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1
Content available Melting heat transfer and MHD boundary layer flow of Eyring-Powell nanofluid over a nonlinear stretching sheet with slip
Reddy N. V. B., Kishan N., Reddy C. S.
International Journal of Applied Mechanics and Engineering
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2019
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Vol. 24, no. 1
161--178
EN
The steady laminar incompressible viscous magneto hydrodynamic boundary layer flow of an Eyring- Powell fluid over a nonlinear stretching flat surface in a nanofluid with slip condition and heat transfer through melting effect has been investigated numerically. The resulting nonlinear governing partial differential equations with associated boundary conditions of the problem have been formulated and transformed into a non-similar form. The resultant equations are then solved numerically using the Runge-Kutta fourth order method along with the shooting technique. The physical significance of different parameters on the velocity, temperature and nanoparticle volume fraction profiles is discussed through graphical illustrations. The impact of physical parameters on the local skin friction coefficient and rate of heat transfer is shown in tabulated form.
2
Content available Three-dimensional MHD boundary layer flow due to an axisymmetric shrinking sheet with radiation, viscous dissipation and heat source/sink
Madhu M., Balaswamy B., Kishan N.
International Journal of Applied Mechanics and Engineering
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2016
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Vol. 21, no. 2
393--406
EN
An analysis is made to study a three dimensional MHD boundary layer flow and heat transfer due to a porous axisymmetric shrinking sheet. The governing partial differential equations of momentum and energy are transformed into self similar non-linear ordinary differential equations by using the suitable similarity transformations. These equations are, then solved by using the variational finite element method. The flow phenomena is characterised by the magnetic parameter M, suction parameter S, porosity parameter Kp, heat source/sink parameter Q, Prandtl number Pr, Eckert number Ec and radiation parameter Rd. The numerical results of the velocity and temperature profiles are obtained and displayed graphically.
3
Content available Magneto-hydro dynamic flow and heat transfer of non-Newtonian power-law fluid over a non-linear stretching surface with viscous dissipation
Kishan N., Kavitha P.
International Journal of Applied Mechanics and Engineering
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2014
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Vol. 19, no. 2
259--273
EN
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.
4
Content available MHD effects on non-Newtonian power-law fluid past a continuously moving porous flat plate with heat flux and viscous dissipation
Kishan N., Shashidar Reddy B.
International Journal of Applied Mechanics and Engineering
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2013
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Vol. 18, no. 2
425--445
EN
The problem of a magneto-hydro dynamic flow and heat transfer to a non-Newtonian power-law fluid flow past a continuously moving flat porous plate in the presence of sucion/injection with heat flux by taking into consideration the viscous dissipation is analysed. The non-linear partial differential equations governing the flow and heat transfer are transformed into non-linear ordinary differential equations using appropriate transformations and then solved numerically by an implicit finite difference scheme. The solution is found to be dependent on various governing parameters including the magnetic field parameter M, power-law index n, suction/injection parameter ƒw, Prandtl number Pr and Eckert number Ec. A systematical study is carried out to illustrate the effects of these major parameters on the velocity profiles, temperature profile, skin friction coefficient and rate of heat transfer and the local Nusslet number.
5
Content available remote Viscous dissipation effects on MHD flow of a conducting power-law fluid with a pressure gradient
Kishan N., Shashidar Reddy B.
International Journal of Applied Mechanics and Engineering
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2012
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Vol. 17, no. 1
101-112
EN
The problem of a steady two-dimensional flow of a conducting power-law fluid past a flat plate in the presence of a transverse magnetic field under the influence of a pressure gradient by considering viscous dissipation effects is studied. The resulting governing partial differential equations are transformed into a set of non linear ordinary differential equations using appropriate transformation. The set of non linear ordinary differential equations is first linearized by using the Quasi-linearization technique and then solved numerically by using an implicit finite difference scheme. The system of algebraic equations is solved by using the Gauss-Seidal iterative method. The energy equation for a special case for which a similarity solution exist is also considered. The effects of the power-law index, magnetic parameter, viscous dissipation and generalized Prandtl number on the velocity and temperature profiles are of special interest. Numerical results are tabulated for the skin friction co-efficient. Velocity and temperature profiles are drawn for different controlling parameters which reveal the tendency of the solution.
6
Content available remote MHD heat transfer to non-Newtonian power-law fluids flowing over a wedge with viscous dissipation
Kishan N., Amrutha P.
International Journal of Applied Mechanics and Engineering
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2009
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Vol. 14, no 4
965-987
EN
Fluid flow and heat transfer of a power law fluid flowing over a wedge, taking into consideration viscous dissipation, in the presence of a magnetic field is investigated. The governing partial differential equations are reduced to ordinary differential equations by the application of group theory. By using quasi-linearization technique, first we linearized the coupled non-linear equations are first linearized, and then solved them numerically by a finite difference method. Numerical solutions for the governing momentum and energy equations are obtained. Results are presented as velocity profiles and temperature profiles for different flow parameters, such as, the magnetic field parameter M, Prandtl number Pr, Eckert number Ec, the flow behavior index n, and the wedge angle parameter m. Variations of heat transfer and skin friction for different values of Ec, Pr, M and m are presented. Heat transfer and skin friction results are compared for various values of the flow behaviour index n governing the nature of the fluid and also for different wedge angles.
7
Content available remote MHD free convection heat and mass transfer in a doubly stratified Darcy porous medium considering Soret and Dufour effects with viscous dissipation
Kishan N., Reddy M. C. K., Govardhan K.
International Journal of Applied Mechanics and Engineering
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2009
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Vol. 14, no 3
733-745
EN
Numerical studies are performed to examine the Soret, Dufour and viscous dissipation effects on steady MHD, free convection heat and mass transfer from a vertical surface in a doubly stratified Darcy porous medium. The non-linear partial differential equations, governing the problem under consideration, have been transformed by a similarity transformation into a system of ordinary differential equations, which is solved numerically by using the implicit finite difference scheme. The effects of various parameters on the flow field have been examined. The results for the wall temperature and concentration obtained are presented for various values of the parameters Le, N, M, Ec, Sr, Df, [...].
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