Heat transfer analysis of unsteady boundary layer flow by homotopy analysis method

Mehmood, Ahmer; Ali, Asif; Shah, Tariq

doi:10.1016/j.cnsns.2006.09.008

Cited by 58 publications

(38 citation statements)

References 37 publications

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“…In the works of Hayat et al [7][8][9][10] and Liao [11][12][13][14], it is also shown that the HAM method logically contains some previous techniques such as Adomian's decomposition method, Lyapunov's artificial small parameter method, and the δ-expansion method. Many authors (Abbasbandy [15], Ali et al [16,17], and Domairry et al [18][19][20][21]) have successfully applied HAM in solving different types of nonlinear problems, i.e., coupled, decoupled, homogeneous, and non-homogeneous equations arising in different physical problems such as heat transfer, fluid flow, oscillatory systems, etc.…”

Section: Introductionmentioning

confidence: 99%

Determination of temperature distribution for annular fins with temperature‐dependent thermal conductivity

Roozbehani

Montazeri

2011

Heat Trans. Asian Res.

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In this paper, homotopy analysis method (HAM) has been used to evaluate the temperature distribution of annular fin with temperature-dependent thermal conductivity and to determine the temperature distribution within the fin. This method is useful and practical for solving the nonlinear heat transfer equation, which is associated with variable thermal conductivity condition. HAM provides an approximate analytical solution in the form of an infinite power series. The annular fin heat transfer rate with temperature-dependent thermal conductivity has been obtained as a function of thermo-geometric fin parameter and the thermal conductivity parameter describing the variation of the thermal conductivity.

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Section: Introductionmentioning

confidence: 99%

Determination of temperature distribution for annular fins with temperature‐dependent thermal conductivity

Roozbehani

Montazeri

2011

Heat Trans. Asian Res.

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“…In this section, HAM is applied to solve (14), (21) and (27) subject to boundary conditions (11) and (28). The initial guesses and auxiliary linear operators are chosen in the following form:…”

Section: Solution Using Homotopy Analysis Methodsmentioning

confidence: 99%

“…It flows out through the The model of Walter's B fluid is chosen for our study as it involves only one non-Newtonian parameter. The Cauchy stress tensor T in such a fluid is related to the motion in the following manner [27]:…”

Section: Governing Equationsmentioning

confidence: 99%

“…In recent years, much attention has been devoted to the newly developed methods to construct an analytic solution of these equations such as Homotopy Perturbation Method [9][10][11], Differential Transformation Method [12][13][14], and Optimal Homotopy Asymptotic Method [15,16] and so on. One of these techniques is Homotopy Analysis Method (HAM), which was introduced by Liao [17][18][19][20] and has been successfully applied to solve many types of nonlinear problems [21][22][23][24][25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

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Homotopy Analysis Method to Walter’s B fluid in a vertical channel with porous wall

2010

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In this research the steady three-dimensional flow of a Walter's B fluid in a vertical channel with porous wall, through which the fluid is injected uniformly into the channel through one side of the channel, is studied analytically using Homotopy Analysis Method (HAM). The channel is assumed to be infinite and uniform. The effects of the elasticity of the fluid on the flow and heat transfer on the walls of the channel are discussed.

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“…Hayat et al [54] investigated mixed convection flow of a micropolar fluid over a nonlinearly stretching sheet by using the homotopy analysis method. Mehmood et al [55] presented complete analytic solution to the unsteady heat transfer flow of an incompressible viscous fluid over a permeable plane wall with the homotopy analysis method.…”

Section: Introductionmentioning

confidence: 99%

Heat Transfer and Flows of Thermal Convection in a Fluid-Saturated Rotating Porous Medium

Kang

Xia

Liu

2015

Mathematical Problems in Engineering

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Thermal convection at the steady state for high Rayleigh number in a rotating porous half space is investigated. Taking into account the effect of rotation, Darcy equation is extended to incorporate the Coriolis force term in a rotating reference frame. The velocity and temperature fields of thermal convection are obtained by using the homotopy analysis method. The influences of Taylor number and Rayleigh number on the Nusselt number, velocity profile, and temperature distribution are discussed in detail. It is found that the Nusselt number decreases rapidly with the increase of Taylor number but tends to have an asymptotic value. Besides, the rotation can give rise to downward flow in contrast with the upward thermal convection.

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Heat transfer analysis of unsteady boundary layer flow by homotopy analysis method

Cited by 58 publications

References 37 publications

Determination of temperature distribution for annular fins with temperature‐dependent thermal conductivity

Determination of temperature distribution for annular fins with temperature‐dependent thermal conductivity

Homotopy Analysis Method to Walter’s B fluid in a vertical channel with porous wall

Heat Transfer and Flows of Thermal Convection in a Fluid-Saturated Rotating Porous Medium

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