Free Convection of Micropolar Fluid over an Infinite Inclined ‎Moving Porous Plate

Document Type : Research Paper

Authors

Department of Mathematics, Siksha O Anusandhan Deemed to be University, Khandagiri Square, Bhubaneswar, 751030, Odisha, India

Abstract

The present paper analyzes free convective heat and mass transfer of non-conducting micropolar fluid flow over an infinitely inclined moving porous plate in the presence of heat source and chemical reaction. Moreover, the effect of thermal radiation is also taken care of in the same study. The present investigation is relevant to the fabrication system in industries corresponding to the materials composed with high-temperature. Similarity technique is adopted with similarity variable to transform the non-dimensional form of the partial differential equations into ordinary differential equations. To get the approximate solution of these transformed complex nonlinear set of ODEs we have employed fourth order Runge–Kutta method in conjunction with shooting technique. The validation of the present result as well as critical issues is addressed in the discussion section refereeing to the previously published work as a particular case. The behavior of physical parameters governs the flow phenomena are displayed via graphs and tables.

Keywords

Publisher’s Note Shahid Chamran University of Ahvaz remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

[1] Eringen, A. C., The theory of Micropolar fluids, Journal of Mathematics and Mechanics, 16, 1966, 1-18
[2] Eringen, A. C., Theory of thermomicropolar fluids, Journal of Mathematical Analysis and Applications, 38, 1972, 480-496.
[3] Ahmadi, G., Self similar solution of incompressible micropolar boundary layer flow over a semi-infinite plate, International Journal of Engineering Science, 14, 1976, 639-646.
[4] Carragher, P., Crane, L. J., Heat transfer on a continuous stretching sheet, Zeitschrift für Angewandte Mathematik und Mechanik, 62, 1982, 564–565.
[5] Chim, K. E., Nazar, R., Arifin, N.M., Pop, I., Effect of variable viscosity on mixed convection boundary layer flow over a vertical surface embedded in a porous medium, International Communications in Heat and Mass Transfer, 34(4), 2007, 464–473.
[6] Chamkha J. A., MHD-free convection from a vertical plate embedded in a thermally stratified porous medium with Hall effects, Appl. Math. Modelling, 21, 1997, 603-609.
[7] Beg, O. A., Bhargava, R., Rawat, S., Takhar, H. S., Beg T. A., Study of Steady Buoyancy-Driven Dissipative Micropolar Free Convection Heat and Mass Transfer in a Darcian Porous Regime with Chemical Reaction, Nonlinear Analysis: Modelling and Control, 12, 2007, 157–180.        
[8] Rawat, S., Bhargava, R., Finite element study of natural convection heat and mass transfer in a micropolar fluid-saturated porous regime with soret/dufour effects, Int. J. Appl. Math Mech., 5(2), 2009, 58-71.
[9] Hayat, T., Mustafa, M., Pop, I., Heat and mass transfer for Soret and Dufour's effect on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a visco-elastic fluid, Communications in Nonlinear Science and Numerical Simulation, 15(5), 2010, 1183–1196.
[10] Mukhopadhyay, S., Effect of thermal radiation on unsteady mixed convection flow and heat transfer over a porous stretching surface in porous medium, International Journal of Heat and Mass Transfer, 52(13), 2009, 3261–3265.
[11] Rahman, M. M., Sattar, M. A., MHD convective flow of a micro polar fluid past a continuously moving vertical porous plate in the presence of heat generation/absorption, J. Heat Transfer, 17, 2006, 85-90.
[12] Reddy, C. V. R., Murthy, C. H. V. R., Reddy, N. B., Unsteady MHD free convective mass transfer flow past an infinite vertical porous plate with variable suction and Soret effect, Int. J. Appl. Math Mech., 7(21), 2011, 70-84.
[13] Rawat, S., Bhargava, R., Kapoor, S., Beg, O. A., Heat and Mass Transfer of a Chemically Reacting Micropolar Fluid Over a Linear Streaching Sheet in Darcy Forchheimer Porous Medium., International Journal of Computer Applications, 44 (6), 2012, 40-51.
[14] Tripathy, R. S., Dash, G. C., Mishra, S. R., Baag, S., Chemical reaction effect on MHD free convective surface over a moving vertical plane through porous medium, Alexandria Engineering Journal, 54 (3), 2015, 673-679.
[15] Tripathy, R. S., Mishra, S. R., Dash, G. C., Hoque, M. M., Numerical analysis of hydromagnetic micropolar fluid along a stretching sheet with non-uniform heat source and chemical reaction, Engineering Science and Technology, An International Journal, 19(3), 2016, 1573-1581.
[16] Mishra, S. R., Baag, S., Mohapatra, D. K., Chemical reaction and Soret effects on hydromagnetic micropolar fluid along a stretching sheet, Engineering Science and Technology, An International Journal, 19(4), 2016, 1919-1928.
[17] Baag, S., Mishra, S. R., Dash, G. C., Acharya, M. R., Numerical investigation on MHD micropolar fluid flow toward a stagnation point on a vertical surface with heat source and chemical reaction, Journal of King Saud Engineering Sciences, 29, 2017, 75-83.
[18] Mishra, S. R., Hoque, M. M., Mohanty, B., Heat transfer effect on MHD flow of a micropolar fluid through porous medium with uniform heat source and radiation, Nonlinear Engineering – Modeling and Application, 8(1), 2019, 65-73.
[19] Ram Reddy, Ch., Murthy, P. V. S. N., Chamkha, A. J., Rashad, A. M., Soret effect on mixed convection flow in a nanofluid under convective boundary condition, International Journal of Heat and Mass Transfer, 64, 2013, 384-392.