THERMO-DIFFUSION AND HALL EFFECT ON RADIATING AND REACTING MHD CONVECTIVE HEAT ABSORBING FLUID PAST AN EXPONENTIALLY ACCELERATED VERTICAL POROUS PLATE WITH RAMPED TEMPERATURE

Bijjula Prabhakar Reddy

doi:10.24874/jsscm.2020.14.01.02

Research paper

Published: 01.12.2019.

<< Prev | Next >>

PDF

https://doi.org/10.24874/jsscm.2020.14.01.02

THERMO-DIFFUSION AND HALL EFFECT ON RADIATING AND REACTING MHD CONVECTIVE HEAT ABSORBING FLUID PAST AN EXPONENTIALLY ACCELERATED VERTICAL POROUS PLATE WITH RAMPED TEMPERATURE

Abstract

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.

Keywords:

Hall current,

MHD,

radiation,

chemical reaction,

heat absorption,

vertical porous plate

References

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.

Bathe K. Finite Element Procedures. . Prentice-Hall, New Jersey. 1996;

Das S, Sarkar B, Jana. Hall effect on MHD free convection boundary layer flow past a vertical flat plate. Meccanica. 2013;1387–98.

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.

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.

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.

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.

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.

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.

Citation

Copyright

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Article metrics

Google scholar: See link

Vol 14, Issue 1, 2020

MULTISCALE COMPOSITE 3D FINITE ELEMENT FOR LUNG MECHANICS THERMO-DIFFUSION AND HALL EFFECT ON RADIATING AND REACTING MHD CONVECTIVE HEAT ABSORBING FLUID PAST AN EXPONENTIALLY ACCELERATED VERTICAL POROUS PLATE WITH RAMPED TEMPERATURE A STOCHASTIC MODEL FOR CRACK INITIATION LIFE PREDICTION OF AN AUSTENITIC STAINLESS STEEL UNDER CONSTANT AMPLITUDE LOADING COMBINED EFFECT OF THERMAL RADIATION AND VISCOUS DISSIPATION ON UNSTEADY FREE CONVECTIVE MAGNETO-HYDRODYNAMIC FLOW THROUGH AN IRREGULAR CHANNEL ENHANCED DAMPING CHARACTERISTICS OF TIMOSHENKO BEAM ON ELASTIC AND METAMATERIAL FOUNDATIONS See full issue

Citations

LAKSHMIKAANTH D, Selvaraj A. , Bhavani S.

(2024)

Exploration of the Impacts of Hall Effect, Dufour Effect, and Heat Source on Parabolic Flow over an Infinite Vertical Plate in the Presence of Rotation, Chemical Reaction, and Radiation in a Porous Medium

CFD Letters, 17(1)

10.37934/cfdl.17.1.6077

B. Prabhakar Reddy, Jumanne Mng’ang’a, J. M. Sunzu

(2025)

Viscous dissipation and thermo-diffusion effects on time-dependent MHD heat propagative nanofluid flux across vertical movable permeable plate with thermal radiation

Mechanics of Time-Dependent Materials, 29(3)

10.1007/s11043-025-09818-4

B. Prabhakar Reddy, M. H. Simba, Alfred Hugo, Pedro Castano

(2023)

Effects of Thermodiffusion and Chemical Reaction on Magnetohydrodynamic-Radiated Unsteady Flow Past an Exponentially Accelerated Inclined Permeable Plate Embedded in a Porous Medium

International Journal of Chemical Engineering, 2023()

10.1155/2023/9342174

Nazibuddin Ahmed, Masuma Khanam, Hiren Deka

(2025)

MHD Flow Past a Temporarily Accelerated Semi‐infinite Vertical Plate With Linear Ramped Conditions in Presence of Thermal Diffusion, Thermal Radiation, Chemical Reaction, and Heat Sink

Heat Transfer, 54(7)

10.1002/htj.70015

B. Prabhakar Reddy, Jumanne Mng’ang’a, M. Paul Matao

(2025)

Viscous Dissipation, Inclined Magnetic Field and Joule Heating Impacts on Mixed Convection MHD Oscillatory Diffusion-Radiative Casson Fluid Flow with Chemical Reaction Over a Slanted Vertical Porous Plate

Nano, 20(03)

10.1142/S1793292024501182

Sudip Dey, Swati Mukhopadhyay, Kuppalapalle Vajravelu

(2025)

Thermo‐Solutal Nonlinear Convection in a Nanofluid Flow Past a Porous Plate in the Presence of Heat Generation/Absorption

Heat Transfer, 54(2)

10.1002/htj.23221

Hashim M. Alshehri, Khaled Lotfy

(2024)

Influence of hall current and acoustic pressure on a thermoelastic plate in a two-temperature model undergoing ramp-type heating

Results in Engineering, 24()

10.1016/j.rineng.2024.103536

Mohsen Saghafian, Mehdi Moslehi, Omid Ali Akbari

(2025)

Magnetohydrodynamic unsteady natural convection slip flow in a vertical parallel plate microchannel heated with constant heat flux

Heliyon, 11(1)

10.1016/j.heliyon.2024.e41502

Vijay Kumar Sukariya, Anurag, Anand Kumar

(2025)

Numerical study of Hall currents induced by radial magnetic fields on free convective flow through asymmetrically heated/cooled vertical annuli

European Journal of Mechanics - B/Fluids, 113()

10.1016/j.euromechflu.2025.204279

About

THERMO-DIFFUSION AND HALL EFFECT ON RADIATING AND REACTING MHD CONVECTIVE HEAT ABSORBING FLUID PAST AN EXPONENTIALLY ACCELERATED VERTICAL POROUS PLATE WITH RAMPED TEMPERATURE

Abstract

Keywords:

References

Citation

Copyright

Article metrics

Vol 14, Issue 1, 2020

Citations

Disclaimer