Effect of thermal radiation on the laminar free convection from a heated vertical plate

Abstract

An analytical attempt is made to understand the non-equilibrium interaction between thermal radiation and laminar free convection in terms of a heated vertical plate in a stagnant radiating gas. The effect of radiation is taken into account in the integral formulation of the problem as a one-dimensional heat flux, evaluated by including the absorption in thin gas approximation and the wall elfect in thick gas approximation. The local Nusselt numbers thus obtained help to interpret the gas domains from transparent to opaque and from cold to hot. The present thick gas model approximates the radiant flux as qR=-E[-(I-?)exp(-$aygT'$ whose limit for large a and small but non-zero y is the Rosseland gas, qgs =-(16a/3a) T3(cW/ay), and that for y = 0 and large but finite a is 4", =-c,(8a/3a

Analysis of Combined Natural Convection and Radiation Heat Transfer Using a Similarity Solution

“…Radiative heat fluxes can be approximated by the Rosseland diffusion approximation (Rosseland, 1936) for an optically dense medium, which has been used in many radiation related studies (Cess, 1966;Arpaci, 1968;Cheng and Özişik, 1972;Hossain and Takhar, 1996;Hossain et al, 1999;Molla et al, 2011;Siddiqa et al, 2014;Bataller, 2008a;2008b) and (Hossain et al, 1998;Hossain and Alim, 1997;Hossain et al, 1999).Using the Rosseland diffusion approximation for radiation, the radiation heat flux is simplified as: …”

“…He solved the problem by means of singular perturbation technique for small values of radiation parameter (N R << 1). Arpaci (1968) investigated the effect of thermal radiation on local heat flux for laminar free convection from a heated vertical plate. He approximated the radiation heat flux by an integro exponential function and selected first order polynomial to approximate the velocity and temperature profiles.…”

Numerical Estimation of Thermal Radiation Effects on Marangoni Convection of Dusty Fluid

“…Later on, Cess [3] investigated the thermal radiation heat transport in the boundary-layer region and obtained the solutions for system of nonlinear partial differential equations by incorporating the singular perturbation technique. Apraci [4] analyzed the non-equilibrium interaction between the laminar convective flow and thermal radiation. In later years, by utilizing the Rosseland diffusion approximation, numerous authors [5]- [7] discuss the free and/or mixed convective flows across/along the heated surfaces of various geometries, for example, flat plate (vertical/horizontal), rotating and non-rotating axisymmetric surfaces, sphere, channel and wavy surfaces under different boundary conditions.…”

A Study of Chemically Reactive Species and Thermal Radiation Effects on an Unsteady MHD Free Convection Flow Through a Porous Medium Past a Flat Plate with Ramped Wall Temperature

“…Aydin and Kaya [7] investigated the effect of thermal radiation on MHD mixed convection flow about a permeable vertical plate. Many researchers such as Arpaci [8], Cess [9], Cheng and Ozisiki [10], Raptis [11], Hossain and Takhar [12; 13] investigated the interaction of thermal radiation and free convection for different geometries, by considering the flow to be steady. The unsteady flow past a moving vertical plate in the presence of free convection and radiation weas studied by Das et al [14].…”