Laminar natural convection from a vertical plate with a step change in wall temperature
- Univ. of Waterloo, Ontario (Canada)
The study of natural convection heat transfer from a vertical flat plate in a quiescent medium has attracted a great deal of interest from many investigators in the past few decades. The plate with various thermal conditions that allow similarity transformations as well as those that are continuous and well defined have been examined. However, practical problems often involve wall conditions that are arbitrary and unknown a priori. To understand and solve problems involving general nonsimilar conditions at the wall, it is useful to investigate problems subjected to a step change in wall temperature. The problems impose a mathematical singularity and severe nonsimilar conditions at the wall. In this paper, a new analytical model that can deal with a discontinuous wall temperature variation is presented. The method results in a set of approximate solutions for temperature and velocity distributions. The validity and accuracy of the model is demonstrated by comparisons with the results of the aforementioned investigators. The agreement is excellent and the results obtained with the solution of this work are remarkably close to existing numerical data of Hayday et al. and the perturbation series solution of Kao.
- OSTI ID:
- 5329452
- Journal Information:
- Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States), Vol. 113:2; ISSN 0022-1481
- Country of Publication:
- United States
- Language:
- English
Similar Records
Non-Darcy mixed convection over a vertical flat plate in porous media with variable wall heat flux
Some transformations for natural convection on a vertical flat plate embedded in porous media with prescribed wall temperature