Consider the steady-state and laminar flow of an incompressible and constant-property fluid parallel to a flat plate (Fig. 5.3). Assume a fourth-order polynomial velocity profile of the form u = a +...

Consider the steady-state and laminar flow of an incompressible and constant-property fluid parallel to a flat plate (Fig. 5.3). Assume a fourth-order polynomial velocity profile of the form

u = a + by + cy²
+ dy³
+ ey⁴

Using an analysis similar to that of Subsection 5.2.1, show that