Document Type : Research Paper


1 Department of Mathematics and Astronomy, University of Lucknow, India

2 university of lucknow


Unsteady flow with magneto-hydrodynamics and heat generation through porous medium past an impulsively started vertical plate with constant wall temperature and mass diffusion is considered here. The effect studied is a combination of Hall current and chemical reaction. The motivation behind this study is the applications of such kind of problems in industry. In many industrial applications electrically conducting fluid is subjected to magnetic field. The fluid is passed through porous medium. The flow may be on a plate. There may be substance on the plate which may cause chemical reaction. The solution of flow model studied here is obtained by using Laplace transform method. The respective profiles have been drawn for velocity. The numerical data have been obtained using latest software techniques available. The profiles have been analyzed and discussed. The values of Nusselt number, Sherwood number, and drag on plate have been tabulated for analysis. The findings have been summarized in conclusion section.

Graphical Abstract

Combined effect of hall current and chemical reaction on MHD flow through porous medium with heat generation past an impulsively started vertical plate with constant wall temperature and mass diffusion


Main Subjects

[1] M. Gnaneswara Reddy and N. Sandeep “Free convective heat and mass transfer of magnetic bio-convective flow caused by a rotating cone and plate in the presence of nonlinear thermal radiation and cross diffusion”, Journal of computational and applied research in mechanical engineering, vol. 17, No. 1, pp, 1-21, (2017). 


[2]  G. S. Seth, R. Sharma, and S. M. Hussain, “Hall effects on unsteady MHD natural convection flow of a heat absorbing fluid past an accelerated moving vertical plate with ramped temperature”,  Emirates Journal for Engineering Research, 19 (2), pp.19-32,(2014). 


[3]  Siva Reddy Sheri, Ali J. Chamkha and Anjan Kumar Suram, “Heat and mass transfer effects on MHD natural convection flow past an impulsively moving vertical plate with ramped temperature”, Columbia International Publishing American Journal of Heat and Mass Transfer,  Vol. 3 No. 3 pp.129-148,(2016). 


[4] M. A. Seddek, “Finite-element method for the effects of chemical reaction, variable viscosity, thermophoresis and heat generation/absorption on a boundary-layer hydro magnetic flow with heat and mass transfer over a heat surface”. Acta Mech, 177,pp.1-18,(2005). 


[5] A Hazem Attia, Wabbas, A Mabdeen Mostafa, and A M said Ahmed, “Heat transfer      between two parallel porous plates For Couette flow under pressure gradient and Hall current”, Sadhana Indian Academy of Sciences,vol. 40, Part 1, February,pp.183–197,(2015). 


[6]  M. A. Hossain, M. S. Munir, and D. A. S. Rees, “Flow of viscous incompressible fluid with temperature de-pendent viscosity and thermal conductivity past a per-meable wedge with uniform surface heat flux”, International Journal of Thermal Sciences, vol. 39, No. 6, pp. 635-644, ( 2000). 


[7] A.Mythreye, J.P. Pramoda, K. S. Balamurugan, “Chemical reaction on unsteady MHD convective   heat  and mass transfer past a semi-infinite vertical permeable moving plate with heat absorption”,Procedia,Engineering (Elsevier),12, pp. 613 – 620, ( 2015 ). 


[8]T.G.Cowling, “Magnetohydrodynamics” Interscience Publishers, New York (1957).


[9] Rajput and Kanaujia, “Chemical reaction in MHD flow past a vertical plate with mass diffusion and constant wall temperature with Hall current”, International Journal of Engineering, Science and Technology. Vol. 8, No. 4, pp. 28-38,(2016). 


[10] L. Ramamohan  Reddy, M. C. Raju G. S. S. Raju and S. M. Ibrahim, “Chemical reaction and thermal radiation effects on MHD micro polar fluid past a stretching sheet embedded in a non- Darcian porous medium”, Journal of computational and applied research in mechanical engineering, vol. 6, page, no 2, pp. 27- 46, (2017).


[11] C. S. K. Raju, Sandeep Naramgari and M. S. Jagadeesh Kumar Heat transfer in MHD nano fluid flow over a cone and plate in the presence of heat source/sink, “Journal of computational and applied research in mechanical engineering”, vol. 6, page, no 2, pp. 233- 241, (2017).


 [12] Tasawar Hayat, Sabia Asghar, Anum Tanveer, Ahmed Alsaedi, Chemical reaction in peristaltic motion of MHD couple stress fluid in channel with Soret and Dufour effects, “Results in physics”, 10 pp.69–80,(2018).


[13] S. Mohammed Ibrahim and K. Suneetha, Effects of thermal diffusion and chemical reaction on MHD transient free convection flow past a porous vertical plate with radiation, temperature gradient dependent heat source in slip flow regime, “Journal of computational and applied research in mechanical engineering”, vol. 5, page, no 2, pp. 83- 95, (2016).


[14] C. Sulochanna, S.P. Samrata, N. Sandeep Numrical investigation of magnetohydrodynamic (MHD) radiative flow over a rotating cone in the presence of soret and chemical reaction , “Propulsion andPowerResearch 2018; 7(1), 91–101 (Elsevier). 


[15] N. F. M. Noor, O. Abdulaziz and I. Hashim, MHD flow and heat transfer in a thin liquid film on an unsteady stretching sheet by the homotopy analysis method, “International Journal for Numerical Methods in Fluids”,  2010; 63:357–373. 


[16] Anuar Ishak, Roslinda Nazar, and Ioan Pop,Magnetohydrodynamic flow and heat transfer due to a stretching cylinder, “Energy Conversion and Management”, 49 (2008),3265–3269,(Elsevier).