. Mich, 1985 – 1987
               Office of Technology Transfer Review Committee, U. Mich, 1996.
               Inter. Scientific Committee, ICDF, Cairo Egypt, 1994, 1996.
               ASME U. Mich. Faculty Advisor, 1994 – 2004
               IAESTE Faculty Advisor, 1999 – 
               MEAM Undergraduate Program Chair, 1995 – 1997
               MEAM Advisory Committee, 1996 – 98, 2000 – 2004
               Founder, Science Club for students at risk in Ann Arbor Public Schools, 1997– 
               College of Engineering MLK Chair, 1997 – 1998
               Center for Adv. Polymer Engin. Res., Director 1996 – 1997, Exec board 1997–
               College of Engineering Curriculum Committee, 1998
               College of Engineering Rules Committee, Member 1999, Chair 2000 – 2002
               CRLT (Center Research on Learning & Teaching) Faculty Advisory 
                     Committee, 2000 – 2002
               Academic Affairs Advisory Committee, 2000 – 2004, Chair 2001 – 2004           
   Co-Founder, ProCEED (Program for Civic Engagement in Engineering
         Design) 1998 – 
               Engineering Space Allocation Policy for Student Organizations, 2001– 
               Tony Maxworthy Symposium, SES, Co-chair, 2003
               APS, Division of Fluid Dynamics Nominating committee, 2003 – 2005
               University Faculty Senate, 2004 – 2007
               Center for Institutional Diversity Steering Committee, 2004 –
               Ginsberg Center Long-Range Planning Committee, 2005
               University Residency Appeal Committee, 2005 – 2008
               ME Faculty Honors and Awards Committee, 2006 –

PUBLICATIONS
 
Joyce M., Schultz WW and Strom A, “Replacement of secondary clarifiers by dynamic 
straining,” U.S. EPA Technical Report EPA-679/2-75-045, 1976.
 
Schultz WW and Goldschmidt VW, “Energy savings through shutdown of water 
heaters,” ASHRAE Trans. 83, 1977.
 
Schultz WW and Goldschmidt VW, “Effect of distribution lines on
standby loss of service water heaters,” ASHRAE Trans. 84, 1978.
 
Schultz WW and Goldschmidt VW, “Energy performance of a residential
electric water heater,” ASHRAE Trans. 87, 1981.
 
Schultz WW and Davis SH, “One-dimensional liquid fibers,” J. Rheology 
26:331-345, 1982.
 
Schultz WW and Goldschmidt VW, “Distribution efficiency and character of start-up 
and shut-down of flow in hot water distribution lines,” ASHRAE Trans. 88, 1983.
 
Schultz WW and Davis SH, “Effects of boundary conditions on the stability of slender 
viscous fibers,” J. Appl. Mech. 106:1-5, 1984.
 
Schultz WW, Zebib A, Davis SH and Lee Y, “Nonlinear stability of Newtonian fibers,”
J. Fluid Mech. 149:455-475, 1984.
 
Schultz WW, “Slender viscoelastic fiber flow,” J. Rheology 31:733-750, 1987.
 
Schultz WW and Hong SW, “Solution of potential problems using an over-
determined complex boundary integral method,” J. Comput. Phys. 84:414-440, 1989.
 
Lee NY, Schultz WW and Boyd JP, “Stability of fluid in a rectangular enclosure 
by spectral method,” Int. J. Heat Mass Trans. 33:513-520, 1989.
 
Georgiou G, Olson LG, Schultz WW and Sagan S, “A singular finite element for 
Stokes flow: The stick-slip problem,” Int. J. Num. Meth. Fluids 9:1353-1367, 1989.
 
Schultz WW, Lee NY and Boyd JP, “Chebyshev pseudospectral method of
viscous flows with corner singularities,” J. Scientific Computing 4:1-24, 1989.
 
Georgiou G, Schultz WW and Olson L, “Singular finite elements for the sudden 
expansion and die-swell problems,” Int. J. Num. Meth. Fluids 10:357-372, 1990.
 
Joo SW, Schultz WW and Messiter AF, “An analysis of the initial wavemaker 
problem,” J. Fluid Mech. 214:161-183, 1990.
 
Schultz WW and Gervasio C, “A study of the singularity in the die swell
problem,” Q. J. Mech. Applied Math. 43:407-425, 1990.
 
Joo SW, Messiter AF and Schultz WW, “Evolution of weakly nonlinear water waves
in the presence of viscosity and surfactant,” J. Fluid Mech. 229:135-158, 1991.
 
Olson LG, Georgiou G and Schultz WW, “An efficient finite element method
for treating singularities in Laplace's equation,” J. Comput. Phys. 96:391-410, 1991.
 
Schumack M, Schultz WW, Chung J-B and Kannatey-Asibu E, “Analysis of
fluid flow under a grinding wheel,” J. Engin. for Industry 113:190-197, 1991.
 
