A Mathematical analysis of oscillatory free convection in a vertical wavy channel with Chemical reaction
Keywords:
Heat Transfer, Mass Transfer, Chemical reaction, Wavy channel
Abstract
The effect of chemical reaction on unsteady combined heat and mass transfer flow of a viscous electrically conducting fluid in a vertical wavy channel with oscillatory flux. The non-linear governing equations are solved by employing a regular perturbation technique with the slope d of the wavy wall as a perturbation parameter. The velocity, the temperature and the concentration are analyzed for different variations of the governing parameters. The rate heat and mass transfer are evaluated for different variations.
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with heated boundary, Int. J. Non- Linear Mech. 40 (2005) 515–522.
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unsteady squeezing flow of a second-grade fluid between circular plates, Math. Probl. Eng.
18 (2010), 706840.
[3] T. Hayat, M. Qasim, S.A. Shehzad, A. Alsaedi, Unsteady stagnation point flow of
second grade fluid with variable free stream, Alexandria Eng. J. 53 (2014) 455–461.
[4] A.R. Bestman, Natural convection boundary layer with suction and mass transfer in a porous
medium, Int. J. Energy Res. 14 (1990) 389–396.
[5] M.D. Abdus Sattar, M.D. Hamid Kalim, Unsteady free-convection interaction with thermal
radiation in a boundary layer flow past a vertical porous plate, J. Math. Phys. Sci. 30 (1996) 25–37.
[6] O.D. Makinde, Free convection flow with thermal radiation and mass transfer past a moving
vertical porous plate, Int. Commn. Heat Mass Transf. 32 (10) (2005) 1411–1419.
[7] O.D. Makinde, P.O. Olanrewaju, W.M. Charles, Unsteady convection with chemical reaction and
radiative heat transfer past a flat porous plate moving through a binary mixture, Afr. Mat. 22 (2011)
65–78.
[8] R. Muthucumaraswamy, P. Ganesan, Effect of the chemical reaction and injection on flow
characteristics in an unsteady upward motion of an isothermal plate, J. Appl. Mech. Tech. Phys. 42 (2001) 665–671.
[9] U.N. Das, R. Deka, V.M. Soundalgekar, Effects of mass transfer on flow past an impulsively
started infinite vertical plate with constant heat flux and chemical reaction, Forsch Ing-Wes. 60
(1994) 284–287.
[10] R. Muthukumaraswamy, Effects of a chemical reaction on a moving isothermal surface with suction., Acta Mechnica,V.155,p.65, 2002
[11] P. Kandaswamy, Wahid Abd, B.Md.Raj, B. Azme Khamis, Effects of chemical reaction, heat and mass transfer on boundary layer flow over a porous wedge with heat radiation in the presence of suction or injection, Theoret. Appl. Mech., V.33. No.2, pp.123-148, 2006
[12] Hiroxhi Iwai, Kazuyoshi nakabe, Kenjiro Suzuki: Flow and Heat transfer characteristics of backward-facing step laminar flow in a rectangular duct., Int.J.Heat and Mass transfer,V.43, pp.457-471(2000)
[13] Teoman Ayhan, Hayati Olgum : Betul Ayhan : Heat transfer and flow structure in a Rectangualr channel withwing -1, type vortex Generator. Tr. J. of Engineering and Environmental Science, pp, 85-195, 22 (1998).
[14] Cheng K.S. and J.R. Hi.: Steady, Two-dimensional, natural convection in rectangular enclosures with differently heated walls transaction of the ASME, v. 109, p, 400, (1987).
[15] Chan, B.K.C, Ivey, U.M and Barry, J.M: Natural convection in enclosed porous medium with rectangular boundaries ASME journal of heat transfer, v. 92, pp, 21-27 (1970).
[16] Bejan,A and Khair,K.R:Heat and Mass transfer by natural convection in a porous medium, Int. J. Heat Mass transfrt,V.28,pp.908-918(1985).
[17] Lai,F.C and Kulacki,F.A : Coupled heat and mass transfer by natural convection from
vertical surfaces in porous medium.,Int.J.Heat Mass Transfer, V.34, pp.1189-1194(1991).
[18] Angirasaa,D,Peterson,G.P and Pop, I :Combined heat and mass transfer by natural convection with opposing buoyancy effects in a fluid saturated porous medium, Int. J. Heat Mass Transfer,V.40,pp.2755-2773(1997).
[19] Nelson,D.J and Wood,B.D:Combined heat and mass transfer by natural convection between vertical plates ,Int.J.,Heat Mass transfer,V.82,pp.1789-1792(1989).
Published
2024-03-15
How to Cite
D.S, D., Shivashankara, P. K., K. K, V., & P, P. (2024). A Mathematical analysis of oscillatory free convection in a vertical wavy channel with Chemical reaction. IJO - International Journal of Mathematics (ISSN: 2992-4421 ), 7(03), 15-24. Retrieved from https://www.ijojournals.com/index.php/m/article/view/817
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