## THERMAL SCIENCE

International Scientific Journal

### ON COMBINED EFFECT OF THERMAL RADIATION AND VISCOUS DISSIPATION IN HYDROMAGNETIC MICROPOLAR FLUID FLOW BETWEEN TWO STRETCHABLE DISKS

**ABSTRACT**

In this paper, we investigate numerically the flow and heat transfer characteristics of a viscous incompressible electrically conducting micropolar fluid between two infinite uniformly stretching disks, taking the radiation and viscous dissipation effects into consideration. The transformed self similar coupled ordinary differential equations are solved using quasi-linearization method. The study may be beneficial in flow and thermal control of polymeric processing.

**KEYWORDS**

PAPER SUBMITTED: 2015-03-25

PAPER REVISED: 2015-06-06

PAPER ACCEPTED: 2015-06-09

PUBLISHED ONLINE: 2015-07-03

**THERMAL SCIENCE** YEAR

**2017**, VOLUME

**21**, ISSUE

**5**, PAGES [2155 - 2166]

- Altan, T., et al., Metal forming fundamentals and applications, American Society of Metals., Metals Park, OH, 1979
- Fisher, E. G., Extrusion of plastics, Wiley., New York, 1976
- Tadmor, Z., Klein, I., Engineering principles of plasticating extrusion: Polymer Science and engineering series, Van Norstrand Reinhold., New York, 1970
- Singh, A., et al., Investigation on inward flow between two stationery parallel disks, Int. J. heat and fluid flow, 20 (1999), pp. 395-401
- Fang, T., et al., MHD and slip viscous flow over a stretching sheet, Comm. Nonlinear Sci. Numer. Simulat., 14 (2009), pp. 3731-3737
- Volkan, E. H., An approximate solution for flow between two disks rotating about distinct axes at different speeds, Math. Problems in Eng., (2007), pp. 1-16
- Ahmad, N., et al., Boundary layer flow and heat transfer past a stretching plate with variable thermal conductivity, Int. J. of non-linear Mech., 45 (2010), pp. 306-309
- Yoon, M S., et al., Flow and heat transfer over a rotating disk with surface roughness, Int. J. Heat and Fluid Flow, 28 (2007), pp. 262-267
- Robert A, et al., Analytical solutions of a coupled nonlinear system arising in a flow between stretching disks, Applied Mathematics and Computation, 216 (2010), pp. 1513-1523
- Fang, T., Zhang, J., Flow between two stretchable disks- An exact solution of the Navier-Stokes equations, International Communications in Heat and Mass Transfer, 35 (2008), pp. 892-895
- Munawar, S., et al., Effects of slip on flow between two stretchable disks using optimal homotopy analysis method, Canadian Journal of Applied Sciences, 1 (2011), pp. 50-68
- Turkyilmazoglu, M., MHD fluid flow and heat transfer due to a stretching rotating disk, Journal of Thermal Sciences, 51 (2012) pp. 195-201
- Turkyilmazoglu, M., Purely analytic solutions of magnetohydrodynamic swirling boundary layer flow over a porous rotating disk, Computers and Fluids, 39 (2010), pp. 793-799
- Attia, H. A., Steady flow over a rotating disk in porous medium with heat transfer, Nonlinear analysis: Modelling and Control, 14 (2009), pp. 21-26
- Xinhui, S., et al., Homotopy analysis method for the asymmetric laminar flow and heat transfer of viscous fluid between contracting rotating disks, Applied mathematical modeling, 36 (2012), pp. 1806-1820
- Hoyt, J. W., Fabula, A. G., The effect of additives on fluid friction, U. S. Naval Ordinance Test Station Report., 1964
- Eringen, A. C., Theory of Micropolar Fluids, Journal of Mathematics and Mechanics, 16 (1966), pp. 1-18
- Rashidi, M. M., et al., Analytic approximate solutions for heat transfer of a micropolar fluid through a porous medium with radiation, Communications in Nonlinear Science and Numerical Simulation, 16 (2011), pp. 1874-1889
- Hayat, T., Nawaz, M., Effect of heat transfer on magnetohydrodynamic axisymmetric flow between two stretching sheets, Zeitschrift für Naturforschung, 65a (2010), pp. 961-968
- Takhar, H. S., et al., Finite element solution of micropolar fluid flow and heat transfer between two porous discs, International Journal of Engineering Science, 38 (2000), pp. 1907-1922
- Takhar, H. S., et al., Finite element solution of micropolar fluid flow from an enclosed rotating disk with suction and injection, Journal of Engineering Science, 39 (2001), pp. 913-927
- Rashidi, M. M., Keimanesh, M., Using Differential Transform Method and Padé Approximant for Solving MHD Flow in a Laminar Liquid Film from a Horizontal Stretching Surface, Mathematical Problems in Engineering, doi:10.1155/2010/491319
- Rashidi, M. M., et al., Investigation of Entropy Generation in MHD and Slip Flow over a Rotating Porous Disk with Variable Properties, International Journal of Heat and Mass Transfer, 70 (2014), pp. 892-917
- Rashidi, M. M., Erfani, E., Analytical Method for Solving Steady MHD Convective and Slip Flow due to a Rotating Disk with Viscous Dissipation and Ohmic Heating, Engineering Computations, 29, (2012), pp. 562-579
- Shercliff, J. A., A text book of magnetohydrodynamics, Pergamon Press Oxford, 1965
- Hayat, T., et al., Axisymmetric magnetohydrodynamic flow of a micropolar fluid between unsteady stretching surfaces, Applied Mathematics and Mechanics, 32 (2011), pp. 361-374
- Devi, S. P. A., Devi, R. U., On hydromagnetic flow due to a rotating disk with radiation effects, Nonlinear Analysis: Mod. Cont., 16 (2011), pp. 17-29
- Ashraf, M., et al., Numerical investigations of asymmetric flow of a micropolar fluid between two porous disks, Acta Mechanica Sinica, 25 (2009), pp. 787-794
- Ashraf, M., et al., Numerical study of asymmetric laminar flow of micropolar fluids in a porous channel, Computers and Fluids 38 (2009), 1895-1902
- Ashraf, M., Batool, K., MHD flow of a micropolar fluid over a stretching disk, J. Theo. Appl. Mech., 51 (2013), 25-38
- Ali, K., et al., Numerical simulation of MHD micropolar fluid flow and heat transfer in a channel with shrinking walls, Canadian Journal of Physics, 9 (2014), pp. 987-996