Schumack M, Schultz WW and Boyd JP, “Spectral method solution of the

Stokes equations on nonstaggered grids,”  J. Comput. Phys. 94:30-58, 1991.

 

Cao, Y., W.W. Schultz and R. Beck, "Three dimensional desingularized boundary integral

method for potential problems," Int. J. Num. Meth. Fluids 12:785-803, 1991.

 

Webb, P.W., D. Sims, and W.W. Schultz, "The effects of an air/water surface on

the fast start performance of rainbow trout (Oncorhynchus mykiss),"

J. Experimental Biology 155:219-226, 1991.

 

Bertram, V., W.W. Schultz, Y. Cao and R. Beck, "Nonlinear computations of wave

resistance for a submerged spheroid," Ship Technology Research 38:3-5, 1991.

 

Georgiou, G., L.G. Olson, and W.W. Schultz, "The integrated singular basis function method for

the stick-slip and the die-swell problems," Int. J. Num. Meth. Fluids. 13:1251-1265, 1991.

 

Schumack, M., W.W. Schultz, and J.P. Boyd, "Taylor vortices between

elliptical cylinders," Physics Of Fluids A4:2578-2581, 1992.

 

Li, L., W.W. Schultz, and H. Merte, Jr., "The velocity potential and lift force for two spheres

moving perpendicular to the line joining their centers," J. Eng. Math. 27:147-160, 1993.

 

Gou, S., A.F. Messiter, W.W. Schultz, "Capillary-gravity waves in a surface

tension gradient. I. Discontinuous change," Phys. Fluids A5:966-972, 1993.

 

Cao, Y., R.F. Beck and W.W. Schultz, "Numerical computations of

two-dimensional solitary waves generated by moving disturbances,"

Int. J. Num. Meth. Fluids 17:905-920, 1993.

 

Schultz, W.W., "Book Review--Fundamentals of Two-Fluid Dynamics

by Joseph and Renardy," Appl. Mech. Reviews 46:B90-B91, 1993.

 

Schultz, W.W., Huh, J. and O.M. Griffin, "Potential energy in

steep and breaking waves," J. Fluid Mech. 278:201-228, 1994.

 

Schultz, W.W., "Book Review--Adaptive Finite and Boundary Element

Methods by Brebbia and Aliabadi," Appl. Mech. Reviews 47:B51, 1993.

 

Turnbull, P., N.C. Perkins and W.W. Schultz, "Contact-induced nonlinearity

in oscillating belts and webs," J. Vibration & Control 1:459-479, 1995.

 

Peltzer, R.D., O.M. Griffin, H.T. Wang and W.W. Schultz, "Kinematic and

dynamic evolution of deep water breaking wave packets," J. Geophys. Res.

(Oceans) 101:16515-16531, 1996.

 

Schultz, W.W. and Jiang, L., "Book Review--Water waves: Relating

modern theory to advanced engineering applications by Matuir Rahman,"

Appl. Mech. Reviews 49:B44, 1996.

 

Jiang, L., C. Ting, M. Perlin and W.W. Schultz, "Moderate and steep Faraday

waves::  Instabilities, modulation and temporal asymmetries," J. Fluid Mech.

329:275-307, 1996.

 

Gupta, G., W.W. Schultz, E.M. Arruda and X. Liu, "Nonisothermal model

Of glass fiber drawing stability," Rheol. Acta 35:584-596, 1996.

 

Turnbull, P., W.W. Schultz, N.C. Perkins and P. Beuther, "One-dimensional

dynamic model of a paper forming process," Tappi J. 80:245-253, 1997.

 

Gupta, G. and W.W. Schultz, "Nonisothermal study of Newtonian slender

glass fibers," J. Nonlinear Mech 33:151-163, 1997.

 

Gou, S., W.W. Schultz, and G. Tryggvason, "Vortical motion interacting with a

deforming, contaminated free surface," Chapt. 7: Viscous-Free Surface Interaction, 

P. Tyvand ed., Computational Mechanics Publications V.16, p179-202, 1998.

 

Schultz, W.W., J.-M. Vanden-Broeck, L. Jiang and M. Perlin, "Highly nonlinear

standing waves with small capillary effect," J. Fluid Mech. 369: 253-272, 1998.

 

Jiang, L., M. Perlin and W.W. Schultz, "Period tripling and energy

dissipation of breaking standing waves," J. Fluid Mech. 369: 273-299, 1998.

 

Lapham, G.S., D.R. Dowling, and W.W. Schultz, "In-situ force balance

tensiometry", Experiments in Fluids 27:157-166, 1999.

 

Jiang, L., H.-J. Lin, W.W. Schultz, and M. Perlin, "Unsteady ripple generation

on steep gravity-capillary waves," J. Fluid Mech. 386:281-304, 1999.

 

Yih, C.-S. and W.W. Schultz, "Linear and nonlinear waves in flowing water",

in Fluid Dynamics at Interfaces (honoring C-S. Yih), Wei Shyy,

editor, Cambridge University Press, 1999.

