Time-Dependent Hydromagnetic Boundary Layer Flow across a Porous Vertical Surface with Internal Heat Generation

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The time-dependent hydromagnetic boundary layer flow across a vertical surface with internal heat regeneration in porous media is investigated. The flow problem has been modelled mathematically in partial differential equations along with appropriate defined boundary conditions. These equations were expressed in dimensionless form using suitable similarity variables. The resulting dimensionless equations along with the conditions defined at the boundaries are solved by means of the Laplace transform methods. Results of the study are graphically illustrated for various quantities of practical importance. It was concluded that time positively influence the flow as a reduced skin friction coefficient was observed. Furthermore, the magnetic parameter, the radiation parameter, the heat absorption parameter and the permeability of the porous media can be used to influence the characteristics of a flow in porous media.

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17-38

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May 2021

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© 2021 Trans Tech Publications Ltd. All Rights Reserved

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[1] R.C. Chaudhary and P. Jain, Unsteady free convection boundary layer flow past an impulsively started vertical surface with Newtonian heating, Rom. J. Phys., 51 (9-10), (2006), 911-925.

DOI: 10.1007/s10891-007-0127-4

Google Scholar

[2] A.S. Gupta, I. Pop, and V.G. Soundalgekar, Free convection flow past a linearly accelerated vertical plate on the presence of viscous dissipation heat, Rev. Roum. Sci. Techn. Mec Apl. 24 (1979) 561-568.

DOI: 10.1515/9783112649923-006

Google Scholar

[3] N.G. Kafousias, and A.A. Raptis, Mass transfer effects subject to variable suction or injection, Rev. Roum. Sci. Techn. Mec. Apl. 26, (1981) 11-22.

Google Scholar

[4] D. Lesnic, D. B. Ingham and I. Pop, Free convection boundary layer flow along a vertical surface in a porous medium with Newtonian heating, Int. J. Heat Mass Transfer, 42, (1999). 2621-2627.

DOI: 10.1016/s0017-9310(98)00251-8

Google Scholar

[5] F. Constantin, I. K. Samiulhaq, A. Fard and S. Sharidan, Radiation and Porosity Effects on the Magnetohydrodynamic Flow Past an Oscillating Vertical Plate with Uniform Heat Flux, Z. Naturforsch. 67a, 572 – 580 (2012) /.

DOI: 10.5560/zna.2012-0070

Google Scholar

[6] R. Muthucumaraswamy and S. Janakiraman, Mass transfer effects on exponentially accelerated isothermal vertical plate. Theoret. Aple. Mech. 33(1), (2006) 17-29.

DOI: 10.2298/tam0601017m

Google Scholar

[7] P.A.R. Bala, N.R. Bhaskar, and S. Suneetha, Effects on MHD flow past an exponentially accelerated isothermal vertical plate embedded in porous medium in the presence of heat source and chemical reaction, J. Applied Fluid Mechanics, 5(3) (2012) 119-126.

DOI: 10.36884/jafm.5.03.19454

Google Scholar

[8] B.R. Rout and H.B. Pattanayak, Chemical reaction and radiation effect on MHD flow past an exponentially accelerated vertical plate in the presence of heat source with variable temperature embedded in a porous medium, Mathematical theory and Modeling 3(8), (2013) 18-25.

DOI: 10.1016/j.matpr.2020.11.919

Google Scholar

[9] Y.I. Seini, Flow over unsteady stretching surface with chemical reaction and non-uniform heat source. J. Eng. Manu. Technol. 1 (2013) 24-35.

Google Scholar

[10] Y.I. Seini and O.D. Makinde (2013). MHD Boundary Layer Flow due to Exponential Stretching Surface with Radiation and Chemical Reaction, Mathematical Problems in Engineering, (2013) 1- 7.

DOI: 10.1155/2013/163614

Google Scholar

[11] I.Y. Seini, G. Aloliga, B. Ziblim, O.D. Makinde, Boundary Layer Flow of Casson Fluid on Exponentially Stretching Porous Surface with Radiative Heat Transfer. Diffusion Foundations 26, (2020) 112-125.

DOI: 10.4028/www.scientific.net/df.26.112

Google Scholar

[12] C.J. Etwire, I.Y. Seini, M. Rabiu, O.D. Makinde, Impact of thermophoretic transport of Al2O3 nanoparticles on viscoelastic flow of oil-based nanofluid over a porous exponentially stretching surface with activation energy. Engineering Transactions 67(3) (2019) 387–410.

Google Scholar

[13] I.Y. Seini, Heat and mass transfer from a convectively heated vertical surface with chemical reaction and internal heat generation . Engineering Transactions 67(1) (2019) 101–118.

Google Scholar

[14] M. Ali, M.D. Abdul Alim and S.A. Mohammed, Heat transfer boundary layer flow past an inclined stretching sheet in the presence of magnetic field, Int. J. of Advancements in Research & Technology, 3(5) (2014), 34-40.

Google Scholar

[15] A.J. Chamkha, M.C. Raju, R.T. Sudhakar and S.V.K. Varma, Unsteady MHD free convection flow past an exponentially accelerated vertical plate with mass transfer, chemical and thermal radiation, Int. J. of Microscale and Nanoscale thermal 5(1) (2016) 57-75.

DOI: 10.1108/hff-05-2014-0123

Google Scholar

[16] E.M. Arthur T. Ayando and Y.I. Seini, MHD convective boundary layer flow towards a vertical surface in a porous medium with radiation, chemical reaction and internal heat generation, Frontiers in Heat and Mass Transfer (FHMT),6(21) (2015) 1-10.

DOI: 10.5098/hmt.6.21

Google Scholar

[17] A. Hussanan, M.Z. Salleh, I. Khan, and R.M. Tahar, Unsteady boundary layer flow and heat transfer of a Casson fluid past an oscillating vertical plate with Newtonian heating, Plos One,9(10), e108763. (2014).

DOI: 10.1371/journal.pone.0108763

Google Scholar

[18] A. Hussanan, M.Z. Salleh, I. Khan, R.M. Tahar and Z. Ismail, Soret effects on unsteady MHD mixed convective heat and mass transfer flow in a porous medium with Newtonian heating. Maejo Int. J. Sci. and Tech, 9(02) (2015) 224-245.

DOI: 10.2298/tsci131119142a

Google Scholar

[19] M. Sulemana, I.Y. Seini and M.I. Daabo, Unsteady boundary layer flow past a vertical plate in the presence of transverse magnetic field and heat source embedded in a porous medium, J. Math and Comp. Sci., 7(3) (2017) 564-582.

Google Scholar

[20] M. Sulemana, I.Y. Seini, and M.I. Daabo, Unsteady hydromagnetic convective heat and mass transfer flow past an impulsively started infinite vertical surface with Newtonian heating in a porous medium, J. Eng. and Applied Sci. 12(1) (2017) 5767-5776.

DOI: 10.36884/jafm.4.04.11951

Google Scholar