Radiation effects on natural convection flow over an inclined flat plate with temperature-dependent viscosity

Abstract

The effect of radiation on laminar natural convection flow of a viscous incompressible fluid over a semi-infinite flat plate inclined at a small angle to the horizontal with strong temperature-dependent viscosity has been investigated. The Rosseland approximation is considered while modelling the problem. The non-similar equations are obtained for upstream, downstream, and entire regimes, which are then solved numerically. For constant viscosity, the series solution technique has been employed in order to obtain solutions that are valid near the leading edge as well as in the downstream regime. Later, solutions of the governing equations have been obtained using the finite difference method along with the Keller box technique, taking into consideration variable viscosity. Effects of physical parameters like conduction-radiation parameter R d , surface temperature parameter θ w , variable viscosity parameter λ, and Prandtl number Pr are shown on the local skin-friction coefficient C f and the local Nusselt number, Nu. Effects of the parameters on the streamlines are also shown around the point of separation that occurs along the negatively inclined surface.

Oscillatory dissipative conjugate heat and mass transfer in chemically reacting micropolar flow with wall couple stress: A finite element numerical study

“…Jang et al 25 further investigated radiative flows in stationary rectangular ducts. Free convective transport along an inclined flat plate with temperature-dependent viscosity was studied by Siddiqa et al 26 Siddiqa and Hossain 27 investigated mixed convection with radiative flux effects. In the context of micropolar flows, several researchers have also examined thermal radiative heat transfer.…”

Natural Convection Flow over Wavy Horizontal Surface

“…In this figure, small and large results are obtained from the relations given in (19) and (20), respectively, whereas the curves for the intermediate region are obtained through (18). It is anticipated from the figure below that small, large, and all curves matches well for precise range of locally varying parameter .…”

Conjugate natural convection flow over a vertical surface with radiation

“…The present analysis is an extension of the work of Merkin and Pop [6] by including thermal radiation effects on the conjugate natural convection flow. A number of mathematical models are discussed extensively in the literature which either introduces thermal radiation heat flux in the energy equations or sometimes in the boundary conditions, for example, see [12][13][14][15][16][17][18][19][20]. In the present work, radiative heat flux is estimated by using the Rosseland diffusion approximation.…”