On thermal boundary layers on a flat plate subjected to a variable heat flux
arXiv:1403.3233 · doi:10.1016/S0142-727X(97)10026-1
Abstract
The problem of a steady forced convection thermal boundary-layer past a flat plate with a prescribed surface heat flux is investigated both analytically and numerically. In view of the present formulation, the governing equations reduce to the well-know Blasius similarity equation and to the full boundary-layer energy equation with two parameters: Prandtl number and surface heat flux parameter. The range of existence of solutions is considered. The asymptotic solutions are derived and compared with the numerical solutions of the full boundary-layer equation. A very good agreement between these asymptotic solutions and numerical simulations are found in the range of Prandtl numbers considered.
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Cited by in corpus (8)
- Thermal interaction between free convection and forced convection along a vertical conducting wall
- Mixed-convection laminar film condensation on a semi-infinite vertical plate
- An accurate numerical method for systems of differentio-integral equations associated with multiphase flow
- Heat transfer in the flow of a cold, two-dimensional draining sheet over a hot, horizontal cylinder
- Heat transfer in the flow of a cold, axisymmetric vertical liquid jet against a hot, horizontal plate
- Heat transfer in the flow of a cold, axisymmetric jet over a hot sphere
- Laminar film condensation heat transfer on a vertical, non-isothermal, semi-infinite plate
- Dual solutions for opposing mixed convection in porous media