Suction/Injection Effects on MHD Flow of a Non-Newtonian Power-Law Fluid Past a Continuously Moving Porous Flat Plate with Heat Flux and Viscous Dissipation

被引：0

作者：

Kavitha P. ^{[1
]}

Kishan N. ^{[2
]}

机构：

[1] Nalla Narashima Reddy Education Society’s Group of Institutions, Ghatkesar, RR, 88, A.P.

[2] Department of Mathematics, Osmania University, 7, Hyderabad, A.P.

来源：

International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / 3期

关键词：

Magnetic field effects; Non-Newtonian fluid; Power-law index; Radiation; Suction; /injection; Viscous dissipation;

D O I：

10.1007/s40819-016-0244-x

中图分类号：

学科分类号：

摘要：

In the present work, we studied the problem of magneto-hydro dynamic flow and heat transfer to the non-Newtonian power-law fluid flow past a continuously moving porous permeability flat plate in the presence of radiation and suction/injection with heat flux by taking into consideration the viscous dissipation. The local similarity solution is used to transform the system of partial differential equations, describing the problem into a system of highly coupled nonlinear ordinary differential equations. The non linear ordinary differential equations are first linearized by using the Quasi-linearization technique and then solved numerically by an implicit finite difference scheme. The solution is found to be dependent on various governing parameter including magnetic field parameter M, power-law index n, suction/injection parameter f w , Prandtl number Pr, permeability Kp, Eckert number Ec and radiation parameter R. A systematical study is carried out to illustrate the effects of these major parameters on the velocity profiles, temperature profile, skin friction coefficient and the rate of heat transfer and the local Nusselt number. © 2016, Springer India Pvt. Ltd.

引用

页码：2389 / 2408

页数：19

共 25 条

[1] Acrivos A., Shah M.J., Petersen E.E., Momentum and heat transfer in laminar boundary layer flows of non-Newtonian fluids past external surfaces, AIChE J., 6, pp. 312-317, (1960)
[2] Schowalter W.R., The application of boundary layer theory to power-law pseudo plastic fluid: similar solutions, AICHE J., 6, pp. 24-28, (1960)
[3] Fox V.G., Erickson L.E., Fan L.T., The laminar boundary layer on a moving continuous flat sheet immersed in a non-Newtonian fluid, AIChE J., 15, pp. 327-333, (1969)
[4] Sakiadis B.C., Boundary layer behavior on continuous solid surface: the boundary layer on a continuous moving surface, AIChE J., 7, pp. 26-28, (1961)
[5] Tsou F.K., Sparrow E.M., Goldstein V., Flow and heat transfer in the boundary layer on a continuous moving surface, Int. J. Heat Mass Transf., 10, pp. 219-235, (1967)
[6] Howell T.G., Jeng D.R., De Witt K.J., Momentum and heat transfer on a continuous moving surface in a power-law fluid, Int. J. Heat Mass Transf., 40, pp. 1853-1861, (1997)
[7] Mahmoud M.A.A., Mahmoud M.A.E., Analytical solutions of hydro-magnetic boundary layer flow of a non-Newtonian power-law fluid past a continuously moving surface, Acta Mech., 181, pp. 83-89, (2006)
[8] Sahu A.K., Mathur M.N., Chaturani P., Saena Bharatiya S., Momentum and heat transfer from a continuous moving surface to a power-law fluid, Acta Mech., 142, pp. 119-131, (2000)
[9] Andersson H.I., Bech K.H., Dandapat B.S., Magneto hydrodynamic flow of a power-law fluid over a stretching sheet, Int. J. Non-linear Mech., 27, pp. 929-936, (1992)
[10] Madhu M., Kishan N., Magneto-hydrodynamic mixed convection of a non-Newtonian power-law nanofluid past a moving vertical plate with variable density, J. Niger. Math. Soc., 35, 1, pp. 199-207, (2016)

← 1 2 3 →