 
Lu X, Arruda EM and Schultz WW, “The effect of processing parameters on glass fiber 
birefringence development and relaxation,” J. Non-Newtonian Fluid Mech. 86:89-104, 1999.
 
Perlin M and Schultz WW, Capillary effects on surface waves,” Ann. Review Fluid
Mech. 32:241-274, 2000.
 
Lapham GS, Dowling DR and Schultz WW, “Linear and nonlinear gravity-capillary

waves with a soluble surfactant,” Experiments in Fluids 30:448-457, 2001.

 

Merte Jr H, J Park, Schultz WW and Keller RB, “Criteria for approximating certain

microgravity flow boiling characteristics in Earth gravity,” Annals New York Acad.

Sci. 974:481-503, 2002.

 

Schultz WW and Webb PW, “Power requirements of swimming: Do new methods

resolve old questions?Integrative and Comparative Biology 42:1018-1025, 2002.

 

Song DJ, Seo DK and Schultz WW, “A comparison study between Navier-Stokes
equation and Reynolds equation in lubricating flow regime,” KSME Int J. 17:599-605, 2003.

 

Wang F, Hou WK, Hu SJ, Kannatey-Asibu E, Schultz WW and Wang PC,

Modelling and analysis of metal transfer in gas metal arc welding,” J. Physics

D–Appl. Phys. 36:1143-1152, 2003.

 

Huang CK, Lee JH, Schultz WW and Ceccio SL, “Singularity image method for

electrical impedance tomography of bubbly flows,” Inverse Problems 19:919–93, 2003.

 

Bian X, Perlin M, Schultz WW, Agarwal M, “Axisymmetric slosh frequencies of a

liquid mass in a circular cylinder,” Phys. Fluids. 15:3659–3664, 2003.

 

Yoo J-S, Schultz WW, “Thermal convection in a horizontal porous layer with spatially

periodic boundary temperatures: Small Ra flow,” Int. J. Heat Mass Transfer

46:4747–4750, 2003.

 

Lee J and Schultz WW, “Eigenvalue analysis of Timoshenko beams and axisymmetric

Mindlin plates by the pseudospectral method,” J. Sound Vibration 269:609–621, 2004.

 

Perlin M, Schultz WW and Liu Z, “High Reynolds number oscillating contact lines,”

Wave Motion 40:41–56, 2004.

 

Jiang L, Perlin M and Schultz WW, “Contact line dynamics and damping for oscillating

free surface flows,” Phys. Fluids 16:748–758, 2004.

 

Xu G, Schultz WW, Kannatey-Asibu, Jr E, “Application of a front tracking method in

gas metal arc welding (GMAW) simulation,” J. Manufacturing Sci. and Engin.
127:590-597, 2005.

 

Aphale CR, Cho J, Schultz WW, Ceccio SL, “Modeling and parametric study of

torque in open clutch plates,” J. Tribology 128:422-430, 2006.

 

Wang F, Schultz WW, Xu G, Hu SJ, Kannatey-Asibu, Jr. E, Hou W,Development
of free surface tracking algorithms for fusion welding simulations,
submitted to
Int. J. Num. Meth. Eng.

 

Bian X, Schultz WW, Perlin M, “Liquid slug motion and contact lines in an oscillatory

capillary tube,” submitted to J. Fluid Mech.

 

Schultz WW, Worster MG, and Anderson DM, “Solidifying sessile water droplets,”

under final preparation.

 

Hoge F, Schultz WW, Boedo S and Vanden Broek C, “Flow in the grooves of journal 
bearings,” under revision for  J. Tribology.
 
Hoge F and Schultz WW, “Numerical solution of the dynamic coefficients of oil-
lubricated journal bearings with arbitrary groove angle,” under revision for J. Tribology.
 
Chen E-J, Schultz WW and Perkins NC, “A two-dimensional viscous model of a 
wet paper forming process,” under revision for TAPPI J.
 
Han H-C, Schultz WW, Boyd JP and Schumack MR, “The dynamic stability of journal 
bearings,” in preparation.

 

 
PRESENTATIONS (since 1995)
 
G Gupta, WW Schultz, X Lu, & E Arruda, “Nonisothermal study of viscoelastic
slender fiber drawing,” Soc. Rheology Annual Meeting, Sacramento, October 1995.
 
H-C Han, WW Schultz, JP Boyd, MR Schumack, “Journal bearing dynamic 
stability,” 48th Annual Meeting of the American Physical Society, Division of 
Fluid Dynamics, Irvine, November 1995.
 
G Gupta, W Schultz, X Lu, and E Arruda, “Nonisothermal analytical and 
experimental study of viscoelastic fiber drawing,” NSF Design & Mfg Grantees 
Conf, Albuquerque, January 1996.
 
