HEAT AND MASS TRANSFER IN MHD MICROPOLAR FLUID FLOW OVER A STRETCHING SHEET WITH THERMAL CONDUCTIVITY UNDER THE IMPACT OF HEAT SOURCE AND CHEMICAL REACTION
DOI:
https://doi.org/10.55766/sujst8927Keywords:
Hear source, MHD, Micropolar fluid, Radiation parameter, Thermal ConductivityAbstract
This study explores heat and mass transfer in magnetohydrodynamic (MHD) micropolar fluid flow over a stretching sheet. The analysis incorporates the effects of thermal conductivity under the impact of heat source and chemical reaction, radiation and thermophoresis to evaluate their influence on the system comprehensively. It is anticipated that the surface temperature will fluctuate by power law. The mass, energy, angular momentum, and concentration conservation equations are in effect. The governing nonlinear partial differential equations (PDEs) are transformed using the similarity transformation technique into nonlinear coupled ordinary differential equations (ODEs) set. The subsequently linked nonlinear ordinary differential equations are numerically solved using the shooting technique and the approach of the fourth-order R-K technique. Symbolic computational software such as MATLAB, the solver bvp4c syntax examines the behavior of the relevant physical parameters. A graphic illustration of the results of variant dimensionless parameters on the rate, temperature, and concentration supports the present study. Additionally, according to the numerical impacts, the thermal boundary thickness rises with increasing thermal conductivity parameters and decreases with increasing radiation parameters. Again, it is noticed that the Nusselt and Sherwood rise and fall as they grow. Furthermore, increasing the mass suction parameter and Prandtl number reduces the fluid temperature in both solutions. The radiation parameter and the surface temperature parameter have the impact of increasing the value of the Nusselt number. In contrast, the thermal conductivity parameter has the opposite effect on the Nusselt number.
References
Ahmadi, G. (1976). Self-similar solution of incompressible micropolar boundary layer flow over a semi-infinite plate. International Journal of Engineering Science, 14(7):639–646. https://doi.org/10.1016/0020-7225(76)90006-9
Batchelor, G.K. and Shen, C. (1985). Thermophoretic deposition of particles in gas flowing over a cold surface. Journal of Colloid and Interface Science, 107(1):21–37. https://doi.org/10.1016/0021-9797(85)90145-6
Brewster, M.Q. (1992). Thermal Radiative Transfer and Properties. Wiley, New York, 568p.
Chen, J., Liang, C., and Lee, J.D. (2011). Theory and simulation of micropolar fluid dynamics. Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanoengineering and Nanosystems, 224(1-2):31–40. https://doi.org/10.1177/1740349911400132
Damseh, R.A., Al-Odat, M.Q., Chamkha, A.J., and Shannak, B.A. (2009). Combined effect of heat generation/absorption and first-order chemical reaction on micropolar fluid flows over a uniformly stretched permeable surface. International Journal of Thermal Sciences, 48(9):1658–1663. https://doi.org/10.1016/j.ijthermalsci.2008.12.018
Eringen, A.C. (1967). Theory of micropolar fluids. Indiana University Mathematics Journal, 16(1):1–18. https://doi.org/10.1512/iumj.1967.16.16001
Eringen, A.C. (1972). Theory of thermo-microfluids. Journal of Mathematical Analysis and Applications, 38(2):480–496. https://doi.org/10.1016/0022-247X(72)90106-0
Hayat, T., Mustafa, M., and Obaidat, S. (2011). Soret and Dufour effects on the stagnation-point flow of a micropolar fluid toward a stretching sheet. Journal of Fluids Engineering (ASME), 133(2):021202. https://doi.org/10.1115/1.4003505
Hoyt, J.W. and Fabula, A.G. (1964). The effects of additives on fluid friction. U.S. Naval Ordnance Test Station Report.
Jena, S.K. and Mathur, M.N. (1981). Similarity solutions for laminar free-convection flow of a thermo-micropolar fluid past a non-isothermal vertical flat plate. International Journal of Engineering Science, 19(11):1431–1439. https://doi.org/10.1016/0020-7225(81)90040-9
Łukaszewicz, G. (1999). Micropolar Fluids: Theory and Applications. 1st ed. Birkhäuser, Boston, 252p. https://doi.org/10.1007/978-1-4612-0641-5
Mills, A.F., Hang, X., and Ayazi, F. (1984). The effect of wall suction and thermophoresis on aerosol-particle deposition from a laminar boundary layer on a flat plate. International Journal of Heat and Mass Transfer, 27(7):1110–1114. https://doi.org/10.1016/0017-9310(84)90127-3
Postelnicu, A. (2012). Thermophoresis particle deposition in natural convection over inclined surfaces in porous media. International Journal of Heat and Mass Transfer, 55(7–8):2087–2094. https://doi.org/10.1016/j.ijheatmasstransfer.2011.12.011
Rahman, M.M. (2009). Convective flows of micropolar fluids from radiate isothermal porous surface with viscous dissipation and Joule heating. Communications in Nonlinear Science and Numerical Simulation, 14(7):3018–3030. https://doi.org/10.1016/j.cnsns.2008.11.010
Ramanuja, M., Kavitha, J., Sudhakara, M., and Naga Radhika, L. (2023). Study of MHD SWCNT-blood nanofluid flow in presence of viscous dissipation and radiation effects through porous medium. Journal of the Nigerian Society of Physical Sciences, 5(1):1054. https://doi.org/10.46481/jnsps.2023.1054
Ramanuja, M., Krishna, G.G., Sree, H.K., and Mishra, S.R. (2022). Characteristics of Newtonian heating on electrically conducting water-based nano-fluid with in permeable vertical micro-channels. Journal of Mathematical and Computational Science, 12:38.
Shi, Q.H., Shabbir, T., Mushtaq, M., Khan, M.I., Shah, Z., and Kumam, P. (2021). Modelling and numerical computation for flow of micropolar fluid towards an exponential curved surface: A Keller box method. Scientific Reports, 11:16351. https://doi.org/10.1038/s41598-021-95859-x
Talbot, L., Cheng, R.K., Schefer, R.W., and Willis, D.R. (1980). Thermophoresis of particles in a heated boundary layer. Journal of Fluid Mechanics, 101(4):737–758. https://doi.org/10.1017/S0022112080001905
Vogel, W.A. and Patterson, A.M. (1964). An experimental investigation of additives injected into the boundary layer of an underwater body. Pacific Naval Laboratory, Defence Research Board of Canada, Report.
