Heat absorption and Hall current effects on unsteady MHD flow past an inclined plate

Authors

  • Gaurav KUMAR Department of Mathematics & Computer Science, Babu Banarasi Das University, Lucknow, India, logontogauravsharma@gmail.com (* corresponding author)
  • S.M.K. RIZVI Department of Mathematics & Computer Science, Babu Banarasi Das University, Lucknow, India, kamil@bbdu.ac.in
  • Amresh KUMAR Department of Mathematics, Babu Banarasi Das Northern India Institute of Technology, Lucknow, India, amresh_srivastava@yahoo.co.in

DOI:

https://doi.org/10.24193/subbeng.2020.1.9

Keywords:

MHD flow, heat absorption, inclined plate, variable temperature, mass diffusion, Hall current.

Abstract

In the present paper, we study the effect of heat absorption on unsteady flow of a viscous, incompressible, electrically conducting fluid past an impulsively started inclined plate with variable wall temperature and mass diffusion in the presence of transversely applied uniform magnetic field and Hall current. Earlier we analyzed the effects of radiation and chemical reaction on MHD flow past a vertical plate with variable temperature and mass diffusion. We had obtained the results which were in agreement with the desired flow phenomenon. To study further, we are changing the model by considering heat absorption on fluid, and changing the geometry of the model. Here in this paper we are considering the plate positioned inclined from vertically plane and impulsively started with velocity u0. The temperature of plate and the concentration level near the plate is increase linearly with time. The governing equations involved in the present analysis are solved by the Laplace-transform technique. The results obtained have been analyzed with the help of graphs drawn for different parameters like thermal Grashof number, mass Grashof Number, Prandtl number, permeability parameter, Hall current parameter, heat absorption parameter, magnetic field parameter and Schmidt number. The numerical values obtained for skin-friction and Nusselt number have been tabulated. The results are found to be in a good agreement and the data obtained is in concurrence with the actual MHD fluid flow phenomenon.

References

Alia M.M., Mamunb A.A., Malequec M.A, Azimd N.H.A, Radiation effects on MHD free convection flow along vertical flat plate in presence of Joule heating and heat generation, Procedia Engineering (Elsevier), 56, 2013, pp. 503–509.

Das M., Mahatha B.K., Nandkeolyar R., Mandal B.K., Saurabh K., Unsteady hydromagnetic flow of a heat absorbing dusty fluid past a permeable vertical plate with ramped temperature, Journal of Applied Fluid Mechanics, 7(3), 2014, pp. 485-492.

Kumar G, Bansal A, Unsteady flow past on vertical cylinder in the presence of an inclined magnetic field and chemical reaction, Analele Universitatii „Eftimie Murgu“ Resita, Fascicula de Inginerie, 26(1), 2019, pp 107-118.

Kumar G., Kumar A., Misra M.K., Srivastava V., Chemical reaction effect on MHD flow past an pulsively started vertical cylinder with variable temperature and mass diffusion, Journal of Science and Arts, 47(2), 2019, pp. 513-522.

Mamun A.A., Chowdhury Z.R., Azim M.A., Molla M.M., MHD-conjugate heat transfer analysis for a vertical flat plate in presence of viscous dissipation and heat generation, International Communications in Heat and Mass Transfer, 35, 2008, pp. 1275–1280.

Rajput U.S., Kumar G., Chemical reaction effect on unsteady MHD flow past an impulsively started oscillating inclined plate with variable temperature and mass diffusion in the presence of Hall current, Applied research journal, 2(5), 2016, pp.244-253.

Rajput U S, Kumar G, Effects of radiation and chemical reaction on MHD flow past a vertical plate with variable temperature and mass diffusion, Journal of Naval Architecture and Marine Engineering, 16, 2019, pp. 99-108.

Shit G.C., Haldar R., Combined effects of thermal radiation and Hall current on MHD free-convective flow and mass transfer over a stretching sheet with variable viscosity, Journal of Applied Fluid Mechanics, 5(2), 2012, pp. 113-121.

Stanford Shateyi , Gerald T Marewo, On a new numerical analysis of the Hall effect on MHD flow and heat transfer over an unsteady stretching permeable surface in the presence of thermal radiation and heat source/sink, Shateyi and Marewo Boundary Value Problems,170, 2014, pp. 014-170.

Seth G.S., Sarkar S., Mahato G.K., Numerical solution of unsteady hydromagnetic natural convection flow of heat absorbing fluid past an impulsively moving vertical plate with ramped temperature, International Journal of Applied Mathematical Research, 2(2), 2013, pp. 317-324.

Sharma B.K., Jha A.K., Chaudhary R.C., Hall effect on MHD mixed convective flow of a viscous incompressible fluid past a vertical porous plate immersed in porous medium with heat source/sink, Rom. Journ. Phys., 52(5), 2007, pp. 487–503.

Tanvir A., Md. Mahmud A., Finite difference solution of MHD mixed convection flow with heat generation and chemical reaction, Procedia Engineering (Elsevier), 56, 2013, pp. 149 –156.

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Published

2020-11-23

How to Cite

KUMAR, G., RIZVI, S., & KUMAR, A. (2020). Heat absorption and Hall current effects on unsteady MHD flow past an inclined plate. Studia Universitatis Babeș-Bolyai Engineering, 65(1), 79–95. https://doi.org/10.24193/subbeng.2020.1.9

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Articles