Homotopy analysis method for the heat transfer in a asymmetric porous channel with an expanding or contracting wall

Si, Xinhui; Zheng, Liancun; Zhang, Xinxin; Yang, Jianhong

doi:10.1016/j.apm.2011.03.009

Cited by 31 publications

(16 citation statements)

References 28 publications

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“…In the normal HAM, −curve method is used in which −curves are plotted to guess the convergence-control parameters on the lines of Guled and Singh (2016) and Xinhui et al (2011). But in this analysis, the determination of the optimal value of the convergence-control parameter is not easily possible.…”

Section: Introductionmentioning

confidence: 99%

Homotopy Analysis for MHD Hiemenz Flow in a Porous Medium With Thermal Radiation, Velocity and Thermal Slips Effects

Bano¹,

Sayyed²

2018

Frontiers in Heat and Mass Transfer

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The present study deals with the two dimensional steady laminar forced MHD Hiemenz flow past a flat plate in a porous medium. The effects of thermal radiation and partial slips on the flow field have been investigated under the variable wall temperature condition of the plate. The governing equations have been transformed into a set of coupled non-linear ordinary differential equations (ODEs) by using suitable similarity transformations. These equations have been solved analytically by using homotopy analysis method (HAM). The effects of Prandtl number, suction/blowing parameter, permeability parameter, velocity slip parameter, radiation parameter, magnetic parameter, wall temperature exponent and thermal slip on velocity and temperature profiles have also been studied graphically. Our results have been validated with the help of results that have already been published.

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Section: Introductionmentioning

confidence: 99%

Homotopy Analysis for MHD Hiemenz Flow in a Porous Medium With Thermal Radiation, Velocity and Thermal Slips Effects

Bano¹,

Sayyed²

2018

Frontiers in Heat and Mass Transfer

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“…They proposed a procedure that leads to an exact similarity solution of Navier-Stokes equations in semi-infinite rectangular channels with porous and expanding walls. Recently, Xinhui et al [11] studied the heat transfer in an asymmetric porous channel with expanding and contracting wall using HAM.…”

Section: Introductionmentioning

confidence: 99%

Thermal-diffusion and diffusion-thermo effects on MHD flow of viscous fluid between expanding or contracting rotating porous disks with viscous dissipation

Srinivas

Reddy

Ramamohan

et al. 2016

Journal of the Egyptian Mathematical Society

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The present work investigates the effects of thermal-diffusion and diffusion-thermo on MHD flow of viscous fluid between expanding or contracting rotating porous disks with viscous dissipation. The partial differential equations governing the flow problem under consideration have been transformed by a similarity transformation into a system of coupled nonlinear ordinary differential equations. An analytical approach, namely the homotopy analysis method is employed in order to obtain the solutions of the ordinary differential equations. The effects of various emerging parameters on flow variables have been discussed numerically and explained graphically. Comparison of the HAM solutions with the numerical solutions is performed. MATHEMATICS SUBJECT CLASSIFICATION: 76D05; 80A20; 76W05 ª 2014 Production and hosting by Elsevier B.V. on behalf of Egyptian Mathematical Society.

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“…For example, the perturbation method is one well-known method; however, the existence of a small parameter has imposed restrictions on the method. Among them, the homotopy analysis method (HAM) [18,19], the homotopy-perturbation method (HPM) [19], the Adomian decomposition method (ADM) [20], the variational iteration method (VIM) [21], and the differential transform method (DTM) have been widely developed for solving linear and non-linear equations in heat transfer [22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Conjugate Forced Convection Heat Transfer From a Heated Flat Plate of Finite Thickness and Temperature- Dependent Thermal Conductivity

Hajmohammadi

Nourazar

2013

Heat Transfer Engineering

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In this paper, a conjugate forced convection heat transfer from a good conducting plate with temperature-dependent thermal conductivity is studied. The semi-analytical solution for the nonlinear integro-differential equation occurring in the problem is handled easily and accurately by implementing the differential transform method (DTM). The horizontal plate is heated with uniform heat flux at the lower surface while being cooled at the upper surface under laminar forced convection flow. A numerical approach is also performed via a finite-volume method to examine the validity of the results obtained by DTM. The results of DTM show closer agreement with the results of the numerical method than the results obtained by the perturbation method existing in the literature. It is concluded that for a good conducting plate with a finite thickness the distribution of the conjugate heat flux at the upper surface is significantly affected by the plate thickness. Moreover, we conclude that in the conjugate heat transfer case the temperature distribution of the plate is flatter than the one in the nonconjugate case.

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Homotopy analysis method for the heat transfer in a asymmetric porous channel with an expanding or contracting wall

Cited by 31 publications

References 28 publications

Homotopy Analysis for MHD Hiemenz Flow in a Porous Medium With Thermal Radiation, Velocity and Thermal Slips Effects

Homotopy Analysis for MHD Hiemenz Flow in a Porous Medium With Thermal Radiation, Velocity and Thermal Slips Effects

Thermal-diffusion and diffusion-thermo effects on MHD flow of viscous fluid between expanding or contracting rotating porous disks with viscous dissipation

Conjugate Forced Convection Heat Transfer From a Heated Flat Plate of Finite Thickness and Temperature- Dependent Thermal Conductivity

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