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Effects of Chemical Reaction, Radiation and Aligned Magnetic Field on Unsteady MHD Casson Fluid Flow Past a Moving an Infinite Vertical Plate Through Porous Medium in Presence of Heat Absorption

S. Rama Mohan*, G. Viswanatha reddy**, S. V. K. Varma***

*-*** Department of Mathematics, S.V. University, Tirupathi, Andhra Pradesh, India.

Periodicity:May - July'2019
DOI : https://doi.org/10.26634/jfet.14.4.14712

Abstract

The present paper studies the effect of aligned magnetic field on an unsteady MHD free convection Casson fluid flow past an infinite plate through porous medium in the presence of thermal radiation and heat absorption. When t*>0, the velocity u*=u₀, and that time, plate temperature and the concentration are raised to T*_w and C*_w and a first order chemical reaction takes place. A uniform magnetic field B₀ is applied in y*-direction. The systems of non-dimensional governing linear partial differential equations are solved analytically by using the Laplace transform technique. The influences of various non-dimensional parameters on the velocity, the temperature, the concentration, the Sherwood numbers, the local Nusselt and the skin friction have been discussed and analyzed through graphs and tables.

Keywords

Casson Fluids, MHD, Free Convection, Thermal Radiation, Chemical Reaction and Heat Absorption

How to Cite this Article?

Mohan, S.R., Reddy, G.V., and Varma, S. V. K. (2019). Effects of Chemical Reaction, Radiation and Aligned Magnetic Field on Unsteady MHD Casson Fluid Flow Past a Moving an Infinite Vertical Plate Through Porous Medium in Presence of Heat Absorption. i-manager’s Journal on Future Engineering and Technology, 14(4), 47-57. https://doi.org/10.26634/jfet.14.4.14712

References

[1]. Arthur, E. M., Seini, I. Y., & Bortteir, L. B. (2015). Analysis of Casson fluid flow over a vertical porous surface with chemical reaction in the presence of magnetic field. Journal of Applied mathematics and Physics, 3(06), 713- 723.

[2]. Balakrishna, S., Mohan, S. R., Reddy, G. V., & Varma, S. V. K. (2018). Effects of chemical reaction on unsteady MHD casson fluid flow past a moving infinite inclined plate through porous medium. International Journal of Engineering Science and Computing, 8(7), 18658-18666.

[3]. Balakrishna, S., Reddy, G. V., Mohan, S.R., & Varma, S. V. K. (2017). Viscous dissipation and heat source effects on free convective boundary layer slip flow in the presence of induced magnetic field. Applied Mathematics-Elixir International Journal, 105, 46051- 46062.

[4]. Das, M., Mahato, R., & Nandkeolyar, R. (2015). Newtonian heating effect on unsteady hydromagnetic Casson fluid flow past a flat plate with heat and mass transfer. Alexandria Engineering Journal, 54(4), 871-879.

[5]. Dash, R. K., Jayaraman, G., & Mehta, K. N. (2000). Shear augmented dispersion of a solute in a Casson fluid flowing in a conduit. Annals of Biomedical Engineering, 28(4), 373-385.

[6]. Hussanan, A., Salleh, M. Z., Tahar, R. M., & Khan, I. (2014). Unsteady boundary layer flow and heat transfer of a Casson fluid past an oscillating vertical plate with Newtonian heating. PloS one, 9(10), e108763.

[7]. Kirubhashankar, C. K., & Ganesh, S. (2014). Unsteady MHD flow of a Casson fluid in a parallel plate channel with heat and mass transfer of chemical reaction. Indian Journal of Research, 3(2), 101-105.

[8]. Kumar, A. G. V., Varma, S. V. K., & Mohan, R. (2012). Chemical reaction and radiation effects on MHD free convection flow past an exponentially accelerated vertical plate with variable temperature and variable mass diffusion. Annals Faculty Engineering Hunedoara- International Journal of Engineering, 10(2),195-202.

[9]. Masthanrao, S., Balamurugan, K. S., Varma, S. V. K., & Raju, V. C. C. (2013). Chemical reaction and hall effects on MHD convective flow along an infinite vertical porous plate with variable suction and heat absorption. Applications & Applied Mathematics, 8(1), pp. 268-288.

[10]. McGregor, J. L. (1970). The application of the minimal energy hypothesis to a casson fluid. The Bulletin of Mathematical Biophysics, 32(2), 249-262.

[11]. Mohan, S. R., Bhaskarudu. P.,Reddy. G. V, & Thajoddin, S. (2017a). Effects of induced magnetic fields on free convection viscous dissipative fluid flow past a moving an infinite inclined plate in the presence of heat source. International Journal of Trend in Research and Development, 4(3), 63-69.

[12]. Mohan, S. R., Reddy, G. V., Varma, S. V. K., & Krishna, S. B. (2017b). Thermal diffusion and TGHS effect on MHD viscous dissipative Kuvshinski fluid past an inclined plate through porous medium with thermal radiation and chemical reaction. i-manager's Journal on Mathematics, 6(1), 43-56.

[13]. Mohan, S. R., Reddy, G. V., Varma, S. V. K., & Krishna, S. B. (2017c). Chemical reaction and thermal radiation effect on unsteady MHD free convection flow past an inclined moving plate with TGHS. Imperial Journal of Interdisciplinary Research(IJIR),3(1),1510-1520.

