MHD flow past a parabolic flow past an infinite isothermal vertical plate in the presence of thermal radiation and chemical reaction

• Autorzy: Muthucumaraswamy R. , Sivakumar P.

Identyfikatory

DOI

10.1515/ijame-2016-0006

• Języki publikacji: EN

Abstrakty

EN

The problem of MHD free convection flow with a parabolic starting motion of an infinite isothermal vertical plate in the presence of thermal radiation and chemical reaction has been examined in detail in this paper. The fluid considered here is a gray, absorbing emitting radiation but a non-scattering medium. The dimensionless governing coupled linear partial differential equations are solved using the Laplace transform technique. A parametric study is performed to illustrate the influence of the radiation parameter, magnetic parameter, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number and time on the velocity, temperature, concentration. The results are discussed graphically and qualitatively. The numerical results reveal that the radiation induces a rise in both the velocity and temperature, and a decrease in the concentration. The model finds applications in solar energy collection systems, geophysics and astrophysics, aerospace and also in the design of high temperature chemical process systems.

Słowa kluczowe

EN

MHD; isothermal; radiation; vertical plate; thermal radiation; chemical reaction; Laplace transforms technique

PL

MHD; płyta pionowa; promieniowanie cieplne; metoda transformacji Laplace'a

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2016
• Tom: Vol. 21, no. 1
• Strony: 95--105
• Opis fizyczny: Bibliogr. 14 poz., wykr.

Twórcy

autor

Muthucumaraswamy R.

• Department of Applied Mathematics Sri Venkateswara College of Engineering Irungattukottai, Sriperumbudur-602117, INDIA

autor

Sivakumar P.

• Department of Mathematics P.B.College of Engineering Irungattukottai, Sriperumbudur, Chennai-602117, INDIA

Bibliografia

• [1] Chambre P.L. and Young J.D. (1958): On the diffusion of a chemically reactive species in a laminar boundary layer flow. – The Physics of Fluids, vol.1, pp.48-54.
• [2] Das U.N., Deka R.K. and Soundalgekar V.M. (1994): Effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction. – Forschung im Ingenieurwesen, vol.60, pp.284-287.
• [3] Das U.N., Deka R.K. and Soundalgekar V.M. (1999): Effects of mass transfer on flow past an impulsively started infinite vertical plate with chemical reaction. – The Bulletin of GUMA, vol.5, pp.13-20.
• [4] Muthucumaraswamy R. and Meenakshisundaram S. (2006): Theoretical study of chemical reaction effects on vertical oscillating plate with variable temperature, Theoret. – Journal of Applied Mechanics, vol.33, pp.245-257.
• [5] Gupta A.S., Pop I. and Soundalgekar V.M. (1979): Free convection effects on the flow past an accelerated vertical plate in an incompressible dissipative fluid. – Rev. Roum. Sci. Techn.-Mec. Apl., vol.24, pp.561-568.
• [6] Kafousias N.G. and Raptis A.A. (1981): Mass transfer and free convection effects on the flow past an accelerated vertical infinite plate with variable suction or injection. – Rev. Roum. Sci. Tech. - Mec. Apl., vol.26, pp.11-22.
• [7] Singh A.K. and Kumar N. (1984): Free convection flow past an exponentially accelerated vertical plate. – Astrophysics and Space Science, vol.98, pp.245-258.
• [8] Hossain M.A. and Shayo L.K. (1986): The skin friction in the unsteady free convection flow past an accelerated plate. – Astrophysics and Space Science, vol.125, pp.315-324.
• [9] Jha B.K., Prasad R. and Rai S. (1991): Mass transfer effects on the flow past an exponentially accelerated vertical plate with constant heat flux. – Astrophysics and Space Science, vol.181, pp.125-134.
• [10] Muthucumaraswamy R., Sathappan K.E. and Natarajan R. (2008): Mass transfer effects on exponentially accelerated isothermal vertical plate. – Int. J. of Appl. Math. and Mech., vol.4, No.6, pp.19-25.
• [11] Soundalgekar V.M. and Takhar H.S. (1993): Radiation effects on free convection flow past a semi-infinite vertical plate. – Modeling, Measurement and Control, vol.B51, pp.31-40.
• [12] Hossain M.A. and Takhar H.S. (1996): Radiation effects on mixed convection along a vertical plate with uniform surface temperature. – Heat and Mass Transfer, vol.31, pp.243-248.
• [13] Das U.N, Deka R.K. and Soundalgekar V.M. (1996): Radiation effects on flow past an impulsively started vertical infinite plate. – J. Theo. Mech., vol.1, pp.111-115.
• [14] Muthucumaraswamy R. and Janakiraman (2006): MHD and radiation effects on moving isothermal vertical plate with variable mass diffusion. – Theoret. Appl. Mech., vol.33, No.1, pp.17-29.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę