Aligned magnetic field on dusty Casson fluid over a stretching sheet with Newtonian heating
DOI:
https://doi.org/10.11113/mjfas.v13n3.592Keywords:
Aligned magnetic field, Two-phase flow, Casson fluid, Stretching sheet, Newtonian HeatingAbstract
Boundary layer flow and heat transfer on Casson fluid with dust particle over a stretching sheet is numerically investigated. The influences of aligned magnetic field together with Newtonian heating are considered in this problem. The governing equations are first transformed into ordinary differential equations using the appropriate similarity transformation variables. The numerical computation using Runge-Kutta Fehlberg (RKF45) method is employed to generate the results. Several physical parameters for both phases (fluid and particle) such as aligned angle, magnetic field parameter, Casson parameter, fluid particle interaction parameter, Prandtl number and conjugate parameter are investigated and analysed. The results in term of distribution velocity and temperature are presented graphically. The finding revealed that a rise in aligned angle and magnetic field parameter led to decrease the velocity profile and increase the temperature profile for both phases.
References
Andersson, H., Bech, K., and Dandapat, B. (1992). Magnetohydrodynamic flow of a power-law fluid over a stretching sheet. International Journal of Non-Linear Mechanics, 27(6), 929-936.
Aurangzaib, K. A., Mohammad, N., and Sharidan, S. (2013). Unsteady MHD mixed convection flow with heat and mass transfer over a vertical plate in a micropolar fluid-saturated porous medium. Journal of Applied Science and Engineering, 16(2), 141-150.
Chakrabarti, K. (1974). Note on boundary layer in a dusty gas. AIAA Journal, 12(8), 1136-1137.
Datta, N., and Mishra, S. (1982). Boundary layer flow of a dusty fluid over a semi-infinite flat plate. Acta Mechanica, 42(1), 71-83.
Hakeem, A. A., Renuka, P., Ganesh, N. V., Kalaivanan, R., and
Ganga, B. (2016). Influence of inclined Lorentz forces on boundary layer flow of Casson fluid over an impermeable stretching sheet with heat transfer. Journal of Magnetism and Magnetic Materials, 401, 354-361.
Isa, S. M., Ali, A., and Shafie, S. (2016). Stagnation point flow of MHD dusty fluid toward stretching sheet with convective surface. Jurnal Teknologi, 78 (3-2), 95-100.
Kalaivanan, R., Renuka, P., Ganesh, N. V., Hakeem, A. K. A., Ganga, B., and Saranya, S. (2015). Effects of Aligned Magnetic Field on Slip Flow of Casson Fluid over a Stretching Sheet. Procedia Engineering, 127, 531-538.
Mukhopadhyay, S., De, P. R., Bhattacharyya, K., and Layek, G. (2013). Casson fluid flow over an unsteady stretching surface. Ain Shams Engineering Journal, 4(4), 933-938.
Arifin, N. S., Zokri, S., Kasim, A. R. M., Salleh, M. Z., and Mohammad, N. F. (2016). Numerical Solutions of the Aligned Magnetic Field on the Boundary Layer Flow and Heat Transfer over a Stretching Sheet by using Keller-box Method. The National Conference for Postgraduate Research 2016, 266-274.
Ramesh, G. K., Gireesha, B. J., and Gorla, R. S. R. (2015). Boundary layer flow past a stretching sheet with fluid-particle suspension and convective boundary condition. Heat and Mass Transfer, 51(8), 1061-1066.
Saffman, P.G. (1962). On the stability of laminar flow of a dusty gas. Journal of fluid mechanics, 13(1), 120-128.
Salleh, M., Nazar, R., and Pop, I. (2010). Boundary layer flow and heat transfer over a stretching sheet with Newtonian heating. Journal of the Taiwan Institute of Chemical Engineers, 41(6), 651-655.
Sandeep, N., Sulochana, C., and Kumar, B. R. (2015). Flow and heat transfer in MHD dusty nanofluid past a stretching/shrinking surface with non-uniform heat source/sink. Walailak Journal of Science and Technology (WJST), 14(2), 117-140.
Siddiqa, S., Hossain, M. A., and Saha, S. C. (2015). Two-phase natural convection flow of a dusty fluid. International Journal of Numerical Methods for Heat & Fluid Flow, 25(7), 1542-1556.
Vajravelu, K., Prasad, K. V., and Datti, P. S. (2013). Hydromagnetic fluid flow and heat transfer at a stretching sheet with fluid-particle suspension and variable fluid properties. Journal of Fluids Engineering, 135(1), 011101.