WW Schultz, L Jiang, M Perlin, “Steep Faraday waves,” 11th International
Workshop on Water Waves and Floating Bodies, Hamburg, Germany, April 1996.
 
L Jiang, M Perlin, WW Schultz, “Steep and Breaking Faraday Waves,” 21st ONR
Symposium on Naval Hydrodynamics, Trondheim, Norway, June 1996 (with publication).
 
G Gupta, WW Schultz, X Lu, and E Arruda, “Nonisothermal study of viscoelastic
slender fiber drawing stability,” (with publication) XIIth Congress of the Society
of Rheology, Quebec, August 1996.
 
E-J Chen, WW Schultz, and N Perkins, “Viscous mechanics of paper forming process,” 
49th Annual Meeting of the American Physical Society, Division of Fluid Dynamics, 
Syracuse, NY, November 1996.
 
GS Lapham, DR Dowling, WW Schultz, “General purpose in-situ surface tension 
measurement,” 49th Annual Meeting of the American Physical Society, Division of Fluid 
Dynamics, Syracuse, NY, November 1996.
 
L Jiang, WW Schultz, M Perlin, “Parasitic capillary waves and Wilton's ripples under 
Faraday resonance,” 49th Annual Meeting of the American Physical Society, Division 
of Fluid Dynamics, Syracuse, NY, November 1996.
 
L Jiang, WW Schultz, M Perlin, “Capillary ripples on standing waves,”
12th Int Workshop on Water Waves and Floating Bodies, Marseilles, March 1997.
 
M Schumack, S Das, M Vaksman, K Belfield, E Semakula, R Pryor, WW Schultz, 
Thermophysics for manufacturing engineers: A nontraditional approach,” Emerging 
Issues in Manufacturing Education, ASEE Annual Conf, Milwaukee, WI, June 1997.
 
GS Lapham, DR Dowling, WW Schultz, “Surfactant damping of water waves,” 50th 
Annual Meeting of the American Physical Society, Division of Fluid Dynamics, 
San Francisco, November 1997.
 
L Jiang, Z Liu, M Perlin, WW Schultz, “Contact-line dynamics for water waves and 
high-Re flows,” 50th Annual Meeting of the American Physical Society, Division of 
Fluid Dynamics, San Francisco, November 1997.
 
D-J Song, WW Schultz, “A computational validity study of Reynolds equation in 
lubricating flow regime,” 50th Annual Meeting of the American Physical Society, 
Division of Fluid Dynamics, San Francisco, November 1997.
 
WW Schultz, H-C Han, JP Boyd, M Schumack, “Analysis of the oil-whirl instability,” 
50th Annual Meeting of the American Physical Society, Division of Fluid Dynamics, 
San Francisco, November 1997.
 
AK Subramani, RF Beck and WW Schultz, “Suppression of wave-breaking in nonlinear 
water wave computations,” 13th International Workshop on Water Waves and Floating 
Bodies, Delft, March 1998.
 
X Lu, EM Arruda and WW Schultz, “The effect of processing parameters on glass 
fiber birefringence development and relaxation,” Conf. on Relaxation Phenomena, 
Banff, Canada, May 1998.
 
E-J Chen, WW Schultz, and NC Perkins, “A two-dimensional viscous model of a wet 
paper forming process,” TAPPI Engineering Congress, Chicago, September 1998.
 
G Lapham, DR Dowling, and WW Schultz, “Nonlinear water waves with soluble 
surfactant,” 51st Annual Meeting of the American Physical Society, Division of Fluid 
Dynamics, Philadelphia, November 1998.
 
WW Schultz, C Huang, and SL Ceccio, “An analysis of two-dimensional electrical 
impedance tomography,” 51st Annual Meeting of the American Physical Society, 
Division of Fluid Dynamics, Philadelphia, November 1998.
 
S Zhu, WW Schultz, and AK Subramani, “An effective numerical beach
for nonlinear water wave computations,” Austral-Asia Conf, December 1998. 
 
ET Smith, WW Schultz, JR Barber and E Kannatey-Asibu
“Oscillations in a weld pool,” ASME Summer Meeting, 1999.
 
Z Liu, WW Schultz and M Perlin, “High Reynolds number oscillating contact lines,” 
52nd Annual Meeting of the American Physical Society, Division of Fluid Dynamics, 
New Orleans, November 1999.
 
WW Schultz, Z Liu, and M Perlin, “Film flow inside an oscillatory rotating cylinder,” 
52nd Annual Meeting of the American Physical Society, Division of Fluid Dynamics, 
New Orleans, November 1999.
 
M Perlin and WW Schultz, “Non-intrusive surface-tension measurement,” 52nd Annual 
Meeting of the American Physical Society, Division of Fluid Dynamics, New Orleans, 
November 1999.
 
WW Schultz, S Ceccio, P Tortora, and R Cocco, “Examination of gas-solid 
multiphase flow dynamics using electrical impedance tomography,” DOE 
Multiphase Fluid Dynamics Research Consortium, Mendenhall, PA, Sept 1999.
 
