THERMO-DIFFUSION AND HALL EFFECT ON RADIATING AND REACTING MHD CONVECTIVE HEAT ABSORBING FLUID PAST AN EXPONENTIALLY ACCELERATED VERTICAL POROUS PLATE WITH RAMPED TEMPERATURE
Numerical investigation is undertaken to study the effects of thermo-diffusion and Hall current on unsteady magneto-hydrodynamic convective flow of a viscous, incompressible, electrically conducting, radiating and heat absorbing fluid past an exponentially accelerated infinite vertical porous plate with ramped temperature in the presence of chemical reaction. A uniform magnetic field is applied transversely in the direction of the flow. The governing system of partial differential equations along with initial and boundary conditions is transformed to dimensionless form and then solved by employing finite element method. The impact of various flow parameters on the primary and secondary fluid velocities, fluid temperature and fluid concentration as well as shear stress, rate of heat and mass transfer at the plate are displayed through the graphs and tables. It can be observed that the temperature profiles are slower in case of ramped temperature plate than that of isothermal plate.
Rao A, J, Reddy P, B. Heat and mass transfer of an unsteady MHD natural convection flow of a rotating fluid past a vertical porous plate in the presence of radiative heat transfer. J Energy, Heat and Mass Transfer. 2010;223–41.
2.
Bathe K. Finite Element Procedures. . Prentice-Hall, New Jersey. 1996;
3.
Das S, Sarkar B, Jana. Hall effect on MHD free convection boundary layer flow past a vertical flat plate. Meccanica. 2013;1387–98.
4.
Das S, Guchaitt S, Makinde J, O. Hall effect on an unsteady magnetoconvection and radiative heat transfer past a porous plate. Alexandria Engineering Journal. 2016;1321–31.
5.
Das S, Jana RN, Ghosh S. Hall effect on unsteady MHD natural convective flow past an impulsively moving plate with ramped temperature and concentration. Ind J Pure and Appl Phys. 2016;517–34.
6.
Makinde O. Free convection flow with thermal radiation and mass transfer past a moving vertical plate. Int Comm Heat and Mass Transfer. 2005;1411–9.
7.
Mahmoud MAA. Thermal radiation effects on unsteady MHD free convection flow past a vertical plate with temperature dependent viscosity. Canadian J Chem Engg. 2009;47–52.
8.
Mahapatra N, Dash GC, Panda S, Aharya M. Effects of chemical reaction on free convection flow through a porous medium bounded by a vertical surface. J Engg Phys Thermo-Phys. 2010;130–40.
9.
Makinde O, Olanrewaju P. Unsteady mixed convection with Soret and Dufour effects past a porous plate moving through a binary mixture of chemically reacting fluid. Che Engg Comm. 2011;920–38.
10.
Mukhopadhyay S. The effects of thermal radiation on unsteady mixed convection flow and heat transfer over a porous stretching surface in porous medium. Int J Heat and Mass Transfer. 2009;3261–5.
11.
Muralidhran M, Muthucumaraswamy R. Radiation effects on linearly accelerated plate with variable mass diffusion in the presence of magnetic field. Appl Math, Sci. 2013;5645–56.
12.
Reddy P, B, Rao A, J. Radiation and thermal diffusion effects on an unsteady MHD free convection mass transfer flow past an infinite vertical porous plate with Hall current and heat source. J Engg Phys Thermo-Phys. 2011;1369–78.
13.
Prakash J, Prasad D, P, Kumar R V M S S K, Varma S, V K. Diffusion thermo effects on MHD free convective radiative and chemically reactive boundary layer flow through a porous medium over a vertical plate. J Comp Appl Res Mech Engg. 2016;111–26.
14.
Reddy P, Sunzu B, J. Dufour and Soret effects on unsteady MHD free convection flow of viscous incompressible fluid past an infinite vertical porous plate in the presence of radiation. J Serbian Soc Com Mech. 2018;9–26.
15.
Reddy P, Peter B, J. Effects of chemical reaction on MHD flow past an impulsively started infinite vertical plate with variable temperature and diffusion in the presence of Hall current. J Serbian Soc Comp Mech. 2019;92–108.
16.
