Numerical solution of unsteady radiative flow past an oscillating semi-infinite vertical plate with uniform mass flux
Muthucumaraswamy R. *, Saravanan B.
Department of Applied Mathematics, Sri Venkateswara College of Engineering,
Pennalur, Sriperumbudur 602105, India.
e-mail : msamy@svce.ac.in
Received:
(Received: 20 March 2012; revised: 15 November 2012; accepted: 15 November 2012; published online: 27 February 2013)
DOI: 10.12921/cmst.2013.19.01.23-31
OAI: oai:lib.psnc.pl:430
Abstract:
Thermal radiation effects on unsteady flow past an oscillating semi-infinite isothermal vertical plate with uniform mass flux have been studied. The fluid considered here is a gray, absorbing-emitting radiation but non-scattering medium. The dimensionless governing equations are solved by an efficient, more accurate, and unconditionally stable and fast converging implicit scheme. The effect of velocity and temperature for different parameters like thermal radiation, Schmidt number, thermal Grashof number and mass Grashof number are studied. It is observed that the velocity decreases in the presence of thermal radiation.
Key words:
finite-difference, isothermal, mass flux, radiation, vertical plate
References:
[1] W.G. England, A.F. Emery, Thermal radiation effects on the laminar free convection boundary layer of an absorbing gas, J. Heat transfer, 91, 37-44, (1969).
[2] V.M.Soundalgekar, H.S.Takhar, Radiation effects on free convection flow past a semi-infinite vertical plate, Journal of Modeling, Measurements and Control, B51, 31-40 (1993).
[3] M.A. Hossian, H.S.Takhar, Radiation effect on mixed convection along a vertical plate with uniform surface temperature, Heat and mass Transfer, 31, 243-248 (1996).
[4] A. Raptis, C.Perdikis, Radiation and free convection flow past a moving plate, Int. J. App. Mech. and Engg. 4, 817-821(1999).
[5] A. Rpatis, C.Perdikis, Thermal radiation of an optically thin gray gas, Int. J.App. Mech. and Engg., 8, 131-134 (2003).
[6] R.Muthucumaraswamy, P.Ganesan, Radiation effects on flow past an impulsively started infinite vertical plate with variable temperature, Int. J. of Appl. Mech. and Engg. 8, 125-129(2003).
[7] .M.Soundalgekar, Free convection effects on the flow past a vertical oscillating plate, Astrophy. and Space Sci., 64, 165-172 (1979).
[8] V.M. Soundalgekar, S.P.Alolkar, Effects of free convection currents and mass transfer on the flow past a vertical oscillating plate, Astrophysics and Space Science, 89, 241- 254, 1983.
[9] V.M. Soundalgekar, R.M.Lahurikar, S.G.Pohanerkar, N.S.Birajdar, Effects of mass transfer on the flow past an oscillating infinite vertical plate with constant heat flux, Thermophysics and Aero Mech., 1, 119-124 (1994).
[10] B. Gebhart, L.Pera, The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion, Int. J. Heat Mass Transfer, 14, pp.2025-2050 (1971).
[11] B. Carnahan, H.A. Luther, J.O. Wilkes, Applied Numerical Methods, Applied Numerical
Thermal radiation effects on unsteady flow past an oscillating semi-infinite isothermal vertical plate with uniform mass flux have been studied. The fluid considered here is a gray, absorbing-emitting radiation but non-scattering medium. The dimensionless governing equations are solved by an efficient, more accurate, and unconditionally stable and fast converging implicit scheme. The effect of velocity and temperature for different parameters like thermal radiation, Schmidt number, thermal Grashof number and mass Grashof number are studied. It is observed that the velocity decreases in the presence of thermal radiation.
Key words:
finite-difference, isothermal, mass flux, radiation, vertical plate
References:
[1] W.G. England, A.F. Emery, Thermal radiation effects on the laminar free convection boundary layer of an absorbing gas, J. Heat transfer, 91, 37-44, (1969).
[2] V.M.Soundalgekar, H.S.Takhar, Radiation effects on free convection flow past a semi-infinite vertical plate, Journal of Modeling, Measurements and Control, B51, 31-40 (1993).
[3] M.A. Hossian, H.S.Takhar, Radiation effect on mixed convection along a vertical plate with uniform surface temperature, Heat and mass Transfer, 31, 243-248 (1996).
[4] A. Raptis, C.Perdikis, Radiation and free convection flow past a moving plate, Int. J. App. Mech. and Engg. 4, 817-821(1999).
[5] A. Rpatis, C.Perdikis, Thermal radiation of an optically thin gray gas, Int. J.App. Mech. and Engg., 8, 131-134 (2003).
[6] R.Muthucumaraswamy, P.Ganesan, Radiation effects on flow past an impulsively started infinite vertical plate with variable temperature, Int. J. of Appl. Mech. and Engg. 8, 125-129(2003).
[7] .M.Soundalgekar, Free convection effects on the flow past a vertical oscillating plate, Astrophy. and Space Sci., 64, 165-172 (1979).
[8] V.M. Soundalgekar, S.P.Alolkar, Effects of free convection currents and mass transfer on the flow past a vertical oscillating plate, Astrophysics and Space Science, 89, 241- 254, 1983.
[9] V.M. Soundalgekar, R.M.Lahurikar, S.G.Pohanerkar, N.S.Birajdar, Effects of mass transfer on the flow past an oscillating infinite vertical plate with constant heat flux, Thermophysics and Aero Mech., 1, 119-124 (1994).
[10] B. Gebhart, L.Pera, The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion, Int. J. Heat Mass Transfer, 14, pp.2025-2050 (1971).
[11] B. Carnahan, H.A. Luther, J.O. Wilkes, Applied Numerical Methods, Applied Numerical