N Stott, WW Schultz, DE Brei, and DMW Hoffman, “ProCEED: A program for civic 
engagement in engineering design,” 2000 ASEE Annual Conference and Exposition, 
St. Louis, June 2000. [Conference Best Paper Award]
 
WW Schultz, MG Worster & D Anderson, “Solidifying sessile water droplets,” 
EUROMECH Colloquium 408, Interactive Dynamics of Convection and Solidification, 
Chamonix, France, March 2000.
 
G Georgiou, J Tsamopoulos, and WW Schultz, “Steady flow of a two-dimensional 
film under pressure,” ECCOMAS 2000, Barcelona, 11-14 September, 2000 and  
XIIIth International Congress on Rheology, Cambridge (UK), August 2000G
 
WW Schultz, M Perlin, and Z Liu, “Axially rotating horizontal circular cylinder flows of 
thin films,” 53rd Annual Meeting of the American Physical Society, Division of Fluid 
Dynamics, Washington DC, November 2000.
 

M Farina, JL Stahmer, WW Schultz, DE Brei, “Challenges in establishing a program

for civic engagement in engineering design,” Engineering Education Division for

the 2001 ASEE Annual Conference, Albuquerque, NM.

 

M Perlin, WW Schultz, MK Smith, and JF Foss, “Improving undergraduate fluid

mechanics across the curriculum,” 2001 ASEE Annual Conference, Albuquerque, NM.

 

J Lee, WW Schultz, SL Ceccio, “Electrical impedance tomography by pseudospectral

method,” 54th Meeting of the American Physical Society, Division of Fluid Mechanics,

San Diego, November 2001.

 

M Agarwal, WW Schultz, M Perlin, X Bian, “The motion of water slugs in horizontally

oscillated glass tubes,” 54th Meeting of the American Physical Society, Division of Fluid

Mechanics, San Diego, November 2001.

 

R Zondervan, A Constantine, DE Brei, WW Schultz, “Outcomes survey study of

ProCEED projects in mechanical engineering capstone design course,” ASEE Annual

Conf and Exposition, Montreal, June 2002.

 

G Xu, E Kannatey-Asibu, Jr., WW Schultz, PC Wang, “Simulation of gas metal arc

welding short circuiting transfer using a front tracking method,” Proc. of IMECE,

Int. Mechanical Engineers Congress and Exposition, New Orleans, November 2002.

 

X Bian, M Perlin, WW Schultz, “Steady Slug Flow in a Circular Tube,” 55th Meeting of

the American Physical Society, Division of Fluid Mechanics, Dallas, November 2002.

 

PR Tortora, SL Ceccio, WW Schultz, TJ O’Hern, JR Torczynski, SM Trujillo, “An

electrical-impedance tomography system for collecting validation-quality data from gas-
solid flows,” 3rd World Congress on Industrial Process Tomography, September 2003.

 

K Lay, W Schultz, M Perlin, “An experimental and numerical investigation of thin film

flow in an axially rotating horizontal cylinder,” 56th Meeting of the American Physical

Society, Division of Fluid Mechanics, Meadowlands, November 2003.

 

P Tortora, S Ceccio, W Schultz, J Torczynski, T O'Hern, S Trujillo, “The effective

permittivity of dielectric-particle distributions,” 56th Meeting of the American Physical

Society, Division of Fluid Mechanics, Meadowlands, November 2003.

 

X Bian, WW Schultz, M Perlin, “Forced motion of liquid slugs,” 56th Meeting of the

American Physical Society, Division of Fluid Mechanics, Meadowlands, Nov 2003.

 

WW Schultz, D Seo, M Terpenning, “Saliva and swallowing studies,” KAIST/

University of Michigan Joint Meeting, Daejeon, Korea, May 2004.

 

WW Schultz, C Aphale, J Cho, SL Ceccio, “Clutch studies at the University of

Michigan,” Dynax Corporation, Chitose, Japan, May 2004.

 

DT Akcabay, DR Dowling, WW Schultz, Two-dimensional simulations of the
dynamics of densely-packed fluid loaded cloth
,
” 57th Meeting of the American
Physical Society, Division of Fluid Mechanics, Seattle, November 2004.

 

KA Lay, WW Schultz, M Perlin, “An experimental and numerical investigation of
thin film flow in an axially rotating horizontal cylinder: Part II,
57th Meeting of the
American Physical Society, Division of Fluid Mechanics, Seattle, November 2004.

 
CR Aphale, J Cho, WW Schultz, SL Ceccio, T Yoshioka, H Hiraki, “Modeling and 
parametric study of torque in open clutch plates,” ASME/STLE International Joint 
Tribology Conference, Long Beach, California, October 2004.
 
