MHD flow of a micropolar fluid near a stagnation-point towards a non-linear stretching surface

Hayat, Tasawar; Javed, Tariq; Abbas, Zaheer

doi:10.1016/j.nonrwa.2008.01.019

Cited by 144 publications

(83 citation statements)

References 44 publications

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“…Sadeghy et al [19] numerically studied the stagnation point flow of an upper convected Maxwell fluid. Hayat et al [20] investigated the magnetohydrodynamic (MHD) flow of a microploar fluid near the stagnation point flow of a micropolar fluid near a stagnation point. Ishak et al [21,22] investigated the mixed convection stagnation point flow of an incompressible viscous fluid towards a vertical permeable stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

Thermal Radiation Effects on the Mixed Convection Stagnation-Point Flow in a Jeffery Fluid

Hayat

Shehzad

Qasim

et al. 2011

Zeitschrift Für Naturforschung A

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This study describes the mixed convection stagnation point flow and heat transfer of a Jeffery fluid towards a stretching surface. Mathematical formulation is given in the presence of thermal radiation. The Rosseland approximation is used to describe the radiative heat flux. Similarity transformations are employed to reduce the partial differential equations into the ordinary differential equations which are then solved by a homotopy analysis method (HAM). A comparative study is made with the known numerical solutions in a limiting sense and an excellent agreement is noted. The characteristics of involved parameters on the dimensionless velocity and temperature are also examined. It is noticed that the velocity increases with an increase in Deborah number. Further, the temperature is a decreasing function of mixed convection parameter. We further found that for fixed values of other parameters, the local Nusselt number increases by increasing suction parameter and Deborah number.

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Section: Introductionmentioning

confidence: 99%

Thermal Radiation Effects on the Mixed Convection Stagnation-Point Flow in a Jeffery Fluid

Hayat

Shehzad

Qasim

et al. 2011

Zeitschrift Für Naturforschung A

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“…Blasius flow problem as a micropolar fluid is numerically discussed by Rees and Bossom [26]. Hayat et al [27] studied the stagnation point flow of a microploar fluid towards a nonlinear stretching sheet in the presence of an uniform applied magnetic field. Non-similar solutions for the boundary layers on a sphere in a micropolar fluid with heat and mass fluxes have been reported by Cheng [28].…”

Section: Introductionmentioning

confidence: 99%

Effects of Thermal Radiation on Unsteady Magnetohydrodynamic Flow of a Micropolar Fluid with Heat and Mass Transfer

Hayat

Qasim

2010

Zeitschrift Für Naturforschung A

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An analysis has been carried out to study the combined effects of heat and mass transfer on the unsteady flow of a micropolar fluid over a stretching sheet. The thermal radiation effects are presented. The arising nonlinear partial differential equations are first reduced to a set of nonlinear ordinary differential equations and then solved by the homotopy analysis method (HAM). Plots for various interesting parameters are presented and discussed. Numerical data for surface shear stress, Nusselt number, and Sherwood number in steady case are also tabulated. Comparison between the present and previous limiting results is given.

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“…(10)- (13) can be written as where two different symbols are used for the temperature in the PST and PHF cases, for convenience in handling the two cases. Using (19) in (15)- (18) we obtain the following boundary value problems: …”

Section: Mathematical Formulation For a Horizontal Stretching Sheetmentioning

confidence: 99%

“…In view of the importance of the stretching sheet problem involving a micropolar liquid several investigators have focused their attention on this problem [5][6][7][8][9][11][12][13][14][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]37,38,43]. The above investigators have considered the horizontal stretching sheet problem in a uniform property micropolar liquid.…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of the momentum and heat transfer equations for a hydromagnetic flow due to a stretching sheet of a non-uniform property micropolar liquid

Abel

Siddheshwar

Mahesha³

2011

Applied Mathematics and Computation

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a b s t r a c tA study of the hydromagnetic flow due to a stretching sheet and heat transfer in an incompressible micropolar liquid is made. Temperature-dependent thermal conductivity and a non-uniform heat source/sink render the problem analytically intractable and hence a numerical study is made using the shooting method based on Runge-Kutta and Newton-Raphson methods. The two problems of horizontal and vertical stretching are considered to implement the numerical method. The former problem involves one-way coupling between linear momentum and heat transport equations and the latter involves two-way coupling. Further, both the problems involve two-way coupling between the nonlinear equations of conservation of linear and angular momentums. A similarity transformation arrived at for the problem using the Lie group method facilitates the reduction of coupled, non-linear partial differential equations into coupled, non-linear ordinary differential equations. The algorithm for solving the resulting coupled, two-point, non-linear boundary value problem is presented in great detail in the paper. Extensive computation on velocity and temperature profiles is presented for a wide range of values of the parameters, for prescribed surface temperature (PST) and prescribed heat flux (PHF) boundary conditions.

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MHD flow of a micropolar fluid near a stagnation-point towards a non-linear stretching surface

Cited by 144 publications

References 44 publications

Thermal Radiation Effects on the Mixed Convection Stagnation-Point Flow in a Jeffery Fluid

Thermal Radiation Effects on the Mixed Convection Stagnation-Point Flow in a Jeffery Fluid

Effects of Thermal Radiation on Unsteady Magnetohydrodynamic Flow of a Micropolar Fluid with Heat and Mass Transfer

Numerical solution of the momentum and heat transfer equations for a hydromagnetic flow due to a stretching sheet of a non-uniform property micropolar liquid

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