The Influence of Radiation on Unstable MHD Free Convection over a Vertical Plate in Two Dimensions
Heat Transfer Flow, unsteady state equations, Magnetic Field, Finite Difference Method.
Keywords:
Heat Transfer Flow, unsteady state equations, Magnetic Field, Finite Difference Method
Abstract
This research studies the case of unsteady heat flux under the influence of two main factors: thermal radiation and magnetic force across a vertical plate. In order to explore the partial differential equations without introducing the dimensions of energy, momentum and continuity, a set of dimensionless nonlinear systems of partial differential equations were solved using the numerical finite difference method. Because of the assumed parameter ramifications of the velocity and temperature problem are also investigated without dependence on dimensions. Temperatures and momentum profiles are derived via finite differences. Following that, a qualitative and visual presentation of the parameter results on the velocity and temperature profiles is made .
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References
[1] Joseph K. and et al, "The Unsteady MHD Free Convective Two Immiscible Fluid Flows in a Horizontal Channel with Heat and Mass Transfer," International Journal of Mathematics and Computer Research, vol. 3, no. 5, pp. 954-972,2015.
[2] Kumar S., and Singh Ch., "Heat Transfer and Fluid Flow Characteristic of Blood Flow in Multi- Stenosis Artery with Effect of Magnetic Field," Indian Journal of Biomechanics: Special Issue (NCBM 7-8 March), 2009.
[3] Seethamahalakshmi, and et al, "Unsteady MHD free convection flow and mass transfer near a moving vertical plate in the presence of thermal radiation," Advances in Applied Science Research, vol. 2, no. 6, pp.261-269, 2011.
[4] Zhang, and et al,"Hall effects on natural convection of participating MHD with thermal radiation in a cavity, "International Journal of Heat and Mass Transfer, vol. 66, pp. 838–843, 2013.
[5] Narahari M., and et al, "Unsteady Magneto hydrodynamic Free Convection Flow of a Radiative
Fluid past an Infinite Vertical Plate with Constant Heat and Mass Flux," Applied Mechanics and
Materials, pp.465-466:149-154, 2014.
[6] Namdeppanavar M.M., and Shilpa J.M., "Stagnation Point Flow of Non- Newtonian Fluid and Heat Transfer over Stretching/Shrinking Sheet," Chemical and Process Engineering Research, vol. 46, pp. 27-34, 2016.
[7] Ibrahim M., and Suneetha K., "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, no. 2, pp. 83-95, 2016.
[8] Kumari K., and Goyal M.," Heat and Mass Transfer Flow of MHD Viscous Dissipative Fluid in a
Channel with a Stretching and Porous Plate," An International Journal of Applied Mathematics
and Information Sciences Letters, vol. 5, pp. 81-87, 2017.
[9] Pandya N., and Yadav R., "Numerical study of effects of Soret-Dufour, Hall, radiation and chemical
Journal of Creative Research Thoughts (IJCRT), vol. 6, no. 1, 2018.
[10] El-Amin M., and et al," Numerical Study of the Magnetic Field Effect on Ferromagnetic Fluid
Flow and Heat Transfer in a Square Porous Cavity," energies, vol. 11, pp. 3235, 2018.
Available https://doi.org/10.3390/en11113235
[11] Rahman A., and et al," Influence of Magnetic Force on the Flow Stability in a Rectangular Duct,"
Advances in Appl. Math. and Mech.,vol. 11,no. 1, pp. 24-37, 2019.
[12] Hammodat A., and et al, "Numerical Solution of Energy Equation in Porous Channels under Effects
of Radiation Field," Iraqi Journal of Science, vol. 62, no. 10, pp. 3620-3633,2021
Available https://doi.org/10.24996/ijs.2021.62.10.20
[13] Sharif Ullah M., and et al, "A Study of Two Dimensional Unsteady MHD Free Convection Flow
over a Vertical Plate in the Presence of Radiation," Open Journal of Fluid Dynamics, vol. 11, pp.
20-31, 2021.
[14] Nagaraju V., and et al, Aligned Magnetic Field and Thermal Radiation effects on Unsteady MHD
Flow an Inclined Porous Plate with Chemical Reaction and Heat Source: Finite Difference
Technique," Journal of Mathematical Control Science and Applications, vol. 17, no.1, pp. 145-
161, 2021.
15] Adeshina T., and Joel C., "Effect of the Variable Electrical Conductivity on the Thermal Stability
of the MHD Reactive Squeezed Fluid Flow Through a Channel by a Spectral Collocation
Approach, Partial Differential Equations in Applied Mathematics," vol.5, 2022.
Available https://doi.org/10.1016/j.padiff.2021.100256
[16] Bodoloi R., and Ahmed N., "MHD Free Convection from a Semi-infinite Vertical Porous Plate
With Diffusion-Thermo Effect," Platinum Open Access Journal, vol. 12, no. 6, pp. 7685-7695,
2022.
[17] Brewster, M. Thermal Radiative Transfer Properties, John Wiley and Sons, New York, 1972.
[18] Bhattacharyya, K.,"MHD Stagnation-Point Flow of Casson Fluid and Heat Transfer over a
Stretching Sheet with Thermal Radiation," Journal of Thermodynamics, Article, 2013.
