The Interaction of Radiation and Convection in the Laminar Boundary Layer

Abstract

The problem of simultaneous convection and radiation in the laminar boundary layer on a flat plate is formulated and solved. The plate surface is assumed black and the fluid medium is a perfect gas for which the mass absorption coefficient for radiation is considered to be independent of frequency and temperature. The solution is of the iterative type and includes effects of viscous dissipation, secondary emission and absorption, and incident external radiative fluxes. Illustrative examples of temperature profiles and local and average heat transfer rates are presented.

Soot and radiation in combusting boundary layers

“…Using.a modified Schmidt Method technique, Markstein [24], and Santo The theorectical part of this report extends the work of previous studies, which neglect radiation in combusting boundary layers [26][27][28][29][30][31][32]. Many authors [33][34][35][36][37][38][39] h~ve discussed the interaction of conveetion artd radiation in an inert boundary layer.…”

Effect of nongray thermal radiation on laminar forced convection over a heated horizontal plate

“…s a,(T) T4(y') El [ao(y' -Y)] a0 dy' . (10) I 1 Assuming a, to be independent of temperature, it follows from equations 7and (8) thata&T, TJ = a&T,), (11) and for a real gas in a limited temperature region the Planck mean coefficient can often be approximated as a,(T) = (T/T,)" a,(T,),…”

Attenuation of Infrared Radiation Emitted from Hot Surface by Transpiration of an Absorbing Gas

“…The optical thickness based on thý boundary layer thickness is estimated to be T6 * K6 -C(PrNt) ' where the constant C is approximately in the range of 5 < C < 10 depending on pwVw/o.u,. The results of extensive calculations by numerous investigators [14,15,45,46] for an optically thin boundary layer with negligible viscous dissipation, hot wall and no radiation incident on the boundary layer from some external source indicate that the effect of radiation on temperature distribution is negligible.…”

“…The analytical studies [14][15][16][17] dealing with the radiation effects in boundary layer flow over a flat plate of an absorbing gas have been extended by Kennedy [18] to account for mass addition. The effect on the convection and radiation heat transfer by injection of an absorbing gas in two-dimensional and axisymmetric stagnation point regions has been reported by Macken and Hartnett [19].…”