Transient flow rate behaviour in an external natural convection boundary layer |
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Authors: | Guillaume Polidori Catalin Popa Ton Hoang Mai |
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Affiliation: | Laboratoire de Thermomécanique, Faculté des Sciences, Moulin de la Housse BP 1039, 51687, Reims, France |
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Abstract: | A theoretical approach is proposed to investigate the transient dynamic behaviour of a free convection boundary layer-type flow. The set of continuity, momentum and energy equations are solved with the classical Boussinesq approximation using the Karman–Pohlhausen integral method. Applying a step variation of the uniform heat flux on a vertical wall, the boundary layer thickness and velocity profiles within the viscous layer, streamline patterns and volumetric flow rate are evaluated as a function of time. In addition, corresponding fully analytical asymptotic solutions are derived to be readily used in engineering applications. |
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Keywords: | Transient free convection Boundary layer Integral method Flow rate |
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