Abstract
An analysis has been carried out to study the effects of velocity, thermal and solutal slips on a magnetohydrodynamic, steady, and incompressible laminar boundary layer flow with heat and mass transfer over a radiating cone due to a point sink. The problem has been solved by using a semi-analytical method called DTM-Padé. Graphical representations are obtained for velocity, temperature, and concentration distributions for various values of the governing parameters like suction/injection parameter s, magnetic parameter M, velocity slip \(\mathscr {L}\), thermal slip \(\delta _1\), concentration slip \(\delta _2\), radiation parameter R, Prandtl number Pr, and Schimdt number Sc. Also, the numerical results obtained for skin-friction coefficient have been compared with the corresponding results available in the literature and a good conformity has been found in between them.
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Choi, S.H., Wilhelm, H.E.: Self-similar magnetohydrodynamic diffuser flows with induced magnetic fields. Phys. Fluids 20(11), 1821–1826 (1977)
Rosenhead, L.: Laminar Boundary Layers. Clarendon Press, Oxford, UK (1963)
Takhar, H.S., Surma Devi, C.D., Nath, G.: MHD flow with heat and mass transfer due to point sink. Indian J. Pure Appl. Math. 17(10), 1242–1247 (1986)
Eswara, A.T., Roy, S., Nath, G.: Unsteady MHD forced flow due to a point sink. Acta Mech. 145(1–4), 159–172 (2000)
Zhang, J., Fang, T., Zhong, Y.: Analytical solution of magnetohyrodynamic sink flow. Appl. Math. Mech. 32, 1221 (2011)
Guled, C.N., Singh, B.B.: Homotopy analysis of the radiation effect on MHD flow with heat and mass transfer due to a point sink. Adv. Math. Phys. Article ID 7036728, 14 (2016)
Andersson, H.I.: Slip flow past a stretching surface. Acta Mech. 158, 121–125 (2002)
Ariel, P.D., Hayat, T., Asghar, S.: The flow of an elastico-viscous fluid past a stretching sheet with partial slip. Acta Mech. 187, 29–35 (2006)
Abbas, Z., Wang, Y., Hayat, T., Oberlack, M.: Slip effects and heat transfer analysis in a viscous fluid over an oscillatory stretching sheet. Int. J. Numer. Methods Fluids 59, 443–458 (2009)
Mukhopadhyay, S., Gorla, R.S.R.: Effects of partial slip on boundary layer flow past a permeable exponential stretching sheet in presence of thermal radiation. Heat Mass Transf. 48, 1773–1781 (2012)
Turkyilmazoglu, M.: Exact multiple solutions for the slip flow and heat transfer in a converging channel. J. Heat Transf. 137, 101301–1 (2015)
Ibrahim, W., Shankar, B.: MHD boundary layer flow and heat transfer of a nanofluid past a permeable stretching sheet with velocity, thermal and solutal slip boundary conditions. Comput. Fluids 75, 1–10 (2013)
Laxmi, T.V., Shankar, B.: Radiative boundary layer flow and heat transfer of nanofluid over a nonlinear stretching sheet with slip conditions and suction. Jordan J. Mech. Ind. Eng. 10(4), 285–297 (2016)
Uddin, M.J., Bg, O.A., Uddin, M.N.: Multiple slip and variable transport property effects on magneto-hydromagnetic dissipative thermo-solutal convection in porous media. ASCE J. Aerosp. Eng. 29(5) (2016). https://doi.org/10.1061/(ASCE)AS.1943-5525.0000614
Sparrow, E.M., Cess, R.D.: Radiation Heat Transfer. Brooks Cole Publishing Company, Belmont, California (1970)
Vafai, K., Hadim, H.A., Howell, J.R.: Radiative transfer in porous media. In: Handbook of Porous Media. CRC Press, New York (2000)
Sedeek, M.A., Salem, A.M.: Laminar mixed convection adjacent to vertical continuously stretching sheet with variable viscosity and variable thermal diffusivity. Heat Mass Transf. 41(12), 1048–1055 (2005)
Mukhopadhyay, S.: Effects of radiation and variable fluid viscosity on flow and heat transfer along a symmetric wedge. J. Appl. Fluid Mech. 2(2), 29–34 (2009)
Vyas, P., Rai, A.: Radiative variable fluid properties flow due to a point sink inside a cone filled with porous medium. Appl. Math. Sci. 6(87), 4307–4317 (2012)
Zhou, J.K.: Differential Transformation and Its Applications for Electric Circuits. Huazhong University Press, Wuhan, China (1986)
Chen, C.K., Ho, S.H.: Solving partial differential equations by two dimensional differential transform method. Appl. Math. Comput. 106, 171–179 (1999)
Ayaz, F.: Solution of the system of differential equations by differential transform method. Appl. Math. Comput. 147(2), 547–567 (2004)
Darania, P., Ebadian, A.: A method for the numerical solution of the integro-differential equations. Appl. Math. Comput. 188(1), 657–668 (2007)
Rashidi, M.M.: The modified differential transform method for solving MHD boundary layer equations. Comput. Phys. Commun. 180, 2210–2217 (2009)
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Shaikh, N.B., Singh, B.B., Sayyed, S.R. (2019). MHD Flow with Heat and Mass Transfer Over a Radiating Cone Due to a Point Sink in Presence of Partial and Solutal Slips. In: Iyer, B., Nalbalwar, S., Pathak, N. (eds) Computing, Communication and Signal Processing . Advances in Intelligent Systems and Computing, vol 810. Springer, Singapore. https://doi.org/10.1007/978-981-13-1513-8_60
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DOI: https://doi.org/10.1007/978-981-13-1513-8_60
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