Contact Us

For Marketing, Sales and Subscriptions Inquiries
2637 E Atlantic Blvd #43110
Pompano Beach, FL 33062
USA

Conference List

Review of Advances in Physics Theories and Applications

December 2014, Volume 1, 2, pp 48-62

Unsteady MHD Free Convection Boundary Layer Flow of Radiation Absorbing Kuvshinski Fluid through Porous Medium

B. Vidya Sagar

,

M.C. Raju

,

S.V.K. Varma

,

S. Venkataramana

B. Vidya Sagar 1 M.C. Raju 2
S.V.K. Varma 1 S. Venkataramana 1 

  1. Department of Mathematics, Sri Venkateswara University, Tirupati, A.P, India 1

  2. Department of Humanities and Sciences, Annamacharya Institute of Technology and Sciences, Rajampet (Autonomous), A.P, India 2

Pages: 48-62

DOI: 10.18488/journal.75/2014.1.2/75.2.48.62

Share :


Abstract:

An analytical study is carried out for an unsteady MHD two dimensional free convection flow of a viscous, incompressible, radiating, chemically reacting and radiation absorbing Kuvshinski fluid through a porous medium past a semi-infinite vertical plate. The dimensionless equations governing the flow are solved by simple perturbation technique. The expressions for velocity, temperature and concentration are derived. The influence of various material parameters on flow quantities are studied and discussed with the help of graphs. The expressions for Skin friction, Nusselt number and Sherwood number are also derived and discussed numerically. Temperature increases with an increase in radiation parameter and radiation absorption parameter where as it decreases with an increase in Prandtl number. Concentration is observed to be decreased when chemical reaction parameter and Schmidt number increase.
Contribution/ Originality
This study contributes in the existing literature of Newtonian fluids. Most of the practical problems involve non-Newtonian fluids type. This study uses new estimation methodology of analyzing the heat transfer characteristics of non-Newtonian fluid. This study originates new formula of solving nonlinear governing equations using perturbation method. This study is one of very few studies which have investigated on the heat and mass transfer characteristics of a well-known non-Newtonian fluid Kuvshinski fluid in the presence of uniform magnetic field. The paper’s primary contribution is finding that effects of various physical parameters on the flow quantities. This study documents a well-known non Newtonian fluid namely Kuvshinski fluid in the presence of thermal radiation, radiation absorption and chemical reaction of first order. 

Keywords:


Reference:

