Analysis of Effect of Inclined Magnetic Field on MHD Boundary Layer Flow over a Porous Exponentially Stretching Sheet Subject to Thermal Radiation
Asian Research Journal of Mathematics,
Page 20-33
DOI:
10.9734/arjom/2021/v17i930328
Abstract
MHD flow has a wide range of industrial applications such as MHD propulsion for space exploration, cooling of nuclear reactors, electronic packages, microelectronic devices, and many more. Due to this, a study on the MHD boundary layer flow of a viscous incompressible fluid over an exponentially stretching sheet with an inclined magnetic field in presence of thermal radiation is analyzed. The continuity, momentum, and energy equations governing the fluid motion are obtained. They are then transformed into a system of nonlinear ordinary differential equations using suitable similarity transformation variables. The resulting nonlinear ordinary differential equations are then transformed to a system of first-order ordinary differential equations and the numerical solution is executed using the collocation method. The effects of the magnetic field, angle of inclination, radiation, Prandtl number, and the exponential stretching of the sheet on the velocity and temperature of the fluid are discussed. It is observed that velocity increases as the sheet is stretched and decreases as the magnetic field and angle of inclination of the magnetic field increases. Temperature increases as magnetic field, angle of inclination, and radiation increase and lowers as the stretching and stratification parameter of the sheet and Prandtl number increases. The findings of this study are in agreement with other previously related work done.
Keywords:
- Inclined magnetic field
- hydrodynamic boundary layer flow
How to Cite
References
DOI: 10.1016/J.JKSUS.2016.05.003.
Sharma K, Gupta S. Analytical study of MHD boundary layer flow and heat transfer towards a porous exponentially stretching sheet in presence of thermal radiation. Int. J. Adv. Appl. Math. Mech. 2016;4(1): 2347–2529.
Jha BK, Aina B. Effect of induced magnetic field on MHD mixed convection flow in vertical microchannel. Int. J. Appl. Mech. Eng. Aug. 2017;22(3):567–582.
DOI: 10.1515/IJAME-2017-0036.
Idowu AS, Falodun BO. Influence of magnetic field and thermal radiation on steady free convective flow in a porous medium. Niger. J. Technol. Dev. Aug. 2018;15(3):84.
DOI: 10.4314/njtd.v15i3.3.
Pandey AK, Kumar M. Natural convection and thermal radiation influence on nanofluid flow over a stretching cylinder in a porous medium with viscous dissipation. Alexandria Eng. J. Mar. 2017;56(1):55–62.
DOI: 10.1016/j.aej.2016.08.035
Haroun NAH, Mondal S, Sibanda P. Effects of thermal radiation on mixed convection in a MHD nanofluid flow over a stretching sheet using a spectral relaxation method. Int. J. Math. Comput. Sci. 2017;11(2):52–61.
Chandra Babu SRR, Venkateswarlu S, Lakshmi KJ. Effect of variable viscosity and thermal conductivity on heat and mass transfer flow of nanofluid over a vertical cone with chemical reaction. Int. J. Appl. Eng. Res. 2018;13:13989–14002.
Jha BK, Isah BY, Uwanta IJ. Combined effect of suction/injection on MHD free-convection flow in a vertical channel with thermal radiation. Ain Shams Eng. J. Dec. 2018;9(4):1069–1088.
DOI: 10.1016/j.asej.2016.06.001.
Chaudhary S, Kanika KM, Choudhary MK. Newtonian heating and convective boundary condition on MHD stagnation point flow past a stretching sheet with viscous dissipation and Joule heating; 2018.
Javanmard M, Taheri MH, Ebrahimi SM. Heat transfer of third-grade fluid flow in a pipe under an externally applied magnetic field with convection on wall. Appl. Rheol. 2018;28(5):1–11.
DOI: 10.3933/ApplRheol-28-56023.
Khan D, Khan A, Khan I, Ali F, Karim F, Tlili I. Effects of relative magnetic field , chemical reaction , heat generation and newtonian heating on convection flow of casson fluid over a moving vertical plate embedded in a porous medium. Sci. Rep. 2019;9(400):1–18.
DOI: 10.1038/s41598-018-36243-0.
Jagadha S, Amrutha P. MHD boundary layer flow of darcy-forchheimer mixed convection in a nanofluid saturated porous media with viscous dissipation. Appl. Appl. Math. 2019;4(4):117–134.
Ibrahim W, Tulu A. Magnetohydrodynamic (MHD) Boundary Layer Flow Past a Wedge with Heat Transfer and Viscous Effects of Nanofluid Embedded in Porous Media. Math. Probl. Eng. 2019; 4507852:1–12.
DOI: 10.1155/2019/4507852.
AOA., A. L.O., A. S.F., O. A.W. Effect of magnetic fields on the boundary layer flow of heat transfer with variable viscosity in the presence of thermal radiation. Int. J. Sci. Res. Publ. 2019;9(5):p8904.
DOI: 10.29322/ijsrp.9.05.2019.p8904.
Yasin SHM, Mohamed MKA, Ismail Z, Widodo B, Salleh MZ. MHD flow and heat transfer of ferrofluid on stagnation point along flat plate with convective boundary condition and thermal radiation effect. J. Phys. Conf. Ser. 2019;1366(1).
DOI: 10.1088/1742-6596/1366/1/012008.
Gangadhar K, Vijaya Kumar D, Venkata Subba Rao M, Kannan T, Sakthivel G. Effects of Newtonian heating on the boundary layer flow of non-Newtonian magnetohydrodynamic nanofluid over a stretched plate using spectral relaxation method. Int. J. Ambient Energy; 2019.
DOI: 10.1080/01430750.2019.1694585.
Taheri MH. The influence of magnetic field on the fluid flow in the entrance region of channels: analytical/numerical solution. SN Appl. Sci. Oct. 2019;1(10).
DOI: 10.1007/S42452-019-1244-3.
Kumar D, Singh AK, Kumar D. Influence of heat source/sink on MHD flow between vertical alternate conducting walls with Hall effect. Phys. A Stat. Mech. its Appl. Apr. 2020;544.
DOI: 10.1016/J.PHYSA.2019.123562.
Jha BK, Samaila G. Thermal radiation effect on boundary layer over a flat plate having convective surface boundary condition. SN Appl. Sci. 2020;23(2)3:1–8, Feb. 2020.
DOI: 10.1007/S42452-020-2167-8.
Gangadhar K, Vijayakumar D, Chamkha AJ, Kannan T, Sakthivel G. Effects of Newtonian heating and thermal radiation on micropolar ferrofluid flow past a stretching surface: Spectral quasi-linearization method. Heat Transf. - Asian Res. 2019;49(2):838–857.
DOI: 10.1002/HTJ.21641.
Afify AA, Elgazery NS. Impacts of Newtonian heating, variable fluid properties and Cattaneo–Christov model on MHD stagnation point flow of Walters’ B fluid induced by stretching surface. Int. J. Mod. Phys. C. Aug. 2020;31(9):2050125.
DOI: 10.1142/S0129183120501259.
-
Abstract View: 378 times
PDF Download: 134 times
