E-raamat: Internally Heated Convection and Rayleigh-Benard Convection

This Brief focuses primarily on the model problem wherein a plane layer of fluid is subject to constant, uniform internal heating, while the top and bottom boundary temperatures are held constant and equal to one another. Among all possible combinations of boundary conditions on a plane layer, with or without internal heating, that are governed by only two control parameters (the Rayleigh and Prandtl numbers), only this configuration requires two integral quantities, rather than one, to characterize the bulk heat transport. In this volume, Dr. Goluskin explores the difficulties this creates that are unique among a larger class of model problems. The principle goal of the book is to describe these difficulties and give a unified account of foregoing experimental, computational, and theoretical studies of internally heated convection, highlighting the fact that some features of internally heated flows can be understood by analogy with boundary-driven flows, while other features are novel. The author also poses central open questions that have not been clearly stated in the literature.