SJ Kim, EF Hasselbrink, Jr., WW Schultz, “Recent advances in electrokinetic 
pumping for microfluidic systems,” KAIST/University of Michigan Joint Meeting, 
San Francisco, July 2005.

 
DT Akcabay, WW Schultz, DR Dowling, “Simulations of densely-packed cloth motion
 in water
,” 58th Meeting of the American Physical Society, Division of Fluid Mechanics,

Chicago, November 2005.

CR Aphale, WW Schultz, SL Ceccio, “Surface modification of clutch plates to reduce
disengaged drag torque,
” 58th Meeting of the American Physical Society, Division of
Fluid Mechanics, Chicago, November 2005.

 
INVITED LECTURES (since 1995)
  
“Steep Standing Waves,” Seoul National Univ. and POSTECH Univ., May 1996.
 
“Viscoelastic Fiber Spinning,” KAIST, Korea and Nam Young Univ., May 1996.
 
Nonisothermal Study of Viscoelastic Drawing Resonance,” (with publication) 
Symposium on Rheology and Computational Fluid Mechanics in memory of 
Tasos Papanastasiou, Nicosia, Cyprus, July 1996.
 
“Fluid-Structure Interaction Problems,” SE Michigan ASME Awards Banquet, 
Troy Michigan, June 1997.
 
“Oil-Whirl Instability,” Theoretical and Applied Mechanics Dept, Univ. Illinois,
October 1997.
 
“Dynamic Modeling Wet Paper Formation,” (with E-June Chen and NC Perkins) 
Special Session on Mathematics in Industry, AMS Fall mtg, Milwaukee, October 1997.
 
“Linear and Nonlinear Waves in Flowing Water,” (with C.-S. Yih) US National Congress
in Applied Mechanics, Symposium honoring C.-S. Yih, Gainesville, Florida, June 1998.
 
“Fish Swimming Stability,” DAMTP Fluid Mech. Colloquium, Cambridge U, Jan 1999.
 
“Oil Whirl Instability,” DAMTP Continuum Mech. Colloquium, Cambridge U, Feb 1999.
 
“Electrical Impedance Tomography,” Mathematics Department, Univ. E. Anglia,
March 1999 and Mathematics Department, Loughborough U, March 1999.
 
“A Two-dimensional Viscous Model of Crescent Forming,” (with E-J. Chen and 
N.C. Perkins) Kimberly-Clark Corp., Neenah, Wisconsin, September 1999. 
 
“An Experimental and Numerical Investigation of Nonisothermal Viscoelastic Glass 
Fiber Drawing and Annealing,” (with E Arruda and X.-Y. Lu) Transport Phenomena 
in Material Processing and Manufacturing, IMECE WAM, Nashville, November 1999. 
 
“Wave Motion near Contact Lines,” (with Perlin M and Z. Liu) IUTAM 
Symposium on Free Surface Flows, University of Birmingham, July 2000.
 
“Viscoelastic Fiber Spinning,” Fluid Mechanics Group, Stanford University, April 2000.

 

“Power Requirements of Swimming: Do New Methods Resolve Old Questions?” (with

P. Webb) Society for Integrative and Comparative Biology, Anaheim, CA, Jan 2002.

 

“Contact Line Flow in a Rotating Horizontal Tube,” (with Z. Liu and M. Perlin), “14th

U.S. National Congress on Theoretical and Applied Mechanics, Blacksburg, June 2002.

 

“Modeling Fish Swimming,” Northwestern U., ESAM 25th Anniv., September 2002.

 

“Fish Swimming,” Notre Dame, November 2002.

 

“Fish Swimming Stability,” (with P Webb), Symposium on Fluids, Energy, and

Acoustics, Mexico City, Mexico, June 2004.

 

“My Vision in Fluid Mechanics,” National Science Foundation/CTS, DC, February 2006.

 

“Oscillatory Contact Lines,” WSEAS 07 Fluids Conf., Gold Coast, Australia, January 2007.

 

“Oscillatory Contact Lines,” Levich Institute, CUNY, New York, February 2007.

 

 
PATENTS
 
“Rotary fiber forming spinner,” No. 4270943, June 2, 1981.
 
“Apparatus for forming mineral fibers,” No. 4300932, November 17, 1981.
 
“Method and apparatus for forming mineral fibers,” No. 43002234, November 24, 1981.
 
