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Magnetohydrodynamic mixed convective flow of an upper convected Maxwell fluid through variably permeable dilating channel with Soret effect

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Abstract

The effects of Soret and variable porosity on an unsteady magnetohydrodynamic flow of an upper convected Maxwell fluid through an expanding or contracting channel are explored in this article. The temperature and concentration at the walls are maintained at different values. The gravitational forces arising from temperature and concentration gradients are also considered. The behaviour of velocity components, skin friction, temperature and concentration with respect to various non-dimensional parameters has been numerically computed by using an efficient shooting method. Newtonian case has been studied using the current algorithm and the present results are compared with earlier literature. At the boundaries, the heat and mass transfer rates are studied using local Nusselt and Sherwood numbers. The results show that both the variable permeability and wall expansion have dominant effects on skin friction at the plates. The Prandtl and Soret numbers have dominating effect on mass transfer when compared with variable permeable parameter.

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Acknowledgements

The authors are thankful to the Vice Chancellor of Defence Institute of Advanced Technology (Deemed University) for his support in the current research. One of the authors (KPK) is grateful to the University Grants Commission, Government of India for providing Senior Research Fellowship (F.2-18 / 2012(SA-I)).

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Authors and Affiliations

  1. Department of Applied Mathematics, Defence Institute of Advanced Technology (Deemed University), Pune, 411 025, India

    K Pravin Kashyap, Odelu Ojjela & Samir Kumar Das

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  1. K Pravin Kashyap
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  2. Odelu Ojjela
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  3. Samir Kumar Das
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Correspondence to Odelu Ojjela.

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Kashyap, K.P., Ojjela, O. & Das, S.K. Magnetohydrodynamic mixed convective flow of an upper convected Maxwell fluid through variably permeable dilating channel with Soret effect. Pramana - J Phys 92, 73 (2019). https://doi.org/10.1007/s12043-019-1732-4

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  • DOI: https://doi.org/10.1007/s12043-019-1732-4

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