Transient free convection past a semi‐infinite vertical plate with variable surface temperature

Abstract

Presents a finite‐difference solution to transient free convection flow past a semi‐infinite vertical plate in which the plate temperature T¢w(x) varies as the power of the axial co‐ordinate in the form T¢• + axn. Gives numerical results for fluids with Prandtl numbers Pr = 0.7 (air) and Pr = 7 (water) for three representative exponent values under non‐uniform surface heating conditions. Finds that the time to reach the steady‐state increases as the value of n or Pr increases. The steady‐state local skin‐friction falls by increasing the exponent n and Pr; however, the steady‐state local Nusselt number increases with n at a distance along the plate far away from the leading edge but decreases with increasing n near the leading edge of the plate. Also, the average Nusselt number increases and the average skin‐friction decreases as n increases because of enhanced heating of the plate.

Finite difference solution of radiation effects on MHDunsteady free‐convection flow over vertical plate withvariable surface temperature

“…In the present paper, the numerical results of the local skin friction and local Nusselt number are in good agreement with the results of Takhar et al [14] as shown in Figures 5.9 and 5.10.…”

“…In order to assess the accuracy of our computed results, our results for steady-state values of the velocity and temperature was compared to those of the curves computed by Takhar et al [14].…”

“…The local, as well as average, skin friction and Nusselt number in terms of dimensionless quantities are given by [14] The derivatives involved in (4.1) are evaluated using the following fivepoint approximation formula…”

“…In all the above investigations, only steady-state flows over semi-infinite vertical plate have been studied. The unsteady freeconvection flows over vertical plate have been studied by Gokhale [5], Takhar et al [14], Muthukumaraswamy and Ganesan [8]. The problem of the effect of radiation on MHD unsteady free-convection flow has not received any attention yet.…”

Thermal Diffusion Effect on MHD Heat and Mass Transfer Flow past a Semi Infinite Moving Vertical Porous Plate with Heat Generation and Chemical Reaction

“…The theory developed by viscous flow through porous media is useful in analyzing the influence of temperature and pressure on the flow of soil water. The unsteady free convection flows over semi-infinite vertical plate was studied by Takhar et al [1]. Thakar and Ram [2] also studies the MHD free porous convection heat transfer of water at 400C through a porous medium.…”