Thermal Diffusion and Radiation Effects on Magnetocasson Fluid Flow Past A Vertical Porous Plate

K. Venkateswara Raju*, M. C. Raju**, V. Ravi Kumar***, G. S. S. Raju****
* Assistant Professor, Department of Mathematics, Sree Vidyanikethan Engineering College (Autonomous), A. Rangampet, Tirupati, Andhra Pradesh, India.
** Coordinator Research and Development, Department of Mathematics, Annamacharya Institute of Technology and Sciences (Autonomous), Rajampet, , Andhra Pradesh, India.
*** Assistant Professor, Department of Mathematics, Annamacharya Institute of Technology and Sciences (Autonomous), Rajampet, Andhra Pradesh, India.
****The Professor and Head, Department of Mathematics, JNTU College of Engineering (Autonomous), Pulivendula, Kadapa (Dt), Andhra Pradesh, India.
Periodicity:April - June'2018
DOI : https://doi.org/10.26634/jmat.7.2.14680

Abstract

In this manuscript thermal diffusion and radiation effects on magneto-Casson fluid flow past a vertical porous plate with chemical reaction is studied. The non-dimensional governing equations for momentum, energy and concentration equations have been solved by using perturbation techniques. The expressions for skin friction, Nusselt number and Sherwood number are also obtained. The effects of various physical parameters like chemical reaction parameter, Casson parameter, magnetic parameter, radiation parameter, Soret number, Schmidt number, Grashof number, Prandtl number, and modified Grashof number have been discussed in detailed through graphs and tables.

Keywords

Casson Fluid, Magnetic Parameter, Radiation Parameter, Soret Number, Chemical Reaction Parameter, Perturbation Method.

How to Cite this Article?

Raju. K.V., Raju, M.C., Kumar. V.R., and Raju. G.S.S. (2018). Thermal Diffusion and Radiation Effects on Magnetocasson Fluid Flow Past A Vertical Porous Plate. i-manager’s Journal on Mathematics, 7(2), 32-46. https://doi.org/10.26634/jmat.7.2.14680

