H. MONDAL, S. MİSHRA, P. K. KUNDU, P. SİBANDA

UNSTEADY MHD MICROPOLAR FLUID IN A STRETCHING SHEET OVER AN INCLINED PLATE WITH THE EFFECT OF NON-LINEAR THERMAL RADIATION AND SORET-DUFOUR

The effect of unsteady MHD flow of a micropolar fluid over an inclined plate with thermal radiation and non-uniform heat source/sink, non-linear thermal radiation, chemical reaction and convective boundary conditions has been investigated in the present study. A mathematical model is developed to set of Partial differential equations into non-linear coupled ordinary differential equations and then solved numerically by spectral relaxation method (SRM) with finite difference scheme which employs the Gauss-Seidel type of relaxation approach to linearize and decouple the system of differential equations and then Chebyshev pseudo-spectral method was used to solve the equations. The influence of various physical parameters are depicted graphically and analyzed in details. An excellent agreement of accuracy has found after comparing present work with previously published work.

Keywords:

Micropolar Fluid Thermal Radiation, Non-Uniform Heat Source/Sink, Magnetohydrodynamics, Thermophoresis,

PDF

___

[1] Pal, D., Chatterjee, S. (2010). Heat and mass transfer in MHD non-Darcian flow of a micropolar fluid over a stretching sheet embedded in a porous media with non-uniform heat source and thermal radiation. Communications in Nonlinear Science and Numerical Simulation, 15(7), 1843-1857.
[2] Pal D, Chatterjee S, (2012). MHD Non-Darcy Mixed Convection Stagnation-Point Flow of a Micropolar Fluid Towardsa Stretching Sheet with Radiation, ChemEnggComm, 199 865889.
[3] Bourne, D. E., Dixon, H. (1971). The cooling of fibres in the formation process. International Journal of Heat and Mass Transfer, 14(9), 1323-1332.
[4] Abo-Eldahab, E. M., El Aziz, M. A. (2005). Flow and heat transfer in a micropolar fluid past a stretching surface embedded in a non-Darcian porous medium with uniform free stream. Applied Mathematics and Computation, 162(2), 881-899.
[5] F.M. Hady, (1997). Heat transfer to a micropolar fluid from a non-isothermal stretching sheet, Int. J. Num. Meth. HeatFluid Flow 6) 6.
[6] Ahuja, A. S. (1975). Augmentation of heat transport in laminar flow of polystyrene suspensions. I. Experiments and results. Journal of Applied Physics, 46(8), 3408-3416.
[7] Zaimi, K., Ishak, A. (2014). Stagnation-point flow and heat transfer over a nonlinearly stretching/shrinking sheet in a micropolar fluid. In Abstract and Applied Analysis (Vol. 2014). Hindawi.
[8] El-Aziz, M. A. (2013). Mixed convection flow of a micropolar fluid from an unsteady stretching surface with viscous dissipation. Journal of the Egyptian Mathematical Society, 21(3), 385-394.
[9] Bhargava, R., Sharma, S., Takhar, H. S., Bég, O. A., Bhargava, P. (2007). Numerical solutions for micropolar transport phenomena over a nonlinear stretching sheet. Nonlinear Anal. Model. Control, 12(1), 45-63.
[10] Zeiser, T., Lammers, P., Klemm, E., Li, Y. W., Bernsdorf, J., Brenner, G. (2001). CFD-calculation of flow, dispersion and reaction in a catalyst filled tube by the lattice Boltzmann method. Chemical Engineering Science, 56(4), 1697-1704.
[11] Mahapatra, T. R., Nandy, S. K., Gupta, A. S. (2012). Oblique stagnation-point flow and heat transfer towards a shrinking sheet with thermal radiation. Meccanica, 47(6), 1325-1335.
[12] Singh, A. K. (2008). Heat source and radiation effects on magneto-convection flow of a viscoelastic fluid past a stretching sheet: Analysis with Kummer's functions. International Communications in Heat and Mass Transfer, 35(5), 637-642.
[13] Patil, P. M., Chamkha, A. J., Roy, S. (2012). Effects of chemical reaction on mixed convection flow of a polar fluid through a porous medium in the presence of internal heat generation. Meccanica, 47(2), 483-499.
[14] Poornima, T., Reddy, N. B. (2013). Radiation effects on MHD free convective boundary layer flow of nanofluids over a nonlinear stretching sheet. Advances in Applied Science Research, 4(2), 190-202.
[15] Pal, D., Mondal, H. (2010). Hydromagnetic non-Darcy flow and heat transfer over a stretching sheet in the presence of thermal radiation and Ohmic dissipation. Communications in Nonlinear Science and Numerical Simulation, 15(5), 1197-1209.
[16] Mahmoud, M. A. (2009). Thermal radiation effect on unsteady MHD free convection flow past a vertical plate with temperature‐dependent viscosity. The Canadian journal of chemical engineering, 87(1), 47-52.
[17] Chamkha, A. (2003). MHD flow of a uniformly stretched vertical permeable surface in the presence of heat generation/absorption and a chemical reaction.
[18] Chamkha, A. J. (2004). Unsteady MHD convective heat and mass transfer past a semi-infinite vertical permeable moving plate with heat absorption. International Journal of Engineering Science, 42(2), 217-230.
[19] Geridönmez, B. P. (2018). Numerical simulation of natural convection in a porous cavity filled with ferrofluid in presence of magnetic source.
[20] Kilic, M. (2018). Numerical investigation of heat transfer from a porous plate with transpiration cooling. Journal of Thermal Engineering, 4(1), 1632-1647.
[21] Pal, D., Mondal, H. (2013). Influence of thermophoresis and Soret–Dufour on magnetohydrodynamic heat and mass transfer over a non-isothermal wedge with thermal radiation and Ohmic dissipation. Journal of Magnetism and Magnetic Materials, 331, 250-255.

Başlangıç: 2015
Yayıncı: YILDIZ TEKNİK ÜNİVERSİTESİ

Arşiv