[14]. Mohan, S. R., Reddy, G. V., Varma, S. V. K., & Krishna, S. B. (2017d). Thermal radiation and chemical reaction effects on unsteady MHD free convection flow of a viscous dissipative casson fluid past an exponentially infinite vertical plate through porous medium with TGHS. i- Manager's Journal on Mathematics, 6(2), 17-26.

[15]. Mohan, S. R., Reddy, G. V., & Balakrishna, S. (2018). An unsteady MHD free convection flow of casson fluid past an exponentially accelerated infinite vertical plate through porous media in the presence of thermal radiation, chemical reaction and heat source or sink. International Journal of Engineering and Techniques, 4(4), pp. 16-27

[16]. Mohan, S. R., Reddy, G. V., & Varma, S. V. K.(2019a). Dufour and radiation absorption effects on unsteady mhd free convection casson fluid flow past an exponentially infinite vertical plate through porous medium. Journal of Emerging Technologies and Innovative Research (JETIR), 6(2), 485-512.

[17]. Mohan, S. R., Reddy, G. V., & Varma, S. V. K.(2019b). Effects of chemical reaction and aligned magnetic field on unsteady MHD casson fluid flow past a moving an infinite plate through a porous medium in the presence of thermal radiation and heat absorption. International Journal of Advanced and Innovative Research, 8(1), 1-15.

[18]. Mohan, S. R., Reddy, G. V., & Varma, S. V. K. (2019c). Soret and aligned magnetic field effects on an unsteady MHD free convection casson fluid flow past an exponentially infinite vertical plate through porous medium in the presence of thermal radiation, chemical reaction and heat source or sink. Advanced Science, Engineering and Medicine, 11(5), 336-345.

[19]. Mukhopadhyay, S., & Vajravelu, K. (2013). Diffusion of chemically reactive species in Casson fluid flow over an unsteady permeable stretching surface. Journal of Hydrodynamics, Ser. B, 25(4), 591-598.

[20]. Ostrach, S. (1952). An analysis of laminar freeconvection flow and heat transfer about a flat plate parallel to the direction of the generating body force (No. NACA-TN-2635). National Aeronautics and Space Administration Cleveland Oh Lewis Research Center.

[21]. Pop, I., & Soundalgekar, V. M. (1980). Free Convection Flow past an Accelerated Vertical Infinite Plate. Zeitschrift für Angewandte Mathematik und Mechanik, 60(3), 167-168.

[22]. Prakash, J., Kumar, A. G. V., Bhanumathi, D., & Varma, S. V. K. (2012). Dufour effects on unsteady hydromagnetic radiative fluid flow past a vertical plate through porous medium. Open Journal of Fluid Dynamics, 2(04), 159-171.

[23]. Pushpalatha, K., Sugunamma, V., Reddy, J. R., & Sandeep, N. (2016). Heat and mass transfer in unsteady MHD Casson fluid flow with convective boundary conditions. International Journal of Advanced Science and Technology, 91, 19-38.

[24]. Raju, M. C., Reddy, S., & Reddy, E. (2016). Radiation absorption and chemical reaction effects on MHD flow of heat generating Casson fluid past oscillating vertical porous plate. Frontiers in Heat and Mass Transfer (FHMT), 7(21), 1-9.

[25]. Raptis, A., Singh, A. K., & Rai, K. D. (1987). The unsteady free convective flow through a porous medium adjacent to a semi-infinite vertical plate using finite difference scheme. Mechanics Research Communiation, 14, 9-16.

[26]. Reddy, M. G. (2015). Unsteady radiative-convective boundary-layer flow of a Casson fluid with variable thermal conductivity. Journal of Engineering Physics and Thermophysics, 88(1), 240-251.

[27]. Sakiadis, B. C. (1961). Boundary layer behavior on continuous solid surfaces: I. Boundary layer equations for two dimensional and axisymmetric flow. AIChE Journal, 7(1), 26-28.

[28]. Shehzad, S. A., Hayat, T., Qasim, M., & Asghar, S. (2013). Effects of mass transfer on MHD flow of Casson fluid with chemical reaction and suction. Brazilian Journal of Chemical Engineering, 30(1), 187-195.

[29]. Ullah, I., Khan, I., & Shafie, S. (2016). Hydromagnetic Falkner-Skan flow of Casson fluid past a moving wedge with heat transfer. Alexandria Engineering Journal, 55(3), 2139-2148.

[30]. Vijaya Kumar, A. G., Veeresh, C., Varma, S. V. K., Umamaheswar, M., & Raju, M. C. (2017). Joule heating and thermal diffusion effects on MHD radiative and convective Casson fluid flow past an oscillating semiinfinite vertical porous plate. Frontiers in Heat and Mass Transfer (FHMT), 8(1), 1-8.

[31]. Vijayaragavan, R. (2018). Heat and mass transfer in radiative casson fluid flow caused by a vertical plate with variable magnetic field effect. Journal of Global Research in Mathematical Archives (JGRMA), 5(4), 48-66.

[32]. Waqas, H., Rafique, S., Khalid, S., Hussain, S., & Ahamad, F. (2017). The influence of radiation on MHD slip flow and heat transfer of casson fluids due to shrinking sheet immersed in porous medium. Science International, 29(2), 453-457.

Effects of Chemical Reaction, Radiation and Aligned Magnetic Field on Unsteady MHD Casson Fluid Flow Past a Moving an Infinite Vertical Plate Through Porous Medium in Presence of Heat Absorption

Abstract

Keywords

How to Cite this Article?

References

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