Magnetohydrodynamics (MHD) Stagnation Point Flow on a Stretching Sheet with Fluid Rotation and Heat Generation

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Published: 2023-07-17

Page: 274-284


A. S. Wunuji *

Department of Mathematics and Statistics, Federal University Wukari, Taraba State, Nigeria.

A. Yusuf

Department of Applied Mathematics, Federal University of Technology, Minna, Niger State, Nigeria.

Micheal, B. S.

Department of Mathematics and Statistics, Federal University Wukari, Taraba State, Nigeria.

Y. M. Aiyesimi

Department of Applied Mathematics, Federal University of Technology, Minna, Niger State, Nigeria.

*Author to whom correspondence should be addressed.


Abstract

In this paper, the problem of Magnetohydrodynamic stagnation point flow over a stretching sheet with fluid rotation and heat generation was considered and presented. The Partial differential equations were transformed using similarity variables to set of transformed, ordinary nonlinear coupled differential equations. The approximate solutions were presented using the Adomian decomposition method. However, the results presented were validated with the literature and a good agreement was observed.  The effects of various dimensionless parameters like rotational parameter, thermal Grashof number, concentration Grashof number, Prandtl number, heat generation, Schimidt number, stretching parameter and suction/injection parameter that appeared were graphically presented. Meanwhile, the boundary was found to enhance the velocity profile because of buoyancy effect and it dropped in the other profile because of drag force. Conclusively, the graphs presented in this work clearly satisfy the boundary conditions, which imply that the problem is well posed and the point of stretching. α = 0.6

Keywords: Fluid rotation, stagnation point flow, magnetohydrodynamics, stretching sheet, adomian decomposition method (ADM)


How to Cite

Wunuji , A. S., Yusuf , A., B. S. , M., & Aiyesimi , Y. M. (2023). Magnetohydrodynamics (MHD) Stagnation Point Flow on a Stretching Sheet with Fluid Rotation and Heat Generation. Asian Journal of Pure and Applied Mathematics, 5(1), 274–284. Retrieved from https://globalpresshub.com/index.php/AJPAM/article/view/1833

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References

Carrier GF, Greenspan HP. The time-dependent magnetohydrodynamic flow past a flat plate. J Fluid Mech. 1960;7(1):22-32.

Gupta AS. Steady and transient free convection of an electrically conducting fluid from a vertical plate in the presence of a magnetic field. Appl Sci Res. 1960;9(1):319-33.

Pop I, Angew Z. Unsteady hydromagnetic free convection flow from a vertical infinite flat plate. Zeitschrift f ¨ur Angewandte Mathematik und Mechanik, Math Mech. 1969;49(12):756-7.

Tokis JN. Unsteady magnetohydrodynamic free-convection flows in a rotating fluid. Astrophys Space Sci. 1986;119(2):305-13.

Ghosh SK. Unsteady hydromagnetic flow in a rotating channel with oscillating pressure gradient. J Phys Soc Jpn. 1993;62(11):3893-903.

Abd-El Aziz M. Thermal radiation effects on magnetohydrodynamic mixed convection flow of a micropolar fluid past a continuously moving semi-infinite plate for high temperature differences. Acta Mec. 2006;187(1-4):113-27.

Ogulu A, Prakash J. Heat transfer to unsteady magneto-hydrodynamic flow past an infinite moving vertical plate with variable suction. Phys Scr. 2006;74(2):232-9.

Prasad R, Reddy B, Muthucumaraswamy R. Transient radiative hydromagnetic free convection flow past an impulsively started vertical plate with uniform heat and mass flux. Theor Appl Mech (Belgr). 2006;33(1):31-63.

Jordán JZ. Network simulation method applied to radiation and viscous dissipation effects on MHD unsteady free convection over vertical porous plate. Appl Math Modell. 2007;31(9):2019-33.

Chamkha AJ. Unsteady hydromagnetic natural convection in a fluid-saturated porous medium channel. Adv Filtr Sep Technol. 1996;10:369-75.

Chamkha AJ. Unsteady laminar hydromagnetic flow and heat transfer in porous channels with temperature-dependent properties. Int J Numer Methods Heat Fluid Flow. 2001;11(5):430-48.

Beg OA, Takhar HS, Singh AK. Multiparameter perturbation analysis of unsteady oscillatory magnetoconvection in porous media with heat source effects. Int J Fluid Mech Res. 2005;32(6):635-61.

Chaudhary RC, Abhay KJ. Effect of chemical reaction on MHD micropolar fluid flow past a vertical plate in slip-flow regime. Appl Math Mech. 2008;29(9):117-1194.

Shahmohamadi H, Rashidi MM. VIM solution of squeezing MHD nanofluid flow in a rotating channel with lower stretching porous surface. Adv Powder Technol. 2016;27(1):171-8.

Mishra SR, Bhatti MM. Simultaneous effects of chemical reaction and Ohmic heating with heat and mass transfer over a stretching surface: a numerical study. Chin J Chem Eng. 2017;4(2):451-761.

Rashidi MM, Rostami B, Freidoonimehr N, Abbasbandy S. Free convective heat and mass transfer for MHD fluid flow over a permeable vertical stretching sheet in the presence of the radiation and buoyancy effects. Ain Shams Eng J. 2014;5(3):901-12.

Sheikholeslami M, Bhatti MM. Active method for nanofluid heat transfer enhancement by means of EHD. Int J Heat Mass Transf. 2017;109:115-22.

Abbas T, Bhatti MM, Ayub M. Aiding and opposing of mixed convection Casson nanofluid flow with chemical reactions through a porous Riga plate. J Process Mech Eng. 2017;19(3):45-95.

Bhatti MM, Rashidi MM. Effects of thermo-diffusion and thermal radiation on Williamson nanofluid over a porous shrinking/stretching sheet. J Mol Liq. 2016;221(1):567-73.

Bhatti MM, Ali Abbas M, Rashidi MM. A robust method for solving stagnation point flow over a permeable shrinking sheet under the influence of MHD. Appl Math Comput. 2018;3(6):381-9.

Wang CY. Stagnation flow towards a shrinking sheet. Int J Non Linear Mech. 2008;43(5):377-82.

Singer RM. Transient magnetohydrodynamic flow and heat transfer. Z Angew Math Mech. 1965;16(4):483-94.