Heat Transfer in MHD Flow of a Rotating Fluid with Soret and Radiation Effects: Exact Solution


(*) Corresponding author


Authors' affiliations


DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)

Abstract


This study investigates the analysis of heat and mass transfer during the magnetohydrodynamic (MHD) free convection flow over an impulsively started infinite vertical flat plate in the presence of thermal radiation and thermal diffusion (Soret effect) in a rotating viscous fluid. The fluid is considered gray, absorbing-emitting but non-scattering medium and the Rosseland approximation is used to describe the radiative heat flux. The problem is modelled in terms of partial differential equations with some physical conditions. Exact solution of the problem is obtained with the help of Laplace transform technique. They satisfy governing equations and all imposed initial and boundary conditions. The numerical results of fluid velocity, temperature, concentration, and skin friction, rate of heat transfer and rate of mass transfer at the plate are displayed through graphs and tables in order to see the effects of the various parameters entering into the problem. The results show that with increasing rotation parameter E primary velocity decreases whereas the absolute value of the secondary velocity increases.
Copyright © 2015 Praise Worthy Prize - All rights reserved.

Keywords


Soret Effect; MHD Flow; Free Convection; Heat and Mass; Rotating Fluid; Exact Solution

Full Text:

PDF


References


M. Jana, S.L. Maji, S. Das and R.N. Jana, Unsteady Flow of Viscous Fluid Through a Porous Medium Bounded by a Porous Plate in a Rotating System, Journal of Porous Media, 13 (2010) 645-653.
http://dx.doi.org/10.1615/jpormedia.v13.i7.60

A. Farhad, M. Norzieha, S. Sharidan, I. Khan and Samiulhaq, Hydromagnetic Rotating Flow in a Porous Medium with Slip Condition and Hall current, International Journal of Physical Sciences. 7 (2012) 1540-1548.
http://dx.doi.org/10.5897/ijps11.1767

S.N. Sahoo, J.P. Panda and G.C. Dash, Hydromagnetic Oscillatory Flow and Heat Transfer of a Viscous Liquid Past a Vertical Porous Plate in a Rotating Medium, Indian Journal of Science and Technology, 3 (2010) 817-821.

G.S. Seth, M.S. Ansari and R. Nandkeolyar, Unsteady Hydromagnetic Couette flow within porous plates in a rotating system, Advances in Applied Mathematics and Mechanics, 2 (2010) 286-302.

S. Chandrasekhar. Hydrodynamic and Hydromagnetic Stability, Oxford University Press, London (1961).
http://dx.doi.org/10.1017/s0022112062210592

K. Singh, Hydromagnetic Free Convection Flow Past an Impulsively Started Vertical Plate in a Rotating Fluid, International Communications in Heat and Mass Transfer, 11 (1983) 399-406.
http://dx.doi.org/10.1016/0735-1933(84)90068-x

R. Bestman and S. K. Adjepong, Unsteady Hydromagnetic Free Convection Flow with Radiative Heat Transfer in a Rotating Fluid, Astrophysics and Space Science, 143 (1988) 73-80.
http://dx.doi.org/10.1007/bf00636756

J. N. Singh, Sing and A. K. Sing, Transient Hydromagnetic Free Convection Flow Past an Impulsively Started Vertical Plate, Astrophysics and Space Science, 176 (1991) 97-104.
http://dx.doi.org/10.1007/bf00643080

R. M. Lahurikar, On Flow Past an Impulsively Started Infinite Vertical Isothermal Plate in a Rotating Fluid Solution, Bulletin of Malaysia Mathematical Society, 11 (2010) 41-49.

R. Vijayalakshmi, Radiation Effects on Free Convection Flow Past an Impulsively Started Vertical Plate in a Rotating Fluid, Journal of Theoretical and Applied Mechanics, 37 (2010) 79-95.
http://dx.doi.org/10.2298/tam1002079v

R. Vijayalakshmi and A.P.F. Kamalam, Free Convection Flow Past an Accelerated Vertical Plate with Thermal Radiation in a Rotating Fluid, International Journal of Pure & Applied Mathematical Sciences, 5 (2012) 43-51.

N. Nanousis, Thermal Diffusion Effects on MHD Free Convective and Mass Transfer Flow Past a Moving Infinite Vertical Plate in a Rotating Fluid. Astrophysics and Space Science, 191 (1992) 313-322.
http://dx.doi.org/10.1007/bf00644779

U. Mbeledoguand and A. Ogulu, Heat and Mass Transfer of an Unsteady MHD Natural Convection Flow of a Rotating Fluid Past a Vertical Porous Flat Plate in the Presence of Radiative Heat Transfer, International Journal of Heat and Mass Transfer, 50 (2007) 1902-1908.
http://dx.doi.org/10.1016/j.ijheatmasstransfer.2006.10.016

N. Ahmed, Soret and Radiation Effects on Transient MHD Free Convection from an Impulsively Started Infinite Vertical Plate, Journal of Heat Transfer, 134 (2012) 1-9.
http://dx.doi.org/10.1115/1.4005749


Refbacks

  • There are currently no refbacks.



Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2024 Praise Worthy Prize