Analytic solution of natural convection flow of a non-Newtonian fluid between two vertical flat plates using homotopy analysis method

Ziabakhsh, Z.; Domairry, G.

doi:10.1016/j.cnsns.2008.09.022

Cited by 65 publications

(26 citation statements)

References 21 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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“…Ziabakhsh and Domairry [10] have obtained the solution for natural convection of the Rivlin-Ericksen fluid of grade three between two infinite parallel vertical flat plates. Sajid et al [11] studied fully developed mixed convection flow of a viscoelastic fluid between permeable parallel vertical walls using HAM.…”

Section: Introductionmentioning

confidence: 99%

Natural convection flow of a couple stress fluid between two vertical parallel plates with Hall and ion-slip effects

Srinivasacharya

Kaladhar

2011

Acta Mech Sin

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The Hall and ion-slip effects on fully developed electrically conducting couple stress fluid flow between vertical parallel plates in the presence of a temperature dependent heat source are investigated. The governing non-linear partial differential equations are transformed into a system of ordinary differential equations using similarity transformations. The resulting equations are then solved using the homotopy analysis method (HAM). The effects of the magnetic parameter, Hall parameter, ion-slip parameter and couple stress fluid parameter on velocity and temperature are discussed and shown graphically.

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“…Sadighi and Ganji [17] obtained the exact solutions of Laplace equation with Dirichlet and Neumann boundary conditions using HPM. Ziabakhsh and Domairry [18] have studied the natural convection of a nonNewtonian fluid between two infinite parallel vertical flat plates and the effects of the non-Newtonian nature of fluid on the heat transferred by HPM.…”

Section: Introductionmentioning

confidence: 99%

Propulsion and launching analysis of variable-mass rockets by analytical methods

Ganji

Gorji

Hatami

et al. 2013

Propulsion and Power Research

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In this study, applications of some analytical methods on nonlinear equation of the launching of a rocket with variable mass are investigated. Differential transformation method (DTM), homotopy perturbation method (HPM) and least square method (LSM) were applied and their results are compared with numerical solution. An excellent agreement with analytical methods and numerical ones is observed in the results and this reveals that analytical methods are effective and convenient. Also a parametric study is performed here which includes the effect of exhaust velocity (C e ), burn rate (BR) of fuel and diameter of cylindrical rocket (d) on the motion of a sample rocket, and contours for showing the sensitivity of these parameters are plotted. The main results indicate that the rocket velocity and altitude are increased with increasing the C e and BR and decreased with increasing the rocket diameter and drag coefficient.

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Analytic solution of natural convection flow of a non-Newtonian fluid between two vertical flat plates using homotopy analysis method

Cited by 65 publications

References 21 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

Natural convection flow of a couple stress fluid between two vertical parallel plates with Hall and ion-slip effects

Propulsion and launching analysis of variable-mass rockets by analytical methods

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