Heat flux and wall shear stress in large-aspect-ratio turbulent vertical convection

Thermally driven flows are ubiquitous in nature. An important and longstanding question is how heat transfer depends on the control parameters of flow. In this Letter, author presents a theoretical analysis that answers such for large aspect-ratio turbulent thermal convection fluid between two vertical walls maintained at different temperatures. This yields dependence flux wall shear stress Rayleigh Prandtl numbers high Rayleigh-number limit.