Transient laminar mixed convection heat transfer from a moving vertical plate

Transient laminar mixed-convection heat transfer from a moving vertical plate is investigated analytically, taking the heat capacity of the plate into account and assuming constant fluid and plate properties (except for fluid density as it affects the body force). The coordinate system and boundary conditions are defined, the governing equations are derived (using the Boussinesq approximation for buoyancy force due to density differences) and rewritten in nondimensional form, and the resulting nonlinear coupled partial differential equations are solved numerically by an explicit differences scheme. Numerical results are presented for a Pb plate in air in graphs and tables. The effect of plate heat capacity and buoyant force on both transient and steady-state temperature and velocity profiles is discussed. Increased buoyancy is accompanied by higher vertical velocity and a reduction in thermal-boundary-layer thickness.