# Similarity solutions for flow and heat transfer over a permeable surface with convective boundary condition

Research output: Contribution to journalArticle

185 Citations (Scopus)

### Abstract

The steady laminar boundary layer flow over a permeable flat plate in a uniform free stream, with the bottom surface of the plate is heated by convection from a hot fluid is considered. Similarity solutions for the flow and thermal fields are possible if the mass transpiration rate at the surface and the convective heat transfer from the hot fluid on the lower surface of the plate vary like x-1/2, where x is the distance from the leading edge of the solid surface. The governing partial differential equations are first transformed into ordinary differential equations, before being solved numerically. The effects of the governing parameters on the flow and thermal fields are thoroughly examined and discussed.

Original language English 837-842 6 Applied Mathematics and Computation 217 2 https://doi.org/10.1016/j.amc.2010.06.026 Published - 15 Sep 2010

### Fingerprint

Similarity Solution
Heat Transfer
Boundary conditions
Heat transfer
Fluid
Transpiration
Convective Heat Transfer
Laminar boundary layer
Fluids
Boundary layer flow
Boundary Layer Flow
Flat Plate
Laminar Flow
Ordinary differential equations
Partial differential equations
Convection
Ordinary differential equation
Partial differential equation
Vary
Hot Temperature

### Keywords

• Boundary layer
• Convective boundary condition
• Heat transfer
• Permeable surface
• Similarity solution

### ASJC Scopus subject areas

• Applied Mathematics
• Computational Mathematics

### Cite this

In: Applied Mathematics and Computation, Vol. 217, No. 2, 15.09.2010, p. 837-842.

Research output: Contribution to journalArticle

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