ORIGINAL PAPER
The detrimental effect of thermal exposure and thermophoresis on MHD flow with combined mass and heat transmission employing permeability
More details
Hide details
1
Mathematics, Debraj Roy College, India
2
Mathematics, Assam Don Bosco University, India
3
Mathematics, Gauhati University, India
These authors had equal contribution to this work
Submission date: 2023-10-16
Final revision date: 2023-11-26
Acceptance date: 2024-01-17
Online publication date: 2024-03-26
Publication date: 2024-03-27
Corresponding author
Bamdeb Dey
Mathematics, Assam Don Bosco University, Assam Don Bosco University, 781017, Guwahati, India
International Journal of Applied Mechanics and Engineering 2024;29(1):90-104
KEYWORDS
TOPICS
ABSTRACT
We look at the viscous free-convective transitional magnetohydrodynamic thermal and mass flow over a plate that is always perforated and standing upright through permeable media while thermal radiation, a thermal source, and a chemical reaction are all going on. There is additional consideration for the Soret effect. The plate receives a normal application of a transversely consistent magnetic field. The magnetic Reynolds number is considerably lower considering the axial applied magnetic field instead of the induced magnetic field. The models that control mass, heat, and fluid flow are turned into two-dimensional shapes, and the answers are found by running numerical simulations using the MATLAB algorithm bvp4c. In realistic circumstances, the outcomes have been illustrated graphically. Several fluid properties have been found to have an impact on velocity, temperature, and concentration profiles. There is noticeable increase in velocity along with the growth of the permeability parameter and Soret number. Other dimensionless parameters have a significant impact on the fluid velocity. Likewise, the temperature profile diminishes as the radiation parameter has increased. The concentration distribution falls as the heat source parameter expands. Also, the analysis is encompassed in tabular form for the shearing stress, Nusselt number, and Sherwood number. The combined knowledge of heat and mass moving through viscous flows can be used to make a wide range of mechanisms and processes. These include biological reactors, therapeutic delivery systems, methods of splitting, aerodynamic aircraft design, and modeling for sustainability. It also optimizes automotive radiators and engine efficiency, and it improves cooling systems.
REFERENCES (32)
1.
Ene R. D., Pop N. and Badarau R. (2023): Heat and mass transfer analysis for the viscous fluid flow dual approximate solutions.– Mathematics., vol.11, No.7, pp.1-22.
2.
Qureshi I. H., Nawaz M., Abdel‐Sattar M. A., Aly S. and Awais M. (2021): Numerical study of heat and mass transfer in MHD flow of nanofluid in a porous medium with Soret and Dufour effects.– Heat Transfer., vol.50, No.5, pp.4501-4515.
3.
Fatunmbi E. O. and Adeniyan A. (2018): Heat and mass transfer in MHD micropolar fluid flow over a stretching sheet with velocity and thermal slip conditions.– Open Journal of Fluid Dynamics., vol.8, pp.195-215.
4.
Agaie B. G., Isa S., Mai’anguwa A. S. A., and Magaji A. S. (2021). Heat and mass transfer of MHD for an unsteady viscous oscillatory flow.– Science World Journal., vol.16, No.2, pp.138-144.
5.
Vanitha G.P., Mahabaleshwar U.S., Hatami M. and Yang X. (2023): Heat and mass transfer of micropolar liquid flow due to porous stretching/shrinking surface with ternary nanoparticles.– Scientific Reports., vol.13, No.1, pp.1-17.
6.
Sulochana C., Aparna S. R. and Sandeep N. (2021): Heat and mass transfer of magnetohydrodynamic Casson fluid flow over a wedge with thermal radiation and chemical reaction.– Heat transfer., vol.50, No.4, pp.3704-3721.
7.
Dey B., Nath J. M., Das T. K. and Kalita D. (2022): Simulation of transmission of heat on viscous fluid flow with varying temperatures over a flat plate.– JP Journal of Heat and Mass Transfer., vol.30, pp.1-18.
8.
Dey B. and Choudhury R. (2019): Slip effects on heat and mass transfer in MHD visco-elastic fluid flow through a porous channel.– In Emerging Technologies in Data Mining and Information Security.– Proceedings of IEMIS, Springer Singapore., vol.1, pp.553-564.
9.
Choudhury R., Dey B. and Das B. (2018): Hydromagnetic oscillatory slip flow of a visco-elastic fluid through a porous channel.– Chemical Engineering Transactions., vol.71, pp.961-966.
10.
Choudhury R. and Kumar Das S. (2014): Visco-elastic MHD free convective flow through porous media in presence of radiation and chemical reaction with heat and mass transfer.– Journal of Applied Fluid Mechanics., vol.7, No.4, pp.603-609.
11.
Alghaseb M. A., Hassen W., Mesloub A., and Kolsi L. (2022): Effect of heat source position in fluid flow, heat transfer and entropy generation in a naturally ventilated room.– Mathematics., vol.10, No.2, pp.1-23.
12.
Jha B. K. and Samaila G. (2020): 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 Applied Sciences., vol.2, pp.1-15.