 
COURSES TAUGHT
 
Undergraduate
                               Thermodynamics I, II
                               Fluid Mechanics
                               Environmental Control of Buildings
                               Dynamics
                               Introduction to Manufacturing
                               Senior Laboratory
                               Engineering for Community
 
Graduate 
                               Fluid Mechanics I, II
                               Hydrodynamic Stability
                               Singular Perturbation Methods in Fluid Mechanics
                               Wave Motion in Fluids
                               Engineering for Community
 
GRADUATE STUDENT CHAIR
 
C Gervasio, “Improved eigenfunction expansion method for the die swell problem in an 
axisymmetric jet,” MS, Rutgers Univ, 1986. (Currently: VP Republic National Bank)
 
NY Lee, PhD, “Chebyshev spectral solution of viscous flow with corner singularities,” 
1987. (Currently: Div Manager, Korea Inst of  Energy and Resources, Taejon, Korea)
 
SW Joo, PhD, “A study of waves with capillary effects,” 1989 (Co-chair A Messiter). 
(Currently: Assoc Prof of ME, Yeungnam U)
 
GC Georgiou, PhD (Chem Eng), “Singular finite elements for Newtonian flow problems 
with stress singularities,” 1989 (Co-chair E Gulari, Currently: Prof. Math, U Cyprus)
 
MR Schumack, PhD, 1990, “A spectral domain decomposition method with 
applications to flows between cylinders, (Co-chair J Boyd, Currently: Assoc 
Prof. ME, U Detroit Mercy)
 
J Huh, PhD, “A numerical study of capillary-gravity waves,” 1991. 
(Currently: Sr. Research Eng, Korea Atomic Energy Institute Taejon, KOREA)
 
Y Cao, PhD (Naval Arch.) “Computations of nonlinear gravity waves by a 
desingularized boundary integral method,” 1991 (Co-chair R Beck, Currently: 
Principal Consultant, C-Z Marine Technology, Inc.)
 
J Lee, PhD, “Finite element models of laser welding,” 1992 (Co-chair K Ludema,
Currently: Assoc Prof and Chair, Mechanical Eng, Hong-ik University)
 
K Park, PhD, “An asymptotic analysis of gas lubrication of rough surfaces,” 1993 
(Co-chair K Ludema, Currently: Sankyo Corporation)
 
MY Hsi, PhD, “Boundary element method simulation of axisymmetric free surface
flow,” 1993 (Co-Chair WP Graebel, Currently: Ford Motor Co. Climate Control
Division)
 
S Gou, PhD, “Waves with surfactants,” 1994, (Co-chair A Messiter, 
Currently: Bellcore)
 
J Ivanenok, MS, “Modeling of the sodium vapor flow in remote condensing alkali 
metal thermal-electric,” 1994 (Currently: Rain BirdŽ Golf National Manager)
 
P Turnbull, PhD, “Analysis of a paper forming process,” 1995 (Co-chair: 
N Perkins, Currently: Technical Specialist, Visteon Corp.)
 
H-C Han, PhD, “Spectral boundary element methods for the stability of journal 
bearings,” 1995 (Co-Chair JP Boyd, Currently: Ford Motor Co)
 
J-J Lin, PhD, “The vortical structure of capillary-gravity waves:  An experimental 
investigation,” 1997 (Co-chair M Perlin).
 
L Jiang, PhD, “Nonlinear gravity-capillary water waves,” 1997 (Co-chair M Perlin) 
(Currently: Intel Corp).
 
E-J Chen, PhD, “Analysis of crescent former paper manufacturing,” 1998
(Co-chair N Perkins, Currently: Research Engineer, Boeing Corp)
 
G Lapham, PhD, “Wave-surfactant interaction,” 1998 (Co-Chair DR Dowling and 
M Perlin, Currently: Applied Thermal Sciences).
 
X-Y Liu, PhD, “Experimental and analytical investigation of nonisothermal visco-
elastic,” glass fiber drawing 1999 (Chair EM Arruda, Currently: Ford Motor Company).
 
Z Liu, PhD, “Oscillatory contact lines,” 2001 (Co-chair M Perlin) 
(Currently: CSO Aker Engineering, Inc.)
 
J Park, MS, “Pool boiling,” 2001 (Co-Chair H Merte, Currently: PhD student Northwestern U).
 
M Agarwal, “Oscillatory flow in tubes,” MS, 2002 (Co-chair M Perlin).
 

C  Huang, PhD, “Optimization of auxiliary power devices,” 2003, (Currently:
Product  Design Engineer, Ford Motor Co.)

 

G Xu, PhD, 2004, “Simulation of drop formation and metal transfer in gas metal

arc welding,” (Co-chair EK Asibu, Currently: Intel Corporation)

 

X Bian, PhD, 2004, “Liquid slug motion in an oscillatory capillary tube,”

(co-chair M Perlin, Currently: CSO Aker Engineering, Inc.)

 

K Lay, PhD, 2006, “An experimental and numerical investigation of rimming flow,
(Co-chair M Perlin,  Currently: Postdoctoral Associate, University of Michigan).

 

C Aphale, PhD 2006, “Drag reduction at low and high Reynolds
numbers,” (co-chair S Ceccio, currently).

 

D Akcabay, PhD, 2007, “Physics of clothes washing,” (co-chair D Dowling).

