A solution of the heat transfer equation for laminar flow between parallel plates
Introduction. Consider a viscous incompressible fluid flowing from left to right between infinite parallel boundary walls. The walls have a temperature 60 to the left of the origin and zero to the right of it. If the heat transmissivity of the walls is taken to be negligible compared with that of the fluid and heat dissipation within the fluid is neglected, then for Poiseuille flow the dimensionless reduced temperature t? (= 6/d0) satisfies the equation