Brief Resume

Kuppalapalle Vajravelu

AREAS OF RESEARCH INTEREST:

Applied Mathematics, Applied Ordinary and Partial Differential Equations, Fluid Mechanics, Numerical Heat Transfer.

EDUCATION:

Indian Institute of Technology Ph.D. 1979 Mathematics (Applied) Kharagpur, India

EXPERIENCE:

Teaching and research experience: 19 years

AWARDS:

Teaching Incentive Program (TIP) of the State University system of Florida, December 1995.

"THE SCROLL" (for sustained research activity at the University of Central Florida), April 1988.

TEACHING:

COURSES TAUGHT:

GRADUATE LEVEL:

• Ordinary Differential Equations
• Transform Techniques
• Techniques of Complex Variables
• Special Functions
• Applied Mathematics I
• Applied Mathematics II

UNDERGRADUATE LEVEL:

• College Algebra
• Business Calculus
• Applied Calculus Sequence
• Calculus Sequence
• Linear and Matrix Algebra
• Linear Algebra for Computer Application
• Introduction to Digital Computations
• Vector and Tensor Analysis
• Differential Equations
• Advanced Calculus

HONORS:

• Calculus I
• Calculus II
• Calculus III

THESIS/REPORTS:

Directed and supervised nine Master thesis/reports. Three of them got best thesis awards.

Member of ten Master thesis/report committees.

Also member of seven Ph.D. Committees.

PROFESSIONAL PAPERS PRESENTED

More than 19 professional papers presented at national and international conferences (during 1981-97) organized by the American Mathematical Society (AMS), the Society for Industrial and Applied Mathematics (SIAM) and the World Congress on System Simulation and Scientific Computation.

RESEARCH

RESEARCH PUBLICATIONS IN REFEREED JOURNALS: (Short List)

• 1. "Correction to free convection effect on the oscillatory flow past an infinite, vertical, porous plate with constant suction-I" (with K. S. Sastri), Proceedings of the Royal Society of London A 353, (1977), 221-223.
• 3. "Fully developed flow and heat transfer of water at 4û C confined between two parallel vertical walls with linearly varying wall temperatures" (with K.S. Sastri), Proceedings of the Indian Academy of Sciences 85, (1977), 167-177.
• 4. "Free convective heat transfer in a viscous incompressible fluid confined between a long vertical wavy wall and a parallel flat wall" (with K. S. Sastri), Journal of Fluid Mechanics 86, (1978), 365-383.
• 9. "The effect of variable fluid properties on the free convective flow of air/water confined between two parallel vertical walls", Acta Mechanica 31, (1979), 199-211.
• 14. "The effects of variable properties and the internal heat generation on natural convection at a heated vertical plate in air", Numerical Heat Transfer 3, (1980), 345-356.
• 24. "Hydromagnetic convection at a heated semi-infinite vertical plate", International Journal of Engineering Science 25, (1987), 27-35.
• 31. "An exact periodic solution for a generalized hydromagnetic Couette flow", Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics 55, (1988), 981-983.
• 32. "Combined Free and Forced Convection in Hydromagnetic Flows in Vertical Wavy Channels with Traveling Thermal Waves", International Journal of Engineering Science 27, (1989), 289-300.
• 35. "On solution of some unsteady flows over a continuous, moving, porous flat plate", (with D. Rollins), Journal of Mathematical Analysis and Applications 153, (1990), 52-63.
• 37. "On solutions of some singular, nonlinear differential equations arising in boundary layer theory" (with E. Soewono and R. N. Mohapatra), Journal of Mathematical Analysis and Applications 155, (1991), 499-512.
• 52. "Convective heat transfer at a stretching sheet with suction or blowing", Journal of Mathematical Analysis and Applications 188, (1994), 1002-1011.
• 60. "Generalized quasilinearization method and rapid convergence for first order initial value problems" (with R.N. Mohapatra and Y. Yin), Journal of Mathematical Analysis and Applications 207, (1997), 206-219.

MEMBERSHIP IN PROFESSIONAL ORGANIZATIONS:

• AMS (American Mathematical Society)
• SIAM (Society for Industrial and Applied Mathematics)
• IFNA (International Federation of Nonlinear Analysts)
• SCROLL (University of Central Florida SCROLL)

COMPUTER CODE DEVELOPMENT AND USAGE:

1. SUPPORT - A computer code for two point boundary value problems via orthonormalization, has been used to solve the linear and nonlinear ordinary differential equations relating to the flow problems.
2. 3DTEMP7 - A special purpose computer program has been modified and used for the analysis of two and three-dimensional stability of growing boundary layers.
3. NCHAHVP - A special purpose computer program has been developed and used to solve the partial differential equations relating to the unsteady state of natural convective heat transfer problems.