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**Boundary layer convective heat transfer with pressure gradient using homotopy perturbation method (HPM) over a flat plate.**
*(English)*
Zbl 1198.80001

Summary: Convective heat transfer equations of boundary layer with pressure gradient over a flat plate are solved using Homotopy Perturbation Method (HPM). This variation method is able to study the effects of Prandtl number \((Pr)\) and pressure gradient \((m)\) on both temperature and velocity distributions in the boundary layer. To this aim, the nonlinear equations of momentum and energy are solved simultaneously. Results of HPM in the absence of pressure gradient are in good agreement with results obtained from numerical methods. In addition, a general equation in terms of \(Re\) number, \(Pr\) number, and pressure gradient is derived using \(Nu\) number definition which can be used to obtain heat transfer coefficient for various situations.

Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

### MSC:

80-04 | Software, source code, etc. for problems pertaining to classical thermodynamics |

80M25 | Other numerical methods (thermodynamics) (MSC2010) |

80A20 | Heat and mass transfer, heat flow (MSC2010) |

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\textit{M. Fathizadeh} and \textit{F. Rashidi}, Chaos Solitons Fractals 42, No. 4, 2413--2419 (2009; Zbl 1198.80001)

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