| | | |

## entrRarefaction and Darcy effects on the hydromagnetic flow of radiating and reacting fluid in a vertical channelRarefaction and Darcy effects on the hydromagnetic flow of radiating and reacting fluid in a vertical channel

#### Khem CHAND [1] , Rakesh KUMAR [2] , Shavnam SHARMA [3]

An investigation of the combined influence of rarefaction and Darcy effects on the flow of oscillatory MHD viscous, incompressible, chemically reacting, and electrically conducting fluid in a vertical channel is carried out. The fluid is assumed to be gray and absorbing and emitting radiation but to be a nonscattering medium. The flow is assumed to be laminar and hydrodynamically and thermally fully developed. The Navier--Stokes, energy, and concentration equations, which are accompanied by appropriate velocity-slip and temperature-jump boundary conditions, are analytically solved. It is found that rarefaction effects significantly influence the flow and thermal fields such that mass flow and heat transfer rates are increased as compared to the continuum regime.
An investigation of the combined influence of rarefaction and Darcy effects on the flow of oscillatory MHD viscous, incompressible, chemically reacting, and electrically conducting fluid in a vertical channel is carried out. The fluid is assumed to be gray and absorbing and emitting radiation but to be a nonscattering medium. The flow is assumed to be laminar and hydrodynamically and thermally fully developed. The Navier--Stokes, energy, and concentration equations, which are accompanied by appropriate velocity-slip and temperature-jump boundary conditions, are analytically solved. It is found that rarefaction effects significantly influence the flow and thermal fields such that mass flow and heat transfer rates are increased as compared to the continuum regime.
• Aluwalia, R.K. and Doss, E.D., “Convective heat transfer in MHD channels and its influences on channel performance”, AIAA J. Energy, 4, 126–134, 1980.
• Bakier, A.Y. and Gorla, R.S.R., “Thermal radiation effect on mixed convection from horizontal surfaces in saturated porous media”, Transport in Porous Media, 23, 357–363, 1996.
• Bejan, A. and Kahir, R., “Heat and mass transfer by natural convection in a porous medium”, Int. J. Heat Mass Transfer, 28, 909–918, 1985.
• Chand, K. and Sharma, S., “Hydromagnetic oscillatory flow through a porous channel in the presences of Hall current with variable suction and permeability”, International Journal of Stastistika and Mathematika, 3, 70–76, 2012.
• Chauhan, D.S. and Jain, R., “Three dimensional MHD steady flow of a viscous incompressible fluid over a highly porous layer ′′ , Modelling, Measurement and Control- B, 74, 19–34, 2005.
• Cogley, A.C., Vincenti, W.G. and Gilles, S.E., “Differential approximation for radiative transfer in a non gray fluid near equilibrium”, American Institute of Aeronautics and Astronautics, 6, 551–553, 1968.
• Colin, S., “Gas micro-flows in the slip flow regime: A critical review on convective heat transfer”, Journal of Heat Transfer, 134, 020908 (1–13), 2012.
• Cooper, W.L., Nee, V.W. and Yang, K.T., “Fluid mechanics of oscillatory and modulated flows and associated applications in heat and mass transfer—a review”, Journal of Energy, Heat and Mass Transfer, 15, 1–19, 1993.
• Derek, C., Tretheway, D.C. and Mainhart, C.D., “Apparent fluid slip at hydrophobic micro channel walls, Physics of the Fluids, 14, L9–L12, 2002.
• Hayat, T., Javed, M. and Ali, N., “MHD peristaltic transport of a Jeffery fluid in a channel with compliant walls and porous space”, Transport in Porous Media, 74, 259–274, 2008.
• Hossain, M.A. and Takhar, H.S., “Radiation effects on mixed convection along a vertical plate with uniform surface temperature”, Heat and Mass Transfer, 31, 243–248, 1996.
• Kandasamy, R. Muhaimin, I. and Khamis, A.B., “Thermophoresis and variable viscosity effects on MHD mixed convective heat and mass transfer past a porous wedge in the presences of chemical reaction”, Heat Mass Transfer, 45, 703–712, 2009.
• Khaled, A.R.A. and Vafai, K., “The effect of the slip conditions on Stokes and Couette flows due to an oscillating wall: exact solutions”, Int. J. of Non-linear Mech., 39, 795–809, 2004.
• Lai, F.C. and Kulacki, A., “Coupled heat and mass transfer by natural convection from vertical surface in porous media”, Int. J. Heat Mass Transfer, 34, 1189–1194, 1991.
