Thermal vibrational convection refers to flows that appear when a nonuniformly heated fluid is subject to external vibration. The book describes the physical mechanism of thermal vibrational convection in porous media under gravitational field and the possibility of convection under acceleration. It discusses applications of modeling microgravity environments such as high frequency acceleration in a space station and material processing in space. It covers various models such as Darcy, Brinkman and Forchheimer and reviews experiments to obtain permeability, porosity and high velocity coefficients. It also discusses porous media in gas production and chemical engineering.