Available Article ID 169674 | https://doi.org/10.1155/2013/169674
[19] Ahmed K. Advantages and disadvantages of using MATLAB/Ode45 for solving differential
equations in engineering applications, Int. J. Eng., vol. 7, no. 1, pp. 25–31, 2013.
[2] Kumar S., and Singh Ch., "Heat Transfer and Fluid Flow Characteristic of Blood Flow in Multi- Stenosis Artery with Effect of Magnetic Field," Indian Journal of Biomechanics: Special Issue (NCBM 7-8 March), 2009.
[3] Seethamahalakshmi, and et al, "Unsteady MHD free convection flow and mass transfer near a moving vertical plate in the presence of thermal radiation," Advances in Applied Science Research, vol. 2, no. 6, pp.261-269, 2011.
[4] Zhang, and et al,"Hall effects on natural convection of participating MHD with thermal radiation in a cavity, "International Journal of Heat and Mass Transfer, vol. 66, pp. 838–843, 2013.
[5] Narahari M., and et al, "Unsteady Magneto hydrodynamic Free Convection Flow of a Radiative
Fluid past an Infinite Vertical Plate with Constant Heat and Mass Flux," Applied Mechanics and
Materials, pp.465-466:149-154, 2014.
[6] Namdeppanavar M.M., and Shilpa J.M., "Stagnation Point Flow of Non- Newtonian Fluid and Heat Transfer over Stretching/Shrinking Sheet," Chemical and Process Engineering Research, vol. 46, pp. 27-34, 2016.
[7] Ibrahim M., and Suneetha K., "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, no. 2, pp. 83-95, 2016.
[8] Kumari K., and Goyal M.," Heat and Mass Transfer Flow of MHD Viscous Dissipative Fluid in a
Channel with a Stretching and Porous Plate," An International Journal of Applied Mathematics
and Information Sciences Letters, vol. 5, pp. 81-87, 2017.
[9] Pandya N., and Yadav R., "Numerical study of effects of Soret-Dufour, Hall, radiation and chemical
Journal of Creative Research Thoughts (IJCRT), vol. 6, no. 1, 2018.
[10] El-Amin M., and et al," Numerical Study of the Magnetic Field Effect on Ferromagnetic Fluid
Flow and Heat Transfer in a Square Porous Cavity," energies, vol. 11, pp. 3235, 2018.
Available https://doi.org/10.3390/en11113235
[11] Rahman A., and et al," Influence of Magnetic Force on the Flow Stability in a Rectangular Duct,"
Advances in Appl. Math. and Mech.,vol. 11,no. 1, pp. 24-37, 2019.
[12] Hammodat A., and et al, "Numerical Solution of Energy Equation in Porous Channels under Effects
of Radiation Field," Iraqi Journal of Science, vol. 62, no. 10, pp. 3620-3633,2021
Available https://doi.org/10.24996/ijs.2021.62.10.20
[13] Sharif Ullah M., and et al, "A Study of Two Dimensional Unsteady MHD Free Convection Flow
over a Vertical Plate in the Presence of Radiation," Open Journal of Fluid Dynamics, vol. 11, pp.
20-31, 2021.
[14] Nagaraju V., and et al, Aligned Magnetic Field and Thermal Radiation effects on Unsteady MHD
Flow an Inclined Porous Plate with Chemical Reaction and Heat Source: Finite Difference
Technique," Journal of Mathematical Control Science and Applications, vol. 17, no.1, pp. 145-
161, 2021.
15] Adeshina T., and Joel C., "Effect of the Variable Electrical Conductivity on the Thermal Stability
of the MHD Reactive Squeezed Fluid Flow Through a Channel by a Spectral Collocation
Approach, Partial Differential Equations in Applied Mathematics," vol.5, 2022.
Available https://doi.org/10.1016/j.padiff.2021.100256
[16] Bodoloi R., and Ahmed N., "MHD Free Convection from a Semi-infinite Vertical Porous Plate
With Diffusion-Thermo Effect," Platinum Open Access Journal, vol. 12, no. 6, pp. 7685-7695,
2022.
[17] Brewster, M. Thermal Radiative Transfer Properties, John Wiley and Sons, New York, 1972.
[18] Bhattacharyya, K.,"MHD Stagnation-Point Flow of Casson Fluid and Heat Transfer over a
Stretching Sheet with Thermal Radiation," Journal of Thermodynamics, Article, 2013.
Available Article ID 169674 | https://doi.org/10.1155/2013/169674
[19] Ahmed K. Advantages and disadvantages of using MATLAB/Ode45 for solving differential
equations in engineering applications, Int. J. Eng., vol. 7, no. 1, pp. 25–31, 2013.
Published
2023-03-26
How to Cite
deleted. (2023). The Influence of Radiation on Unstable MHD Free Convection over a Vertical Plate in Two Dimensions. Al-Qadisiyah Journal of Pure Science, math 137-146. https://doi.org/10.29350/qjps.2021.26.5.1606
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Mathematics
Copyright (c) 2023 Alaa Hammodat
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