Unsteady MHD thermal diffusive and radiative fluid flow past a vertical porous plate with chemical reaction in slip flow regime

• Autorzy: Ravi Kumar D. , Jayarami Reddy K. , Raju M. C.

Identyfikatory

DOI

10.2478/ijame-2019-0008

• Języki publikacji: EN

Abstrakty

EN

An analytical solution of an MHD free convective thermal diffusive flow of a viscous, incompressible, electrically conducting and heat-absorbing fluid past a infinite vertical permeable porous plate in the presence of radiation and chemical reaction is presented. The flow is considered under the influence of a magnetic field applied normal to the flow. The plate is assumed to move with a constant velocity in the direction of fluid flow in slip flow regime, while free stream velocity is assumed to follow the exponentially increasing small perturbation law. The velocity, temperature, concentration, skin friction, Nusselt number and Sherwood number distributions are derived and have shown through graphs and tables by using the simple perturbation technique.

Słowa kluczowe

EN

MHD; free convection; heat and mass transfer; slip flow regime; thermal diffusion; radiation; chemical reaction

PL

swobodna konwekcja; magnetohydrodynamika; przenoszenie ciepła; dyfuzja termiczna; promieniowanie; reakcja chemiczna; poślizg

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2019
• Tom: Vol. 24, no. 1
• Strony: 117--129
• Opis fizyczny: Bibliogr. 26 poz., wykr.

Twórcy

autor

Ravi Kumar D.

• Research Scholar, Department of Mathematics, Rayalaseema Univesity Kurnool-518002, A.P., INDIA

autor

Jayarami Reddy K.

• Department of Mathematics, K.L. University Vaddeswaram, Guntur-522502, A.P. INDIA

autor

Raju M. C.

• Department of Mathematics JNTUA College of Engineering Pulivendula Pulivendula -516 390 A.P. INDIA

Bibliografia

• [1] Chamkha A.J. (2000): Hydro-magnetic combined heat and mass transfer by natural convection from a permeable surface embedded in a fluid saturated porous medium. Int. J. Num. Methods for Heat and Fluid Flow, vol.10, No.5, pp.455-476.
• [2] Chamkha A.J. and Khaled A.R. (2000): Hydro-magnetic combined heat and mass transfer by natural convection from a permeable surface embedded in fluid saturated porous medium. International Journal of Numerical Methods for Heat and Fluid Flow, vol.10, No.5, pp.455-476.
• [3] Chamkha A.J. (2003): MHD flow of a uniformly stretched vertical permeable surface in the presence of heat generation/absorption and a chemical reaction. Int. Commun. Heat Mass Transfer, vol.30, No.3, pp.413-422.
• [4] Kandasamy R., Periasamy K. and Prabhu K.K.S. (2005): Chemical reaction, heat and mass transfer on MHD flow over a vertical stretching surface with heat source and thermal stratification effects. Int. J. Heat Mass Transfer, vol.48, pp.4557–4561.
• [5] Postelnicu A. (2007): Influence of chemical reaction on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects. Heat and Mass Transfer, vol.43.
• [6] Hossain A.M., Alim M.A. and Rees D.A.S. (1999): Effect of radiation on free convection from a porous a vertical plate. International Journal of Heat and Mass Transfer, vol.42, pp.181-191.
• [7] Ibrahim F.S., Elaiw A.M. and Bakr A.A. (2008): Effect 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. Comm. Nonlinear Sci. Numer. Simul., vol.13, No.6, pp.1056–1066.
• [8] Sharma P.K. and Chaudary R.C. (2003): Effect of variable suction on transient free convection viscous incompressible flow past a vertical plate with periodic temperature variations in slip-flow regime. Emirates J. Engineering Research, vol.8, pp.33-38.
• [9] Sharma P.K. (2005): Fluctuating thermal and mass diffusion on unsteady free convective flow past a vertical plate in slip-flow regime. Latin American Applied Research, vol.35, pp.313-319.
• [10] Pal D. and Talukdar B. (2009): Perturbation analysis of unsteady magneto hydrodynamic convective heat and mass transfer in a boundary layer slip flow past a vertical permeable plate with thermal radiation and chemical reaction. Communications in Nonlinear Science and Numerical Simulation, In Press, Corrected Proof, Available online 17 July 2009.
• [11] Kumar K., Varshney M. and Varshney C.L. (1987): Elastic-viscous stratified fluctuating Hartmann flow through a porous medium past an infinite rigid plane in slip regime. JMACT, vol.20, pp.65-71.
• [12] Muthukumaraswamy R. and Kumar G.S. (2004): Heat and mass transfer effects on moving vertical plate in the presence of thermal radiation. Theoret. Appl. Mach., vol.31, No.1, pp.35-46.
• [13] Gupta M. and Sharma S. (1991): MHD flow of viscous fluid through a porous medium bounded by an oscillating porous plate in slip flow regime. Acta Ciencia Indica, vol.17M, pp.389-394.
• [14] Singh Atul Kumar, Singh N.P. and Singh R.V. (2000): MHD Flow of a dusty visco-elastic liquid (Rivlin-Ericksen) through a porous medium bounded by an oscillating porous plate in slip flow regime. The Math. Edu., vol.34, pp.53-55.
• [15] Singh N.P., Singh R.V. and Singh Atul Kumar (1998): Flow of a dusty visco-elastic fluid through a porous medium near an oscillating porous plate in slip flow regime. JMACT, vol.31, pp.99-108.
• [16] Singh N.P., Singh R.V. and Singh Atul Kumar (1999): Flow of a visco-elastic fluid through a porous medium near an oscillating plate in slip flow regime in the presence of electromagnetic field. Ind. J. Theo. Phys., vol.47, pp.203-209.
• [17] Jaiswal B.S. and Soundalgekar V.M. (2000): Transient convective flow past an infinite vertical oscillating plate with temperature gradient dependent heat source. Bul. All India Math. Soc., vol.15, pp.25-29.
• [18] Taneja R. and Jain N.C. (2002): Effects of magnetic field on free convection and mass transfer flow through porous medium and variable permeability in slip flow regime. Jnanabh, vol.31/32, pp.69-81.
• [19] Yamamoto K. and Yoshidha Z. (1974): Flow through a porous wall with convective acceleration. J. Phys. Soc., Japan, vol.37, pp.774-786.
• [20] Yamamoto K. and Iwamura N. (1976): Flow with convective acceleration through a porous medium. J. Engg. Math., vol.10, pp.41-54.
• [21] Raju M.C., Varma S.V.K. and Reddy N.A. (2011): MHD thermal diffusion natural convection flow between heated inclined plates in porous medium. Journal on Future Engineering and Technology, vol.6, No.2, pp.45-48.
• [22] Raju M.C., Varma S.V.K. and Reddy N.A. (2012): 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, No.2, pp.7-12.
• [23] Raju M.C., Varma S.V.K., Reddy P.V. and Sumon Saha (2008): Soret effects due to natural convection between heated inclined plates with magnetic field. Journal of Mechanical Engineering, vol.ME39, pp.43-48.
• [24] Kim J. and Youn (2000): Unsteady MHD convective heat transfer flow past a semi-infinite vertical porous moving plate with variable suction. International Journal of Engineering Sciences, vol.38, pp.833-845.
• [25] Daniel P.G., Blythe B.A. and Simpkins P.G. (1985): Thermally driven shallow cavity flows in porous medium for the intermediate regime. Proc. Roy. Soc., London, vol.406, pp.263-285.
• [26] Ede A.J. (1967): Advances in Heat Transfer Academic Press. New York.

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019)