Journal of Applied and Computational Mechanics

Slip Effects on Ohmic Dissipative Non-Newtonian Fluid Flow in the Presence of Aligned Magnetic Field

Document Type : Research Paper

Authors

1 Department of Mathematics, Erode Sengunthar Engineering College, Erode - 638 057, India

2 Department of Mathematics, Providence College for Women, Coonoor - 643 104, India

3 Department of Mathematics, Vivekananda College, Madurai - 625 234, India

4 Department of Mathematics, SRMV College of Arts and Science, Coimbatore - 641 020, India

Abstract

The present paper deals with the effects of Ohmic dissipative Casson fluid flow over a stretching sheet in the presence of aligned magnetic field. The present phenomenon also includes the interaction of thermal radiation and velocity slip. The governing boundary layer equations are transformed into a set of ordinary differential equations using the similarity transformations. The dimensionless velocity and temperature profiles are solved analytically using hypergeometric function and numerically by using fourth order Runge-Kutta method with shooting technique. It is noted that the increasing values of Eckert number increases the temperature profile and decreases the local Nusselt number.

Keywords

Main Subjects

[1] D. Picchi , A. Ullmann , N. Brauner, Modelling of core-annular and plug flows of Newtonian/non-Newtonian shear-thinning fluids in pipes and capillary tubes, Int. J. Multiphase Flow, 103 (2018) 43-60.
[2] D. Picchi , P. Poesio , A. Ullmann , N. Brauner, Characteristics of stratified flows of Newtonian/non-Newtonian shear-thinning fluids, Int. J. Multiphase Flow, 97 (2017) 109-133.
[3]B. Mahanthesh, B.J. Gireesha, Thermal Marangoni convection in two-phase flow of dusty Casson fluid, Res. Phys., 8 (2018) 537-544.
[4] S. V. Sailaja, B. Shanker, R. Raju, R. Srinivasa, Finite element analysis of magneto-hydrodynamic Casson fluid flow past a vertical plate with the impact of angle of inclination, J. Nanofluids, 7(2) (2018) 383-395.
[5] G. Kumaran, N. Sandeep, M.E. Ali, Computational analysis of magnetohydrodynamic Casson and Maxwell flows over a stretching sheet with cross diffusion, Res. Phys., 7 (2017) 147-155.
[6] M. Hamid, M. Usman, Z.H. Khan, R. Ahmad, W. Wang, Dual solutions and stability analysis of flow and heat transfer of Casson fluid over a stretching sheet, Phys. Lett. A, https://doi.org/10.1016/j.physleta.2019.04.050.
[7] I. Ullah, S. Shafie, I. Khan, Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium, J. King Saud Univ. Sci., 29(2) (2017) 250-259.
[8] S.M. Ibrahim, G. Lorenzini, P. Vijaya Kumar, C.S.K. Raju, Influence of chemical reaction and heat source on dissipative MHD mixed convection flow of a Casson nanofluid over a nonlinear permeable stretching sheet, Int. J. Heat Mass Transfer, 111 (2017) 346-355.
[9] G. Kumaran, N. Sandeep, Thermophoresis and Brownian moment effects on parabolic flow of MHD Casson and Williamson fluids with cross diffusion, J. Mol. Liq., 233 (2017) 262-269.
[10] A.K. Abdul Hakeem, P. Renuka, N. Vishnu Ganesh, R. Kalaivanan, B. Ganga, Influence of inclined Lorentz forces on boundary layer flow of Casson fluid over an impermeable stretching sheet with heat transfer, J. Magn. Magn. Mater., 401 (2016) 354-361.
[11] R. Kalaivanan, P. Renuka, N. Vishnu Ganesh, A.K. Abdul Hakeem, B. Ganga, S. Saranya, Effects of aligned magnetic field on slip flow of Casson fluid over a stretching sheet, Procedia Eng., 127 (2015) 531-538.
