Heat transfer between a fluid and a plate: multidimensional Laplace transformation methods
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 st...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1983-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171283000538 |
| id |
doaj-17c1175a22d340c083d1f2da17b88a66 |
|---|---|
| record_format |
Article |
| spelling |
doaj-17c1175a22d340c083d1f2da17b88a662020-11-24T21:47:25ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-016358959610.1155/S0161171283000538Heat transfer between a fluid and a plate: multidimensional Laplace transformation methodsR. G. Buschman0Department of Mathematics, University of Wyoming, Box 3036, University Station, Laramie 82071, WY, USAMultidimensional 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 similarlyhttp://dx.doi.org/10.1155/S0161171283000538multidimensional Laplace transformationboundary value problemsheat transferscompatability conditionserror functions. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
R. G. Buschman |
| spellingShingle |
R. G. Buschman Heat transfer between a fluid and a plate: multidimensional Laplace transformation methods International Journal of Mathematics and Mathematical Sciences multidimensional Laplace transformation boundary value problems heat transfers compatability conditions error functions. |
| author_facet |
R. G. Buschman |
| author_sort |
R. G. Buschman |
| title |
Heat transfer between a fluid and a plate: multidimensional Laplace transformation methods |
| title_short |
Heat transfer between a fluid and a plate: multidimensional Laplace transformation methods |
| title_full |
Heat transfer between a fluid and a plate: multidimensional Laplace transformation methods |
| title_fullStr |
Heat transfer between a fluid and a plate: multidimensional Laplace transformation methods |
| title_full_unstemmed |
Heat transfer between a fluid and a plate: multidimensional Laplace transformation methods |
| title_sort |
heat transfer between a fluid and a plate: multidimensional laplace transformation methods |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1983-01-01 |
| description |
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 |
| topic |
multidimensional Laplace transformation boundary value problems heat transfers compatability conditions error functions. |
| url |
http://dx.doi.org/10.1155/S0161171283000538 |
| work_keys_str_mv |
AT rgbuschman heattransferbetweenafluidandaplatemultidimensionallaplacetransformationmethods |
| _version_ |
1725897143896506368 |