Stokes problem for infinite vertical plate with constant heat flux

Computer Science – Numerical Analysis

Scientific paper

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Heat Flux, Incompressible Fluids, Plates (Structural Members), Stokes Flow, Viscous Fluids, Wall Flow, Flow Velocity, Grashof Number, Numerical Analysis, Prandtl Number, Temperature Profiles, Velocity Distribution, Vertical Motion

Scientific paper

An exact solution for the Stokes problem for an infinite vertical plate has been derived taking into account the constant heat flux at the plate. Mathematical analysis is made considering the flow of an incompressible viscous fluid past an infinite vertical plate, and equations are derived for the velocity of the fluid in the vertically upward direction along the plate. The temperature and velocity profiles are calculated; temperature is found to decrease with increasing Prandtl number. It was also observed that the velocity of the fluid increases with time or the increase in the Grashof number.

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