[12] M.H. Abolbashari, N. Freidoonimehr, F. Nazari, M. M. Rashidi, Analytical modeling of entropy generation for Casson nano-fluid flow induced by a stretching surface, Adv. Powder Technol., 26(2) (2015) 542-552.
[13] M.M. Rashidi, S. Bagheri, E. Momoniat, N. Freidoonimehr, Entropy analysis of convective MHD flow of third grade non-Newtonian fluid over a stretching sheet, Ain Shams Eng. J., 8(1) (2017) 77-85.
[14] O.D. Makinde, W.A. Khan, J.R. Culham, MHD variable viscosity reacting flow over a convectively heated plate in a porous medium with thermophoresis and radiative heat transfer, Int. J. Heat Mass Transfer, 93 (2016) 595-604.
[15] M. Kayalvizhi, R. Kalaivanan, N. Vishnu Ganesh, B. Ganga, A.K. Abdul Hakeem, Velocity slip effects on heat and mass fluxes of MHD viscous-Ohmic dissipative flow over a stretching sheet with thermal radiation, Ain Shams Eng. J., 7(2) (2016) 791-797.
[16] M. Sheikholeslami, D.D. Ganji, M. Younus Javed, R. Ellahi, Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two phase model, J. Magn. Magn. Mater., 374 (2015), 36-43.
[17] B. Ganga, S. Mohamed Yusuff Ansari, N. Vishnu Ganesh, A.K. Abdul Hakeem, MHD flow of Boungiorno model nanofluid over a vertical plate with internal heat generation/absorption, Propul Power Res., 5(3) (2016) 211-222.
[18] B.J. Gireesha, B. Mahanthesh, I.S. Shivakumara, K.M. Eshwarappa, Melting heat transfer in boundary layer stagnation-point flow of nanofluid toward a stretching sheet with induced magnetic field, Eng. Sci. Tech. Int. J., 19(1) (2016) 313-321.
[19] N. Sandeep, C. Sulochana, Dual solutions for unsteady mixed convection flow of MHD micropolar fluid over a stretching/shrinking sheet with non-uniform heat source/sink, Eng. Sci. Tech. Int. J., 18(4) (2015) 738-745.
[20] D. Pal, G. Mandal, Thermal radiation and MHD effects on boundary layer flow of micropolar nanofluid past a stretching sheet with non-uniform heat source/sink, Int. J. Mech. Sci., 126 (2017) 308-318.
[21] A.K. Abdul Hakeem, M.K. Nayak, O.D. Makinde, Effect of Exponentially Variable Viscosity and Permeability on Blasius Flow of Carreau Nano Fluid over an Electromagnetic Plate through a Porous Medium, J. Appl. Comput. Mech., 5(2) (2019) 390-401.
[22] C.S.K. Raju, N. Sandeep, A. Malvandi, Free convective heat and mass transfer of MHD non-Newtonian nanofluids over a cone in the presence of non-uniform heat source/sink, J. Mol. Liq., 221 (2016) 108-115.
[23] A.K. Abdul Hakeem, R. Kalaivanan, N. Vishnu Ganesh, B. Ganga, Effect of partial slip on hydromagnetic flow over a porous stretching sheet with non-uniform heat source/sink, thermal radiation and wall mass transfer, Ain Shams Eng. J., 5 (2014), 913-922.
[24] C. Veeresh, M.C. Raju, S.V.K. Varma, A.G. Vijaya Kumar, Effects of Thermal Diffusion and Radiation on Magnetohydrodynamic (MHD) Chemically Reacting Fluid Flow Past a Vertical Plate in a Slip Flow Regime, J. Appl. Comput. Mech., 5(2) (2019) 334-343.
[25] M. Turkyilmazoglu, Analytic heat and mass transfer of the mixed hydro-dynamic/ thermal slip MHD viscous flow over a stretching sheet, Int. J. Mech. Sci., 53 (2011), 886-896.
[26] A. Mishra, A.K. Pandey, M. Kumar, Ohmic-viscous dissipation and slip effects on nanofluid flow over a stretching cylinder with suction/injection, Nano Sci. Tech. Int. J., 9(2), (2018) 99–115.
[27] Q.H. Nguyen and N.D. Nguyen, Incompressible non-Newtonian fluid flows, Continuum Mechanics - Progress in Fundamentals and Engineering Applications, IntechOpen, DOI: 10.5772/26091, 47-72.
Journal of Applied and Computational Mechanics
Volume 6, Issue 2
April 2020
Pages 296-306