  1. E. M. Abo Eldahab and M. S. E. Gendy, "Radiation effects on convective heat transfer in an electrically conducting fluid at a stretching surface with variable viscosity and uniform free-stream," Physica Scripta, vol. 62, pp. 321-325, 2000.
  2. E. M. Abo Eldahab and M. S. E. Gendy, "Convective heat transfer past a continuously moving plate embedded in a non-darcian porous medium in the presence of a magnetic field," Canadian Journal of Physics, vol. 97, pp. 1031-1038, 2001.
  3. O. A. Beg, J. Zueco, R. Bhargava, and H. S. Jakhar, "Magneto hydrodynamic convection flow from a sphere to a non-darcian porous medium with heat generation or absorption effects network simulation," International Journal of Thermal Sciences, vol. 48, pp. 1813-1830, 2009.
  4. A. J. Chamkha, "Unsteady MHD convective heat and mass transfer past a semi-infinite vertical permeable moving plate with heat absorption," International Journal of Engineering Science, vol. 42, pp. 217-230, 2004.
  5. R. S. Cortell, "Viscous dissipation and thermal radiation effects on the flow and heat transfer of a power-law fluid past an Infinite porous plate," Chem. Eng Res Des., vol. 04, p. 17. DOI. 10.1016/J.cherd., 2010.
  6. S. Shateyi, P. Sibanda, and S. S. Motsa, "Magneto hydrodynamic flow past a vertical plate with radiative heat transfer," Journal of Heat Transfer, vol. 129, pp. 1708-1714, 2007.
  7. V. M. Soudalgekar, "Viscous dissipation effects on unsteady free convective flow past an Infinite vertical porous plate with constant suction," International Journal of Heat and Mass Transfer, vol. 15, pp. 1253-1263, 1972.
  8. S. P. Anjalidevi and R. Kandaswamy, "Effects of chemical reaction, heat and mass transfer on laminar flow along a semi-infinite horizontal plate," Heat and Mass Transfer., vol. 35, pp. 465-467, 1999.
  9. U. N. Das, R. K. Deka, and V. M. Souderlgekar, "Effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction," Forschung im Imgenieurwesen, vol. 60, pp. 284-287, 1994.
  10. F. S. Ibrahim, A. M. Elaiw, and A. A. Bakar, "Effects of the chemical reaction and radiation absorption on the unsteady MHD free convection flow past a semi- infinite vertical permeable moving plate with heat source and suction," Communications in Non-Linear Science and Numerical Simulation, vol. 13, pp. 1056-1066, 2008.
  11. R. Kandaswamy, B. Wahib, Md Raj, and B. K. Azme, "Effects of chemical reaction, heat and mass transfer in boundary layer flow over a porous wedge with heat radiation in presence of suction or injection," Theatrical Applied Mechanics Belgrade, vol. 33, pp. 123-148, 2006.
  12. R. Kandaswamy, K. Periaswamy, and P. K. Sivagnana, "Chemical reaction, heat and mass transfer along a wedge with heat source and concentration in the presence of suction or injection," International Journal of Heat and Mass Transfer., vol. 48, pp. 1388-1394, 2005.
  13. A. Mahdy, "Effect of chemical reaction and heat generation or absorption on double-diffusive convection from a vertical truncated cone in a porous media with variable viscosity," International Communications in Heat And Mass Transfer., vol. 37, pp. 548-554, 2010.
  14. R. Muthucumarswamy and P. Ganesan, "Diffusion and first order chemical reaction on impulsively started infinite vertical plate with variable temperature," International Journal of Thermal Sciences, vol. 41, pp. 475-479, 2002.
  15. R. Muthucumarswamy, "Chemical reaction effects on vertical oscillating plate with variable temperature," Chemical Industry and Chemical Engineering Quarterly, vol. 16, pp. 167-173, 2002.
  16. P. M. Patil and P. S. Kulkarni, "Effects of chemical reaction on free convective flow of a polar fluid through a porous medium in the presence of internal heat generation," International Journal of Thermal Sciences, vol. 47, pp. 1043-1054, 2008.
  17. M. C. Raju, S. V. K. Varma, and R. R. K. Rao, "Unsteady MHD free convection and chemically reactive flow past an infinite vertical porous plate," Journal of Future Engineering and Technology, vol. 8, pp. 35-40, 2013.
  18. M. C. Raju, S. V. K. Varma, and N. A. Reddy, "Radiation and mass transfer effects on a free convection flow through a porous medium bounded by a vertical surface," Journal of Future Engineering and Technology, vol. 7, pp. 7-12, 2012.
  19. V. Ravikumar, M. C. Raju, and G. S. S. Raju, "Combined effects of heat absorption and MHD on convective rivlin-ericksen flow past a semi-infinite vertical porous plate," Ain Shams Engineering Journal, vol. 5, pp. 867-875, 2014.
  20. T. S. Reddy, M. C. Raju, and S. V. K. Varma, "Chemical reaction and radiation effects on unsteady MHD free convection flow near a moving vertical plate," Journal on Future Engineering & Technology, vol. 7, pp. 11-20 2012.
  21. T. S. Reddy, M. C. Raju, and S. V. K. Varma, "Unsteady MHD radiative and chemically reactive free convection flow near a moving vertical plate in porous medium," JAFM, vol. 6, pp. 443-451, 2013.
  22. M. A. Saleh, A. A. B. Mohamed, and S. E. G. Mohmoud, "Heat and mass transfer in MHD visco-elastic fluid flow through a porous medium over a stretching sheet with chemical reaction," Applied Mathematics, vol. 1, pp. 446-455, 2010.
  23. M. A. Seddeek, A. A. Darwish, and M. S. ABdelmeguid, "Effects of chemical reaction and variable viscosity on hydromagnetic mixed convection heat and mass transfer for hiemenz flow through porous media with radiation," Commun Nonlinear Sci.Numer, Simulat, vol. 15, pp. 195-213, 2007.
  24. M. A. Seddek, A. A. Darwish, and Abdelmeguid, "Effects of chemical reaction and variable viscosity on hydro magnetic mixed convection heat and mass transfer for hiemenz flow through porous media with radiation," Communications in Non-Linear Science and Numerical Simulation, vol. 12, pp. 401-408, 2007.
  25. M. Umamaheswar, S. V. K. Varma, and M. C. Raju, "Unsteady MHD free convective visco-elastic fluid flow bounded by an infinite inclined porous plate in the presence of heat source, viscous dissipation and ohmic heating," International Journal of Advanced Science and Technology, vol. 61, pp. 39-52, 2013.
  26. O. Prakash, D. Kumar, and Y. K. Dwivedi, "MHD free convection flow of a visco-elastic (Kuvshiniski Type) dusty gas through a semi-infinite plate moving with velocity decreasing exponentially with time and radiative heat transfer," AIP Advances, vol. 1, pp. 022-132. DOI: http://dx.doi.org/10.1063/1.3599414, 2011.
  27. D. C. Kesavaiah, P. V. Satyanarayana, and S. Venkataramana, "Effects of the chemical reaction and radiation absorption on an unsteady MHD convective heat and mass transfer flow past a semi-infinite vertical permeable moving plate embedded in a porous medium with heat source and suction," Int. J. of Appl. Math and Mech., vol. 7, pp. 52-69, 2011.
  28. M. Sudheer Babu and P. V. Satya Narayana, "Effects of the chemical reaction and radiation absorption on free convection flow through porous medium with variable suction in the presence of uniform magnetic field," JP Journal of Heat and Mass Transfer, vol. 3, pp. 219-234, 2009.
  29. B. Venkateswarlu and P. V. Satya Narayana, "Chemical reaction and radiation absorption effects on the flow and heat transfer of a nanofluid in a rotating system," Applied Nanoscience, pp. 1-10, 2014.

Statistics:

Google Scholor ideas Microsoft Academic Search bing Google Scholor

Funding:

Competing Interests:

Acknowledgement:


Related Article