  

 
POSTDOCTORAL ASSOCIATES AND VISITORS
 
S-W Hong (Currently: Head, Marine Dynamics Lab, Korean Research 
   Institute of Ships & Ocean Engineering)
 
R Q-N Zhou (Currently: AECL Research, Chalk River Ontario)
 
G Gupta, 9/94 - 12/96
 
D-J Song, Yeungnam Univ, 3/96 - 3/97
 
N Bessonov, Russian Academy of Sciences, 5/97 - 6/98
 
C Huang, Inst Eng Thermophysics, Beijing, 1/98-2/99
 
Prof. S Zhu, University of Wollongong, Australia, 1/98-6/98
 
Prof. J-H Lee, Hongik University, Korea, 7/00-8/01

 

Prof. J-S Yoo, Andong National University, Korea, 1/02-1/03

 

Prof . X-L Chen, Shanghai Jiao Tong University, China, 1/05-5/05

 

Prof. W Ellermeier, Darmstadt Universitaet, 7/07-9/05

 

 
               revised: November 2006
tyle='font-size:12.0pt;font-family:Times'>Division)
 
S Gou, PhD, “Waves with surfactants,” 1994, (Co-chair A Messiter) 
(Currently: Bellcore)
 
J Ivanenok, MS, “Modeling of the sodium vapor flow in remote condensing alkali 
metal thermal-electric,” 1994 (Currently: Rain BirdŽ Golf National Manager)
 
P Turnbull, PhD, “Analysis of a paper forming process,” 1995 (Co-chair: 
N Perkins) (Currently: Technical Specialist, Visteon Corp.)
 
H-C Han, PhD, “Spectral boundary element methods for the stability of journal 
bearings,” 1995 (Co-Chair JP Boyd) (Currently: Ford Motor Co)
 
J-J Lin, PhD, “The vortical structure of capillary-gravity waves:  An experimental 
investigation,” 1997 (Co-chair M Perlin).
 
L Jiang, PhD, “Nonlinear gravity-capillary water waves,” 1997 (Co-chair M Perlin) 
(Currently: Intel Corp).
 
E-J Chen, PhD, “Analysis of crescent former paper manufacturing,” 1998
(Co-chair N Perkins) (Currently: Research Engineer, Boeing Corp)
 
G Lapham, PhD, “Wave-surfactant interaction,” 1998 (Co-Chair DR Dowling and 
M Perlin) (Currently: Applied Thermal Sciences).
 
X-Y Liu, PhD, “Experimental and analytical investigation of nonisothermal visco-
elastic,” glass fiber drawing 1999 (Chair EM Arruda) (Currently: Ford Motor Company).
 
Z Liu, PhD, “Oscillatory contact lines,” 2001 (Co-chair M Perlin) 
(Currently: CSO Aker Engineering, Inc.)
 
J Park, MS, “Pool boiling,” 2001 (Co-Chair H Merte) (Currently: PhD student Northwestern U).
 
M Agarwal, “Oscillatory flow in tubes,” MS, 2002 (Co-chair M Perlin).
 

C  Huang, PhD, “Optimization of auxiliary power devices,” 2003, (Currently:
Product  Design Engineer, Ford Motor Co.)

 

G Xu, PhD, 2004, “Simulation of drop formation and metal transfer in gas metal

arc welding,” (Co-chair EK Asibu) (Currently: Intel Corporation)

 

X Bian, PhD, 2004, “Liquid slug motion in an oscillatory capillary tube,”

(co-chair M Perlin) (Currently: CSO Aker Engineering, Inc.)

 

K Lay, PhD, 2006, “An experimental and numerical investigation of rimming flow,”
(Co-chair M Perlin) (Currently: Postdoctoral Associate, University of Michigan).

 

C Aphale, PhD expected 2006, “Drag reduction at low and high Reynolds
numbers,” (co-chair S Ceccio).

 

D Akcabay, PhD expected 2007, “Physics of clothes washing,” (co-chair D Dowling).

 

S Mäkiharju, PhD expected 2008, “Desalination Physics.”

 
 
POSTDOCTORAL ASSOCIATES AND VISITORS
 
S-W Hong (Currently: Head, Marine Dynamics Lab, Korean Research 
   Institute of Ships & Ocean Engineering)
 
R Q-N Zhou (Currently: AECL Research, Chalk River Ontario)
 
G Gupta, 9/94 - 12/96
 
D-J Song, Yeungnam Univ, 3/96 - 3/97
 
N Bessonov, Russian Academy of Sciences, 5/97 - 6/98
 
C Huang, Inst Eng Thermophysics, Beijing, 1/98-2/99
 
Prof. S Zhu, University of Wollongong, Australia, 1/98-6/98
 
Prof. J-H Lee, Hongik University, Korea, 7/00-8/01

 

Prof. J-S Yoo, Andong National University, Korea, 1/02-1/03

 

Prof . X-L Chen, Shanghai Jiao Tong University, China, 1/05-5/05

 

Prof. W Ellermeier, Darmstadt Universität, 7/07-9/05

 

 
               revised: June 2006