Reddy P, B. Radiation and chemical reaction effects on unsteady MHD free convection parabolic flow past an isothermal infinite vertical plate with viscous dissipation. Int J Appl Mech Engg. 2019;343–58.
17.
Rajesh V, Varma S, V K. Radiation effects on MHD flow through a porous medium with variable temperature and mass diffusion. Int J Appl Math and Mech. 2010;39–57.
18.
Raju M, Varma SVK, Reddy A, N. Hall current effects on unsteady MHD flow between stretching sheet and an oscillatory porous upper parallel plate with constant suction. Thermal Science. 2011;45–8.
19.
Rajesh V. Effects of mass transfer on flow past an impulsively started infinite vertical plate with Newtonian heating and chemical reaction. J Engg Phys Thermo-Phys. 2012;221–8.
20.
Rajput U, Kanaujia N. MHD flow past a vertical plate with variable temperature and mass diffusion in the presence of Hall current. Int J Appl Sci Engg. 2016;115–23.
21.
Reddy JN. An Introduction to the Finite Element Method. 1985.
22.
Saha IK, Siddiqa S, Hossain MA. Effect of Hall current on MHD natural convection flow from vertical permeable flat plate with uniform surface heat flux. Appl Math Mech, Engl. 2011;32:1127–46.
23.
Seth GS, Kumbhakar B, Sharma R. Unsteady MHD free convection flow with Hall effect of a radiating and heat absorbing fluid past a moving vertical plate with variable ramped temperature. J Egyptian Math Soc. 2016;471–8.
24.
Seth GS, Bhattacharyya A, Tripathi R. Effect of Hall current on MHD natural convection heat and mass transfer flow of rotating fluid past a vertical plate with ramped wall temperature. Frontiers in Heat and Mass Transfer. 2017;1–12.
25.
Shanker R, Gnaneshwar R. Radiation effects on MHD flow past an impulsively started infinite vertical plate through a porous medium with variable temperature and mass diffusion. J Pure and Appl Phys. 2007;191–200.
26.
Shanker B, Reddy P, B, Rao A, J. Radiation and mass transfer effects on an unsteady MHD free convective fluid flow embedded in a porous medium with heat generation/absorption. Ind J Pure and Appl Phys. 2010;157–67.
27.
Shateyi S, Motsa S. Unsteady magneto-hydrodynamic convective heat and mass transfer past an infinite vertical plate in a porous medium with radiation, heat generation/absorption and chemical reaction. 2011;145–62.
28.
Sharma H, Jha A, Chaudary R. Hall effects on MHD mixed convective flow of a viscous incompressible fluid past a vertical porous plate immersed in a porous medium with heat source/sink. Rom J Phys. 2007;487–503.
29.
Kumar S, N, Kumar R, B, Kumar V, A. Thermal diffusion and chemical reaction effects on unsteady flow past a vertical porous plate with heat source in slip flow regime. J Naval Arch Marine Engg. 2016;51–62.
30.
Soundalgekhar V, Takhar H. Radiation effects on free convection flow past a semiinfinite vertical plate. Modeling Measurement and Control, B. 1993;31–40.
31.
Takhar H, Gorla R, Soundalgekhar V. Radiation effects on MHD free convection flow of a radiating gas past a semi-infinite vertical plate. Int J Num Heat and Fluid Flow. 1996;77–83.
32.
Venkateswarlu M, Reddy R, V G, Lakshmi V, D. Effects of chemical reaction and heat generation on MHD boundary layer flow of a moving vertical plate with suction and viscous dissipation. Engineering International. 2013;27–38.
33.
Venkateswarlu M, Padma P. Unsteady MHD free convective heat and mass transfer in a boundary layer flow past a vertical permeable channel with thermal radiation and chemical reaction. Procedia Engineering. 2015;791–9.
34.
Venkateswarlu M, Lakshmi V, D. Thermal diffusion, Hall current and chemical reaction effects on unsteady MHD natural convection flow past a vertical plate. Mechanical Engineering journal. 2017;363–71.
The statements, opinions and data contained in the journal are solely those of the individual authors and contributors and not of the publisher and the editor(s). We stay neutral with regard to jurisdictional claims in published maps and institutional affiliations.