Nonlinear convection at a porous flat plate with application to heat transfer from a dike

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Abstract

Solutions for a class of coupled nonlinear differential equations, arising in free convection flow at a vertical flat plate embedded in a saturated porous medium at high Reynolds numbers in the presence of heat sources (or sinks) and with nonlinear density temperature variation, are obtained. Further, using the Schauder theory and numerical results, existence and analyticity results are established. © 2003 Elsevier Science (USA). All rights reserved.

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Vajravelu, K., Cannon, J. R., Leto, J., Semmoum, R., Nathan, S., Draper, M., & Hammock, D. (2003). Nonlinear convection at a porous flat plate with application to heat transfer from a dike. Journal of Mathematical Analysis and Applications, 277(2), 609–623. https://doi.org/10.1016/S0022-247X(02)00634-0

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