• Mehmood, A. and Ali, A., “The effect of slip condition on unsteady MHD oscillatory flow of a viscous fluid in a planer channel”, Rom. J. Phys., 52, 85–91, 2007.
• Mohammed, A.R. “Doubled diffusive convection radiation interaction on unsteady MHD flow over a vertical moving porous plate with heat generation and covet effect”, Applied Mathematical Sciences, 2, 629–650, 2009.
• Murti, A.S.N., Kemaswara, P.K. and Porna, T.K., “Radiation, chemical reaction double dispersion effects on heat and mass transfer in non-Newtonian fluids”, International Journal of Engineering, 4, 243–254, 2005.
• Muthucumraswamy, R., “Chemical reaction effects on vertical oscillating plate with variable temperature”, Chemical Industry and Engineering Quarterly, 16, 167–173, 2010.
• Navier, C.L.M.H., Mem. Acad. Sci. Inst. France, 1, 414–416, 1823.
• Singh, K.D. and Garg, B.P., “Radiative heat transfer in MHD oscillatory flow through porous medium bounded by two vertical porous plates”, Bulletin of Calcutta Mathematical Society, 102, 129–138, 2010.
• Soltani, F. and Yilmazer, U., “Slip velocity and slip layer thickness in flow of concentrated suspensions”, Journal of Applied Polymer Science, 70, 515–522, 1998.
• Street, R.E. A study of boundary conditions in slip flow aerodynamics. In: Rarefied Gas Dynamics (F.M. Devienne, ed.) Pergamon, London, 1960.
• Yu, S. and Ameel, T.A., “Slip-flow heat transfer in rectangular micro-channels”, Int. J. Heat Mass Trans., 44, 4225–4234, 200
Primary Language tr Articles Author: Khem CHAND Author: Rakesh KUMAR Author: Shavnam SHARMA Publication Date : February 1, 2013
 Bibtex @ { tbtkengineering144898, journal = {Turkish Journal of Engineering and Environmental Sciences}, issn = {1300-0160}, eissn = {1303-6157}, address = {}, publisher = {TUBITAK}, year = {2013}, volume = {37}, pages = {137 - 145}, doi = {10.3906/muh-1204-7}, title = {Rarefaction and Darcy effects on the hydromagnetic flow of radiating and reacting fluid in a vertical channel}, key = {cite}, author = {CHAND, Khem and KUMAR, Rakesh and SHARMA, Shavnam} } APA CHAND, K , KUMAR, R , SHARMA, S . (2013). Rarefaction and Darcy effects on the hydromagnetic flow of radiating and reacting fluid in a vertical channel. Turkish Journal of Engineering and Environmental Sciences , 37 (2) , 137-145 . DOI: 10.3906/muh-1204-7 MLA CHAND, K , KUMAR, R , SHARMA, S . "Rarefaction and Darcy effects on the hydromagnetic flow of radiating and reacting fluid in a vertical channel". Turkish Journal of Engineering and Environmental Sciences 37 (2013 ): 137-145 Chicago CHAND, K , KUMAR, R , SHARMA, S . "Rarefaction and Darcy effects on the hydromagnetic flow of radiating and reacting fluid in a vertical channel". Turkish Journal of Engineering and Environmental Sciences 37 (2013 ): 137-145 RIS TY - JOUR T1 - Rarefaction and Darcy effects on the hydromagnetic flow of radiating and reacting fluid in a vertical channel AU - Khem CHAND , Rakesh KUMAR , Shavnam SHARMA Y1 - 2013 PY - 2013 N1 - doi: 10.3906/muh-1204-7 DO - 10.3906/muh-1204-7 T2 - Turkish Journal of Engineering and Environmental Sciences JF - Journal JO - JOR SP - 137 EP - 145 VL - 37 IS - 2 SN - 1300-0160-1303-6157 M3 - doi: 10.3906/muh-1204-7 UR - https://doi.org/10.3906/muh-1204-7 Y2 - 2020 ER - EndNote %0 Turkish Journal of Engineering and Environmental Sciences Rarefaction and Darcy effects on the hydromagnetic flow of radiating and reacting fluid in a vertical channel %A Khem CHAND , Rakesh KUMAR , Shavnam SHARMA %T Rarefaction and Darcy effects on the hydromagnetic flow of radiating and reacting fluid in a vertical channel %D 2013 %J Turkish Journal of Engineering and Environmental Sciences %P 1300-0160-1303-6157 %V 37 %N 2 %R doi: 10.3906/muh-1204-7 %U 10.3906/muh-1204-7 ISNAD CHAND, Khem , KUMAR, Rakesh , SHARMA, Shavnam . "Rarefaction and Darcy effects on the hydromagnetic flow of radiating and reacting fluid in a vertical channel". Turkish Journal of Engineering and Environmental Sciences 37 / 2 (February 2013): 137-145 . https://doi.org/10.3906/muh-1204-7 AMA CHAND K , KUMAR R , SHARMA S . Rarefaction and Darcy effects on the hydromagnetic flow of radiating and reacting fluid in a vertical channel. Turkish Journal of Engineering and Environmental Sciences. 2013; 37(2): 137-145. Vancouver CHAND K , KUMAR R , SHARMA S . Rarefaction and Darcy effects on the hydromagnetic flow of radiating and reacting fluid in a vertical channel. Turkish Journal of Engineering and Environmental Sciences. 2013; 37(2): 145-137.

Authors of the Article
[1]
[2]
[3]