Abstract
This paper deals with heat and mass transfer in the magnetohydrodynamic flow of a visco-elastic fluid in a rotating porous channel with radiative heat. The flow phenomenon has been characterized by the fluid parameters like Hartmann number (Μ), rotation parameter (Ω), Reynolds number (λ), thermal Grashof number (G r ), mass diffusion Grashof number (G c ), non-Newtonian parameter (R c ), Prandtl number (P r ), Schmidt number (S c ), Radiative heat (R) and the permeability parameter (K p ). Introducing complex variable terms in the expansion of velocity function, temperature function and concentration function, solutions of the corresponding equations have been obtained. It is revealed from the characteristic profiles that the steady flow velocity rises with the G r and G c both. Increase in radiation parameter lowers the secondary flow velocity (f 1). The rise in the external magnetic field strength reduces the secondary flow velocity (f 2).
Similar content being viewed by others
References
Attia HA, Kotb NA (1996) MHD flow between two parallel plates with heat transfer. Acta Mech 117:215–220
Nanda RS, Mohanty HK (1970) Hydromagnetic rotating channel flows. Appl Sci Res 24:65–75
Abdelkhalek MM (2008) Radiation and dissipation effect on unsteady MHD micro-polar flow past an infinite vertical plate in porous medium with time dependent suction. Indian J Phys 82:415–434
Muthucumaraswamy R, Kulandaivel T (2008) Radiation effects on moving vertical plate with variable temperature and uniform mass diffusion. J Energy Heat Mass Transf 30:79–80
Singh KD, Mathew A (2008) Injection/suction effect on an oscillatory hydromagnetic flow in a rotating horizontal porous channel. Indian J Phys 82:435–445
Hossain MA, Mohammad K (1988) Effect of Hall current on hydromagnetic free convection flow near an accelerated porous plate. Jpn J Appl Phys 27:1531–1535
Acharya M, Dash GC, Singh LP (2000) Magnetic field effects on the free convection and mass transfer flow through porous medium with constant suction and constant heat flux. Indian J Pure Appl Math 31:1–18
Dash GC, Rath PK (2002) Effect of Hall current on hydromagnetic free convection flow near an exponentially accelerated porous plate with mass transfer. AMSE Model Meas Control 71:45–60
Acharya M, Singh LP, Dash GC (2006) Non-parallel vortex instability of natural convection flow over a non-isothermal inclined flat plate with simultaneous thermal and mass diffusion. Indian J Phys 80:989–1004
Guria M, Jana RN, Ghosh SK, Pop I (2009) Three dimensional free convection flow in a vertical channel filled with a porous medium. J Porous Media 12:985–995
Dash GC, Rath PK, Kar M (2011) Free convection MHD flow through porous media of a rotating Oldroyd fluid past an infinite vertical porous plate with heat and mass transfer. Proc Natl Acad Sci India 81A:223–230
Singh KD, Garg BP (2011) Exact solution of an oscillatory free convective MHD flow in a rotating porous channel with radiative heat. Proc Natl Acad Sci India 80A:81–90
Biswal S, Pattnaik BK (1999) MHD coquette flow in Oldroyd liquid: a case study. Proc Natl Acad Sci India 69A:77–87
Biswal S, Ray GS, Mishra AP (1999) Mass transfer effects on oscillatory hydromagnetic free convective flow past an infinite vertical porous flat plate with Hall current. Proc Natl Acad Sci India 69A:369–375
Biswal S, Sahoo PK (1999) Hall effect on hydromagnetic free convection flow with mass transfer in a porous vertical channel. Proc Natl Acad Sci India 69A:45–57
Dash S, Dash GC, Mishra DP (2008) MHD flow through a porous medium past a stretched vertical permeable surface in the presence of heat source/sink and a chemical reaction. Proc Natl Acad Sci India 78A:49–55
Kumari M, Nath G (2008) Transient MHD mixed convection from a vertical surface moved impulsively from rest. Proc Natl Acad Sci India 78A:67–74
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Jena, M., Goswami, M. & Biswal, S. Heat and Mass Transfer in the MHD Flow of a Visco-elastic Fluid in a Rotating Porous Channel with Radiative Heat. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 84, 527–534 (2014). https://doi.org/10.1007/s40010-014-0158-0
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40010-014-0158-0