Application of He's homotopy perturbation method to boundary layer flow and convection heat transfer over a flat plate

2007 ◽  
Vol 372 (1) ◽  
pp. 33-38 ◽  
Author(s):  
M. Esmaeilpour ◽  
D.D. Ganji
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.


2016 ◽  
Vol 18 (1) ◽  
pp. 12 ◽  
Author(s):  
Anuj Kumar Jhankal

<p>The magneto-hydrodynamics (MHD) boundary layer flow of an electrically conducting upper-convected Maxwell (UCM) fluid in porous medium is studied. The governing similarity equation is solved by He’s Homotopy perturbation method (HPM). The main advantage of HPM is that it does not require the small parameters in the equations and hence the limitations of traditional perturbation can be eliminated. The results reveal that the proposed method is very effective and simple and can be applied to other nonlinear problems. The effects of various physical parameters on the flow presented and discussed through graphs.</p><p>Chemical Engineering Research Bulletin 18(2015) 12-17</p>


Fluids ◽  
2016 ◽  
Vol 1 (4) ◽  
pp. 31 ◽  
Author(s):  
Mohammad Safaei ◽  
Goodarz Ahmadi ◽  
Mohammad Goodarzi ◽  
Amin Kamyar ◽  
S. Kazi

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