AN APPLICATION OF ALGORITHMS OF ADAMS AND GEAR METHODS ON BOUNDARY LAYER CONVECTIVE HEAT TRANSFER WITH PRESSURE GRADIENT USING HOMOTOPY PERTURBATION METHOD (HPM) OVER A FLAT PLATE

2018 ◽  
Vol 80 (3) ◽  
Author(s):  
Amber Nehan Kashif ◽  
Zainal Abdul Aziz ◽  
Faisal Salah ◽  
K. K. Viswanathan

Boundary layer flow of convective heat transfer with pressure gradient over a flat plate is solved with an application of algorithms of Adams Method (AM) and Gear Method (GM) using Homotopy Perturbation Method (HPM). The distributions of temperature and velocity in the boundary layer are examined, particularly on the influences due to Prandtl number (Pr) and pressure gradient (m). Consequently, the equations of momentum and energy are resolved concurrently. These HPM outcomes have been compared with the previous published work in the literature; and these are found to be in good agreement with the results obtained from numerical methods.

1977 ◽  
Vol 99 (4) ◽  
pp. 513-519 ◽  
Author(s):  
R. C. C. Wang ◽  
B. T. F. Chung ◽  
L. C. Thomas

Transient forced convective heat transfer from a laminar boundary layer flow over a flat plate with appreciable thermal capacity and resistance is studied analytically. In the analysis, the flow is assumed to be steady and incompressible and the solid plate is subjected to a uniform step heat input at the lower surface. The integral method is utilized to reduce systems of nonlinear partial differential equations to a single integro-differential equation in terms of interfacial temperature which is then solved with the aid of finite difference technique. Numerical results for the fluid-solid interface temperature, heat transfer coefficient, and temperature distributions within the fluid and solid are presented. Some limiting solutions are found to agree well with the results of the previous theoretical analyses.


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