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Micropolar Fluid Past a Stretching Surface with Viscous Dissipation in a Non-Darcy Porous Medium Under Slip Velocity
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This paper investigated a numerical solution to an electrically conducting micropolar fluid with two dimensional boundary layer flow over a permeable stretching surface with heat flux. By concerning the viscous dissipation and non-Darcy porous medium, the slip velocity is also found. This is the extension of the previous study on MHD flow and heat transfer of a micropolar fluid over a stretching surface with heat generation (absorption) and slip velocity (Mahmoud and Waheed, Journal of the Egyptian Mathematical Society (2012) 20, 20–27). The governing equations are transformed into a system of non-linear ordinary differential equations by using the similarity transformations. Analytically these differential equations cannot be solved as they are highly non-linear. But they are solved numerically with the fourth order Runge-Kutta Gill procedure together with the shooting technique. For different values of governing parameters, namely, material parameter, magnetic parameter, slip parameter, Darcy number, Forchheimer number, Prandtl number and Eckert number, the numerical results are found for the velocity, angular velocity and temperature profiles as well as the skin-friction coefficient, the couple wall stress and the local Nusselt number.
Keywords
Micropolar Fluid, MHD, Slip Velocity, Non-Darcy Porous Medium, Viscous Dissipation.
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- Eringen, A. C., (1966), Theory of Micropolar, Fluid Journal of Mathematical Analysis and Applications, Vol.16, pp.1-18.
- Eringen, A. C., (1966), Theory of Micropolar, Fluid Journal of Mathematical Analysis and Applications, Vol.16, pp.1-18.
- Eringen A.C., (2001), Microcontinuum field theories, II. Fluent Media, 2001, Springer, New York.
- Gorla.R.S.R, Hassanien.I.A, 1990, Boundary layer flow of micropolar fluid near an axissymmetric stagnation point on a moving cylinder, International Journal of Engineering Science, Vol-28, Issue 4, pp.323-329.
- Gorla, R.S.R., Takhar, H.S., Boundary Layer Flow of a Micropolar Fluid on Rotating Axisymmetric Surfaces with a Concentrated Heat Source, Acta Mechanica Journal, Vol. 105, 1994, pp. 1-10.
- Gangadhar, K., (2012), Radiation and viscous dissipation effects on chemically reacting MHD boundary layer flow of heat and mass transfer through a porous vertical flat plate. Journal of Energy, Heat and Mass Transfer, Vol. 34, pp.245-259.
- Mohammed Ibrahim. S., Gangadhar, K., and Bhaskar Reddy, N., (2015), Radiation and Mass Transfer Effects on MHD Oscillatory Flow in a Channel Filled with Porous Medium in the presence of Chemical Reaction, Journal of Applied Fluid Mechanics,Vol.8, No.3, pp.529-537.
- Gangadhar, K., (2013), Soret and Dufour Effects on Hydro Magnetic Heat and Mass Transfer over a Vertical Plate with a Convective surface Boundary Condition and Chemical Reaction, Journal of Applied Fluid Mechanics, Vol-6, No.1, pp.95-105.
- Rawat, S., Kapoor, S., and Bhargava, R., (2016), MHD Flow and heat and Mass Transfer of Micropolar Fluid over a Nonlinear Stretching Sheet with Variable Micro Inertia Density,Heat Flux and Chemical Reaction in a Non-Darcy Porous Medium, Journal of Applied Fluid Mechanics,Vol.9, No.1, pp.321-331.
- Makinde, O. D., Aziz, A., (2010), MHD mixed convection from a vertical plate embedded in a porous medium with a convective boundary condition, International Journal of Thermal Sciences, Vol.49, pp-1813-1820.
- Olanrewaju, P. O., Okedayo, G. T., Gbadeyan, J. A., (2011), Effects of thermal radiation on magneto hydro dynamic (MHD) flow of a micro polar fluid towards a stagnation point on a vertical place, Int.J. Of App.Sci. and Tech.,Vol.1 No.6, pp.219-230.
- Rahman, M.M., Alim, M.A., Sarker, M.M.A., (2010), Numerical study on the conjugate effect of joule heating and magneto-hydrodynamics mixed convection in an obstructed lid-driven square cavity, International Communications in Heat and Mass Transfer, Vol.37, Issue 5, pp 524-534.
- RangaRao, T., Gangadhar, K., Hema Sundar Raju, B., Venkata Subba Rao, M., (2014), Slip Flow and Magneto-Nanofluid over an Exponentially Stretching Permeable Sheet with Heat Generation/Absorption, International Journal of Engineering Inventions, Vol.3, pp.47-60.
- Bharathi Devi, M., and Gangadhar, K., (2015), Effects of viscous dissipation on falkner-skan boundary layer flow past a wedge through a porous medium with slips boundary condition, International Journal of Engineering Inventions, Vol. 4, Issue 11, pp.21-35.
- Mostafa A.A. Mahmoud, Shimaa E.Waheed, (2012), MHD flow and heat transfer of a micropolar fluid over a stretching surface with heat generation (absorption) and slip velocity, Journal of the Egyptian Mathematical society, Vol.20, pp.20-27.
- Megahed A.M., (2015), Effect of slip velocity on casson thin film and heat transfer due to unsteady stretching sheet in presence of variable heat flux and viscous dissipation,Applied mathematics and Mechanics(English addition), Vol.36, Issue 10, pp:1273-1284.
- Lakshmi Narayana, K., and Gangadhar, K., (2015), Second order slip flow of a MHD micropolar fluid over an unsteady stretching surface, Advances in Applied Science Research, Vol.6(8), pp.224-241.
- Ralston, Wilf, (1960), Mathematical Methods for Digital Computers, John Wiley and Sons, N.Y., 117.
- Andersson H.I., (2002), Slip flow past a stretching surface, Acta Mech., Vol.158, pp.121–125.
- Mahmoud, M.A.A., (2010), Chemical reaction and variable viscosity effects on flow and mass transfer of a non-Newtonian viscoelastic fluid past a stretching surface embedded in a porous medium, Meccanica, Vol.45, pp.835–846
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