Before revision: Derivation The non-dimensional energy equation for fluid flow in a boundary layer can simplify to the following, when heating from viscous dissipation and heat generation can be neglected: Where and are the velocity in the x and y directions respectively normalized by the free stream velocity, and are the x and y coordinates non-dimensionalized by a relevant length scale, is the Reynolds number, is the Prandtl number, and is the non-dimensional temperature, which is defined by the local, minimum, and maximum temperatures: The non-dimensional species transport equation for fluid flow in a boundary layer can be given as the following, assuming no bulk species generation: Where is the non-dimensional concentration, and is the Schmidt number.
After revision: Derivation The non-dimensional energy equation for fluid flow in a boundary layer can simplify to the following, when heating from viscous dissipation and heat generation can be neglected: Where and are the velocities in the x and y directions respectively normalized by the free stream velocity, and are the x and y coordinates non-dimensionalized by a relevant length scale, is the Reynolds number, is the Prandtl number, and is the non-dimensional temperature, which is defined by the local, minimum, and maximum temperatures: The non-dimensional species transport equation for fluid flow in a boundary layer can be given as the following, assuming no bulk species generation: Where is the non-dimensional concentration, and is the Schmidt number.