Heat Conduction Using Green's Functions

Kevin D. Cole received his MS in aerospace engineering and mechanics from the University of Minnesota in 1979 and his PhD in mechanical engineering from Michigan State University in 1986. Dr. Cole has held several positions in academia and industry and is currently associate professor of mechanical engineering at the University of Nebraska–Lincoln. He is the creator of the Green’s Function Library Internet site. James V. Beck received his SM in mechanical engineering from MIT in 1957 and his PhD from Michigan State University in 1964. Dr. Beck is currently professor emeritus of mechanical engineering at Michigan State University. He is the originator of the Inverse Problems Symposium and is the inventor, with Professor Litkouhi, of the numbering system for heat conduction solutions. Dr. Beck has contributed to the field of heat transfer with numerous referred journal articles and books. A. Haji-Sheikh received his MS in ME, MA in Mathematics from the University of Michigan and a PhD in 1965 from the University of Minnesota. In 1966, he joined the Department of Mechanical Engineering at the University of Texas at Arlington, and is currently a professor and member of the Distinguished Scholars Academy. His contributions to heat conduction include the floating random walk in Monte Carlo method, Green’s function in two-step models, inverse problems, and Galerkin-based integral methods.Bahman Litkouhi received his MS and PhD from Michigan State University and is presently professor and graduate program director of the Mechanical Engineering Department at Manhattan College. Dr. Litkouhi is a registered professional engineer in the state of New York and a member of the American Society of Mechanical Engineers. He has authored several technical publications in heat transfer and has served as an industrial consultant.

• Introduction to Green’s Functions. Numbering System in Heat Conduction. Derivation of the Green’s Function Solution Equation. Methods for Obtaining Green’s Functions. Improvement of Convergence and Intrinsic Verification. Rectangular Coordinates. Cylindrical Coordinates. Radial Heat Flow in Spherical Coordinates. Steady-Periodic Heat Conduction. Galerkin-Based Green’s Functions and Solutions. Applications of the Galerkin-Based Green’s Functions. Unsteady Surface Element Method. Problems. References. Appendices. Index.