The influence of slip condition on thin film flow of a fourth grade fluid by the homotopy analysis method

Sajid, M.; Awais, Muhammad; Nadeem, Sohail; Hayat, Tasawar

doi:10.1016/j.camwa.2008.04.022

Cited by 49 publications

(24 citation statements)

References 30 publications

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“…Besides, heat transfer effects are also considered. The series solutions for two-dimensional and axisymmetric cases have been developed by using a powerful technique known as the homotopy analysis method (HAM) [16][17][18][19][20] . The convergence of the series solutions is obtained.…”

Section: Introductionmentioning

confidence: 99%

Series solutions for the stagnation flow of a second-grade fluid over a shrinking sheet

Nadeem

Hussain

Malik

et al. 2009

Appl. Math. Mech.-Engl. Ed.

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Section: Introductionmentioning

confidence: 99%

Series solutions for the stagnation flow of a second-grade fluid over a shrinking sheet

Nadeem

Hussain

Malik

et al. 2009

Appl. Math. Mech.-Engl. Ed.

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“…A A A are the first three RivlinEricken tensors and A 0 =I is the identity tensor [6][7][8][9][10][11].…”

Section: Problem Formulationmentioning

confidence: 99%

Effects of Magnetic Field on the MHD Flow of a Third Grade Fluid through Inclined Channel with Ohmic Heating

GT¹

2014

J Appl Computat Math

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In this paper, we investigate the combine effects of magnetic field on the MHD flow of a third grade fluid through inclined channel in the presence of a uniform magnetic field with the consideration of heat transfer. Three different problems, Couette flow, Poiseuille flow and Couette-Poiseuille flow have been analysed. The non-linear differential equations governing the flow and heat transfer are solved for the velocity and temperature profile by employing the regular perturbation technique and the results are presented graphically.

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“…Hayat et al [6] investigates the heat transfer analysis for the same problem in a fourth grade fluid. The slip effects for the flow a fourth grade fluid past a porous plate have been considered by Sajid et al [7]. In the studies [5][6][7] the analytic solution using homotopy analysis method is investigated.…”

Section: Introductionmentioning

confidence: 99%

Application of parameter differentiation for flow of a third grade fluid past an infinite porous plate

Sajid

2009

Numerical Methods Partial

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This article investigates the analytic solution for the flow of a third grade fluid past an infinite porous plate. The method of parameter differentiation is used to linearized the governing flow equation. The solution of the obtained linear equation is developed by differential transform method in combination with the method of superposition. The obtained results are compared with existing results in the literature and an excellent agreement is found. This shows that the parameter differentiation is a powerful technique for solving nonlinear problems.

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The influence of slip condition on thin film flow of a fourth grade fluid by the homotopy analysis method

Cited by 49 publications

References 30 publications

Series solutions for the stagnation flow of a second-grade fluid over a shrinking sheet

Series solutions for the stagnation flow of a second-grade fluid over a shrinking sheet

Effects of Magnetic Field on the MHD Flow of a Third Grade Fluid through Inclined Channel with Ohmic Heating

Application of parameter differentiation for flow of a third grade fluid past an infinite porous plate

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