Effects of Radiation and Heat Dissipation on MHD Convective Flow in Presence of Heat Sink

Keywords: Heat and mass transfer, MHD, Heat dissipation, Porous medium, bvp4c

Abstract

The paper examines heat and mass transfer in MHD convective flow across a vertical porous plate in presence of radiation, heat sink, and dissipation of heat. A strong magnetic field is applied perpendicular to the plate and directed into the fluid area. The governing non-dimensional equations are solved using MATLAB built-in bvp4c solver technique. With the use of mathematical software, the findings are computed, and the effect of the various non-dimensional parameters entering into the problem on the velocity, temperature and concentration profiles are displayed in graphical formats. It has been noted that the application of the magnetic field slows down fluid velocity. Additionally, both the thermal radiation effect and the Prandtl number are fully applicable to the fluid temperature. It is significant to notice that the heat sink dramatically reduces fluid temperature and fluid velocity. The current work is utilized in many real life applications, such as chemical engineering, industrial processes, a system may contain multiple components, each of whose concentrations varies from one point to the next in a number of different circumstances.

Downloads

Download data is not yet available.

References

H. Alfvén, “Existence of Electromagnetic-Hydrodynamic Waves”, Nature 150, 405–406 (1942), https://doi.org/10.1038/150405d0

T.G. Cowling, Magnetohydrodynamics, (Interscience Publishers, New York, 1957).

J.A. Shercliff, A Textbook of Magnetohydrodynamics, (Pergamon, Oxford, 1965).

A. Raptis, and C.V. Massals, “Flow past a plate by the presence of radiation”, Heat and Mass Transfer, 34, 107-109 (1998). https://doi.org/10.1007/s002310050237

M.A. Hossain, M.A. Alim, and D.A.S. Rees, “The effect of radiation on free convection from a porous vertical plate,” International Journal of Heat and Mass Transfer, 42(1), 181-191 (1999), https://doi.org/10.1016/S0017-9310(98)00097-0

V.C.A. Ferraro, and C. Plumpton, An Introduction to Magneto Fluid Mechanics, (Clarandon Press, Oxford, 1966).

C.-H. Chen, “Combined Heat and Mass Transfer in MHD Free Convection from a Vertical Surface with Ohmic Heating and Viscous Dissipation”, International Journal of Engineering Science, 42(7), 699-713 (2004), http://dx.doi.org/10.1016/j.ijengsci.2003.09.002

N. Ahmed, and K. Choudhury, “Heat and mass transfer in three‐dimensional flow through a porous medium with periodic permeability”, Heat Transfer-Asian Research, 48 (2), 644-662 (2018). https://doi.org/10.1002/htj.21399

A. Raptis, and C. Perdikis, “Radiation and Free Convection Flow past a Moving Plate”, Applied Mechanics and Engineering, 14, 817-821 (1999).

J.Y. Kim, “Unsteady MHD convective heat transfer past a semi-infinite vertical porous moving plate with variable suction” International Journal of Engineering Sciences, 38(8), 833-845 (2000), https://doi.org/10.1016/S0020-7225(99)00063-4

N. Senapati, and R.K. Dhal, “Magnetic effect on mass and heat transfer of a hydrodynamic flow past a vertical oscillating plate in presence of chemical reaction,” Modelling, Measurement and Control B, 79, 60-75 (2010).

