International Journal of Mathematics and Mathematical Sciences
Volume 6 (1983), Issue 3, Pages 589-596

Heat transfer between a fluid and a plate: multidimensional Laplace transformation methods

R. G. Buschman

Department of Mathematics, University of Wyoming, Box 3036, University Station, Laramie 82071, WY, USA

Received 4 February 1982

Copyright © 1983 R. G. Buschman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Multidimensional Laplace transformations are used to obtain the surface temperature and the surface heat flux of a plate with a fluid flowing across it without solving the complete boundary value problem. It is also shown that the constant initial and boundary values can be relaxed and the method still applies. The solution to the boundary value problem at points away from the surface can be treated similarly