Heat transfer analysis of the steady flow of a fourth grade fluid

Hayat, Tasawar; Noreen, S.; Sajid, Muhammad

doi:10.1016/j.ijthermalsci.2007.05.005

Cited by 31 publications

(18 citation statements)

References 25 publications

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“…Because of the complexity of these fluids, there is not a single constitutive equation which exhibits all properties of such non-Newtonian fluids. Several models have been suggested (Hayat et al [2,3]). Among these, the vast majority of non-Newtonian fluid models are concerned with the simple models viz.…”

Section: Introductionmentioning

confidence: 99%

Unsteady flow of a Maxwell fluid over a stretching surface in presence of chemical reaction

Mukhopadhyay

Bhattacharyya

2012

Journal of the Egyptian Mathematical Society

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An analysis is presented for unsteady two-dimensional flow of a Maxwell fluid over a stretching surface in presence of a first order constructive/destructive chemical reaction. Using suitable transformations, the governing partial differential equations are converted to ordinary one and are then solved numerically by shooting method. The flow fields and mass transfer are significantly influenced by the governing parameters. Fluid velocity initially decreases with increasing unsteadiness parameter and concentration decreases significantly due to unsteadiness. The effect of increasing values of the Maxwell parameter is to suppress the velocity field. But the concentration is enhanced with increasing Maxwell parameter.

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Section: Introductionmentioning

confidence: 99%

Unsteady flow of a Maxwell fluid over a stretching surface in presence of chemical reaction

Mukhopadhyay

Bhattacharyya

2012

Journal of the Egyptian Mathematical Society

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“…The homotopy analysis method (HAM) is used to find the solution of the fifth order highly nonlinear differential equation with two available boundary conditions. Hayat et al [9] have used the HAM method to investigate the influence of the heat transfer on the flow of a fourth grade fluid past a porous plate. The unsteady MHD flow of a fourth grade fluid due to an oscillating plate with suction and blowing has been investigated numerically by Wang and Wu [10].…”

Section: Introductionmentioning

confidence: 99%

“…The order of the resulting differential equation exceeds drastically from the available adherence boundary conditions due to the presence of the higher order material derivatives of the strain tensor in the constitutive relation for the fourth grade fluid. The literature survey reveals that in the aforementioned studies, respective authors [6][7][8][9][10] have augmented additional boundary conditions at infinity. However, these are relatively weak and physically plausible.…”

Section: Introductionmentioning

confidence: 99%

Blasius flow and heat transfer of fourth-grade fluid with slip

Sahoo

Poncet

2013

Appl. Math. Mech.-Engl. Ed.

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International audienceThis investigation deals with the effects of slip, magnetic field, and non-Newtonian flow parameters on the flow and heat transfer of an incompressible, electrically conducting fourth-grade fluid past an infinite porous plate. The heat transfer analysis is carried out for two heating processes. The system of highly non-linear differential equations is solved by the shooting method with the fourth-order Runge-Kutta method for moderate values of the parameters. The effective Broyden technique is adopted in order to improve the initial guesses and to satisfy the boundary conditions at infinity. An exceptional cross-over is obtained in the velocity profile in the presence of slip. The fourth-grade fluid parameter is found to increase the momentum boundary layer thickness, whereas the slip parameter substantially decreases it. Similarly, the non-Newtonian fluid parameters and the slip have opposite effects on the thermal boundary layer thickness

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“…The same problem was extended to study the steady flow of a fourth grade fluid by Sajid et al [5]. 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].…”

Section: Introductionmentioning

confidence: 99%

“…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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Heat transfer analysis of the steady flow of a fourth grade fluid

Cited by 31 publications

References 25 publications

Unsteady flow of a Maxwell fluid over a stretching surface in presence of chemical reaction

Unsteady flow of a Maxwell fluid over a stretching surface in presence of chemical reaction

Blasius flow and heat transfer of fourth-grade fluid with slip

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

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