13.
Metri P. G., Metri P. G., Abel S. and Silvestrov S. (2016): Heat transfer in MHD mixed convection viscoelastic fluid flow over a stretching sheet embedded in a porous medium with viscous dissipation and non-uniform heatsource/sink.– Procedia Engineering., vol.157, pp.309-316.
14.
Idowu A. S. and Sani U. (2019): Thermal radiation and chemical reaction effects on unsteady magnetohydrodynamic third grade fluid flow between stationary and oscillating plates.– International Journal of Applied Mechanics and Engineering., vol.24, No.2, pp.269-293.
15.
Prameela M., Lakshmi D. V. and Gurejala J. R. (2021): Influence of thermal radiation on MHD fluid flow over a sphere.– Biointerface Research in Applied Chemistry., vol.12, No.5, pp.6978-6990.
16.
Kumar M. A., ReddyY. D., Rao V. S. and Goud B. S. (2021): Thermal radiation impact on MHD heat transfernatural convective nanofluid flow over an impulsively started vertical plate.– Case Studies in Thermal Engineering, vol.24, pp.1-10.
17.
Hassan A. R. and Fenuga O. J. (2019): The effects of thermal radiation on the flow of a reactive hydromagneticheat generating couple stress fluid through a porous channel.– SN Applied Sciences., vol.1, pp.1-10.
18.
Dey B., Kalita, B. and Choudhury R. (2022): Radiation and chemical reaction effects on unsteady viscoelastic fluid flow through porous medium.– Frontiers in Heat and Mass Transfer (FHMT)., vol.18, pp.1-8.
19.
Haldar S., Mukhopadhyay S. and Layek G. C. (2021): Effects of thermal radiation on Eyring–Powell fluid flow and heat transfer over a power-law stretching permeable surface.– International Journal for Computational Methods in Engineering Science and Mechanics., vol.22, No.5, pp.366-375.
20.
Sahoo A. and Nandkeolyar R. (2021): Entropy generation and dissipative heat transfer analysis of mixed convective hydromagnetic flow of a Casson nanofluid with thermal radiation and Hall current.– Scientific Reports., vol.11, No.1, pp.1-31.
21.
Eckert E. R. and Drake Jr R. M. (1987): Analysis of heat and mass transfer.– Hemisphere Publishing; New York., vol.19, No.23, pp.1-806.
22.
Reddy G. V. R. and Krishna Y. H. (2018): Soret and Dufour effects on MHD micropolar fluid flow over a linearly stretching sheet, through a non-Darcy porous medium.– International Journal of Applied Mechanics and Engineering., vol.23, No.2, pp.485-502.
23.
Gautam A. K., Verma A. K., Bhattacharyya K. and Banerjee A. (2020): Soret and Dufour effects on MHD boundary layer flow of non-Newtonian Carreau fluid with mixed convective heat and mass transfer over a moving vertical plate.– Pramana, vol.94, pp.1-10.
24.
Quader A. and Alam M. M. (2021): Soret and dufour effects on unsteady free convection fluid flow in the presence of Hall current and heat flux.– Journal of Applied Mathematics and Physics., vol.9, pp.1611-1638.
25.
Sasikumar J. and Govindarajan A. (2018): Soret effect on chemically radiating MHD oscillatory flow with heat source through porous medium in asymmetric wavy channel.– In Journal of Physics: Conference SeriesIOP Publishing., vol.1000, No.1, pp.1-12.
26.
Kumar M. A., Reddy Y. D., Goud B. S. and Rao V. S. (2021): Effects of Soret, Dufour, Hall current, and rotation on MHD natural convective heat and mass transfer flow past an accelerated vertical plate through a porous medium.– International Journal of Thermofluids., vol.9, pp.1-9.
27.
Kabir M. A. and Al Mahbub M. A. (2012): Effects of thermophoresis on unsteady MHD free convective heat and mass transfer along an inclined porous plate with heat generation in presence of magnetic field.– Open Journal of Fluid Dynamics, vol.2 No.4, Article ID:25497, p.4, DOI:10.4236/ojfd.2012.24012.
28.
Sheikholeslami M., Ganji D. D., Javed M. Y., and Ellahi R. (2015): Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two-phase model.– Journal of Magnetism and Magnetic Materials, vol.374, pp.36-43.
29.
Das K. (2012): Influence of thermophoresis and chemical reaction on MHD micropolar fluid flow with variable fluid properties.– International journal of heat and mass transfer., vol.55, pp.7166-7174.
30.
Raju M. C., Verma S.V. K., and Anandareddy N. (2012): Radiation and mass transfer effects on a free convective flow through a porous media bounded by vertical surface.– Journal on Future Engineering & Technology, vol.7, No.2, pp.7-12.
31.
Shampine L. F., Gladwell I., and Thompson S. (2003): Solving ODEs with Matlab.– Cambridge University Press.
32.
Kierzenka J., and Shampine L. F. (2001): A BVP solver based on residual control and the Maltab PSE.– ACM Transactions on Mathematical Software (TOMS), vol.27, No.3, pp.299-316.