P. Vyas, A. Rai, and K. Shekhawat, “Dissipative heat and mass transfer in porous medium due to continuously moving plate,” Applied Mathematical Science, 6(87), 4319–4330 (2012). https://www.m-hikari.com/ams/ams-2012/ams-85-88-2012/raiAMS85-88-2012-2.pdf

R. Vemula, “Chemical reaction and radiation effects on the transient MHD free convection flow of dissipative fluid past an Infinite vertical porous plate with ramped wall temperature,” Chemical Industry and Chemical Engineering Quarterly, 17(2), (2011). http://dx.doi.org/10.2298/CICEQ100829003R

N. Ahmed, and M. Dutta, “Natural convection in transient MHD dissipative flow past a suddenly started infinite vertical porous plate: A finite–difference approach,” Heat Transfer Research, 49(6), 491-508 (2018), http://dx.doi.org/10.1615/HeatTransRes.2018016823

K. Chamuah, and N. Ahmed, “MHD free convective dissipative flow past a porous plate in a porous medium in presence of radiation and thermal diffusion effects,” Heat Transfer, 51(2), 1964-1981 (2022). https://doi.org/10.1002/htj.22383

Y.D. Reddy, B.S. Goud, & M.A. Kumar, “Radiation and heat absorption effects on an unsteady MHD boundary layer flow along an accelerated infinite vertical plate with ramped plate temperature in the existence of slip condition,” Partial Differ. Equ. Appl. Math. 4, 100166 (2021). https://doi.org/10.1016/j.padiff.2021.100166

A. M. Sedki, “Effect of thermal radiation and chemical reaction on MHD mixed convective heat and mass transfer in nanofluid flow due to nonlinear stretching surface through porous medium”. Results in Materials, 16, 100334 (2022) https://doi.org/10.1016/j.rinma.2022.100334

B.K. Jha, and G. Samaila, “Effect of heat source/sink on MHD free convection flow in a channel filled with nanofluid in the existence of induced magnetic field: an analytic approach,” SN Appl. Sci. 2, 1321 (2020). https://doi.org/10.1007/s42452-020-3139-8

S. Matta, B.S. Malga, G.R. Goud, L. Appidi, and P.P. Kumar, “Effects of viscous dissipation on MHD free convection flow past a semi-infinite moving vertical porous plate with heat sink and chemical reaction,” Materials Today: Proceedings, (2023). https://doi.org/10.1016/j.matpr.2023.06.108

B. Manvi, J. Tawade, M. Biradar, S. Noeiaghdam, U. Fernandez-Gamiz, and V. Govindan, “The effects of MHD radiating and non-uniform heat source/sink with heating on the momentum and heat transfer of Eyring-Powell fluid over a stretching,” Results in Engineering, 14, 100435 (2022). https://doi.org/10.1016/j.rineng.2022.100435

P. Bhaskar, and M. Venkateswarlu, “Influence of Heat Generation and Thermal Radiation on MHD Flow in a Vertical Micro-Porous-Channel in the Presence of Viscous Dissipation,” Mapana Journal of Sciences, 21, 1-22 (2021).

O.L. Andreeva, L.A. Bulavin, and V.I. Tkachenko, “The Stability of a Rotating and Heated from Below Horizontal Cylindrical Layer of a Viscous, Incompressible Liquid with Free Boundaries,” East European Journal of Physics, 4, 18–33 (2019). https://doi.org/10.26565/2312-4334-2019-4-02

O.L. Andrieieva, B.V. Borts, А.F. Vanzha, I.М. Korotkova, and V.I. Tkachenko, “Stability of a Viscous Incompressible Conducting Liquid Layer of a Cylindrical Shape in an Inhomogeneous Temperature Field and a Magnetic Field of a Vacuum Arc Current Through it,” Problems of Atomic Science and Technology, 133(3), 91-97 (2021). https://doi.org/10.46813/2021-133-091

A.C. Cogley, W.G. Vincent, S.E. Gilles, “Differential approximation for radiative heat transfer in a Gray gas near equilibrium”, AIAA Journal, 6(3), 551-553 (1968), https://doi.org/10.2514/3.4538

Published
2023-09-04
Cited
How to Cite
Akhtar, S., Borah, K., & Chakraborty, S. (2023). Effects of Radiation and Heat Dissipation on MHD Convective Flow in Presence of Heat Sink. East European Journal of Physics, (3), 471-478. https://doi.org/10.26565/2312-4334-2023-3-53