A note on the Blasius and Sakiadis flow of a non-Newtonian power-law fluid in a constant transverse magnetic field

The Galerkin approximative technique is used to solve the problem of stagnation in plane flow, the so-called “Hiemenz flow”, of a non-Newtonian power-law fluid in presence of a constant transverse magnetic field. The influence of the magnetic field strength on the wall shear stress is analyzed.

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Magneto-Hydro Dynamic Flow and Heat Transfer of Nonnewtonian Power-Law Fluid Over a Non-Linear Stretching Surface with Viscous Dissipation

International Journal of Applied Mechanics and Engineering ◽

10.2478/ijame-2014-0017 ◽

2014 ◽

Vol 19 (2) ◽

pp. 259-273 ◽

Cited By ~ 2

Author(s):

N. Kishan ◽

P. Kavitha

Keyword(s):

Magnetic Field ◽

Heat Transfer ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Power Law ◽

Transverse Magnetic ◽

Stretching Surface ◽

Power Law Fluid ◽

Flow And Heat Transfer ◽

Non Linear

Abstract A fluid flow and heat transfer analysis of an electrically conducting non-Newtonian power law fluid flowing over a non-linear stretching surface in the presence of a transverse magnetic field taking into consideration viscous dissipation effects is investigated. The stretching velocity, the temperature and the transverse magnetic field are assumed to vary in a power-law with the distance from the origin. The flow is induced due to an infinite elastic sheet which is stretched in its own plane. The governing equations are reduced to non-linear ordinary differential equations by means of similarity transformations. By using quasi-linearization techniques first linearize the non linear momentum equation is linearized and then the coupled ordinary differential equations are solved numerically by an implicit finite difference scheme. The numerical solution is found to be dependent on several governing parameters, including the magnetic field parameter, power-law index, Eckert number, velocity exponent parameter, temperature exponent parameter, modified Prandtl number and heat source/sink parameter. A systematic study is carried out to illustrate the effects of these parameters on the fluid velocity and the temperature distribution in the boundary layer. The results for the local skin-friction coefficient and the local Nusselt number are tabulated and discussed.

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Velocity Slip Effect on MHD Power-Law Fluid over a Moving Surface with Heat Generation, Viscous Dissipation and Thermal Radiation

Journal of Engineering Research and Reports ◽

10.9734/jerr/2021/v20i1017394 ◽

2021 ◽

pp. 103-112

Author(s):

Falana Ayodeji ◽

Babatope. O Pele

Keyword(s):

Magnetic Field ◽

Heat Transfer ◽

Differential Equations ◽

Power Law ◽

Fluid Velocity ◽

Velocity Slip ◽

Transverse Magnetic ◽

Power Law Fluid ◽

Moving Surface ◽

Linear Ordinary Differential Equations

The problem of laminar boundary layer flow of power-law fluid over a continuous moving surface in the presence of a transverse magnetic field with velocity slip was investigated. The governing partial differential equations for the flow and heat transfer were transformed into non-linear ordinary differential equations using the similarity method. These equations were solved numerically by applying the fourth-order Runge-Kutta method with a shooting technique. The solution is found to be dependent on various parameters such as power-law index, magnetic field parameter, suction, and injection parameters. The effect of various flow parameters in the form of dimensionless quantities on the flow field is discussed and graphically presented. It was observed that an increase in the magnetic property results to a decrease flow of fluid velocity and also, an increase in the Prandtl number results to an increase in the rate of heat transfer.

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