References

[1]. Ahmed, N., & Sarmah, H. K. (2009). Thermal radiation effect on a transient MHD flow with mass transfer past an impulsively fixed infinite vertical plate. Int. J. Appl. Math. Mech., 5(5), 87-98.
[2]. Bhattacharyya, K., & Layek, G. C. (2011). Effects of suction/blowing on steady boundary layer stagnation-point flow and heat transfer towards a shrinking sheet with thermal radiation. International Journal of Heat and Mass Transfer, 54(1-3), 302- 307.
[3]. Dash, R. K., Mehta, K. N., & Jayaraman, G. (1996). Casson fluid flow in a pipe filled with a homogeneous porous medium. International Journal of Engineering Science, 34(10), 1145-1156.
[4]. Jain, N. C., & Singh, H. (2012). Hall and thermal radiative effects on an unsteady rotating free convection slip flow along a porous vertical moving plate. International Journal of Applied Mechanics and Engineering, 17(1), 53-70.
[5]. Kumar, B. R., Kumar, T. S., & Kumar, A. G. V. (2015). Thermal diffusion and radiation effects on unsteady free convection flow in the presence of magnetic field fixed relative to the fluid or to the plate, Frontier in Heat and Mass Transfer, 6 (12), 1-9.
[6]. Kumar, V. R., Raj, M. C., Raju, G. S. S., & Varma, S. V. K. (2016). Thermal diffusive free convective radiating flow over an impulsively started vertical porous plate in conducting field. Journal of Physical Mathematics, 7(1), 1-8.
[7]. Kumar, V. R., Raju, M. C, Raju, G. S. S Varma, S. V. K. (2013). Magnetic field effects on transient free convection flow through porous medium past an impulsively started vertically plate with fluctuating temperature and mass diffusion, International Journal of Mathematical Archive, 4(6), 198-206.
[8]. Mustafa, M., Hayat, T., Pop, I., & Aziz, A. (2011). Unsteady boundary layer flow of a Casson fluid due to an impulsively started moving flat plate. Heat Transfer-Asian Research, 40(6), 563-576.
[9]. Oyelakin, I. S., Mondal, S., & Sibanda, P. (2016). Unsteady Casson non-fluid flow over a stretching sheet with thermal radiation, convective, and slip boundary conditions. Alexandria Engineering Journal, 55(2), 1025-1035.
[10]. Prakash, J., Balamurugan, K. S., & Varma, S. V. (2014). Thermo-diffusion and chemical reaction effects on MHD three dimensional free convective Couette flow. Walailak Journal of Science and Technology (WJST), 12(9), 805-830.
[11]. Raju, K. V. S., Reddy, T. S., Raju, M. C., Narayana, P. S., & Venkataramana, S. (2014). MHD convective flow through porous medium in a horizontal channel with insulated and impermeable bottom wall in the presence of viscous dissipation and Joule heating. Ain Shams Engineering Journal, 5(2), 543-551.
[12]. Raju, R. S., Reddy, G. J., Rao, J. A., & Rashidi, M. M. (2016). Thermal diffusion and diffusion thermo effects on an unsteady heat and mass transfer magneto hydrodynamic natural convection Couette flow using FEM. Journal of Computational Design and Engineering, 3(4), 349-362.
[13]. Raju, R. S., Sudhakar, K., & Rangamma, M. (2013). The effects of thermal radiation and Heat source on an unsteady MHD free convection flow past an infinite vertical plate with thermal diffusion and diffusion thermo. Journal of The Institutionof Engineers (India): Series C, 94(2), 175-186.
[14]. Rashidi, M. M., Hayat, T., Erfani, E., Pour, S. M., & Hendi, A. A. (2011). Simultaneous effects of partial slip and thermaldiffusion and diffusion-thermo on steady MHD convective flow due to a rotating disk. Communications in Nonlinear Science and Numerical Simulation, 16(11), 4303-4317.
[15]. Ravikumar, V., Raju, M. C., & Raju, G. S. S. (2014). Combined effects of heat absorption and MHD on convective Rivlin- Ericksen flow past a semi-infinite vertical porous plate with variable temperature and suction. Ain Shams Engineering Journal, 5(3), 867-875.
[16]. Ravikumar, V., Raju, M. C., & Raju, G. S. S. (2015). Theoretical investigation of an unsteady MHD free convection heat and mass transfer flow of a non-Newtonian fluid flow past a permeable moving vertical plate in the presence of thermal diffusion and heat sink. In International Journal of Engineering Research in Africa (Vol. 16, pp. 90-109). Trans Tech Publications.
[17]. Reddy, B. M. G. V., & Raju, M. C. (2015). Thermal diffusion and radiation effects on MHD convective chemically reactive dusty fluid-flow past a vertical porous plate with heat absorption. Elixir Appl. Math. (Elixir International Journal), 88, 36320- 36327.
[18]. Reddy, N. A., Varma, S. V. K., & Raju, M. C. (2010). Thermo diffusion and chemical effects with simultaneous thermal and mass diffusion in MHD mixed convection flow with ohmic heating. Journal of Naval Architecture and Marine Engineering, 6(2), 84-93.
[19]. Reddy, G. J., Raju, R. S., Manideep, P., & Rao, J. O. (2016). Thermal diffusion thermo effects on unsteady MHD fluid flow past a moving vertical plate embedded in porous medium in the presence of hall current and rotating system. Transaction of A. Razmadze Mathematical Institute, 170(2), 243-265.
[20]. Seddeek, M. A. (2004). Thermal-diffusion and diffusion-thermo effects on mixed free-forced convective flow and mass transfer over an accelerating surface with a heat source in the presence of suction and blowing in the case of variable viscosity. Acta Mechanica, 172(1-2), 83-94.
[21]. Sharma, P. K. (2005). Fluctuating thermal and mass diffusion on unsteady free convection flow past a vertical plate in slip-flow regime. Latin American Applied Research, 35(4), 313-319.
[22]. 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.
[23]. Shivaiah. S. & Rao. J. A. (2012). On an unsteady MHD free convection flow past a vertical porous plate in the presence of suction or injection. Theoret. Appl. Mech., 39, (2), 185-208.
[24]. Srinivas, S., Reddy, A. S., Ramamohan, T. R., & Shukla, A. K. (2016). Thermal-diffusion and diffusion-thermo effects on MHD flow of viscous fluid between expanding or contracting rotating porous disks with viscous dissipation. Journal of the Egyptian Mathematical Society, 24(1), 100-107.
If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
USD EUR INR USD-ROW
Pdf 35 35 200 20
Online 35 35 200 15
Pdf & Online 35 35 400 25

Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.