Consider the incompressible laminar boundary layer theory for a Newtonian fluid that we have studied in this course, with the usual choice of coordinate axes. (a) We talk about the displacement thickness (8*). What conservation principle is it related to? Let the velocity profile be measured for y from 0 to some large value, where u becomes nearly constant. How would you evaluate 8* from this? 2 (b) The flow in a boundary layer is not parallel. Can you write the x-component mo- mentum equation and explain why (although it is small) the velocity component v cannot be neglected? [1] (c) The mathematics of this flow has been presented in terms of the Blasius solution, which is called a "similarity solution". What does that mean? [1] (d) Suppose a uniform stream of air, of kinematic viscosity 1.46 x 10-5 m²/s passes at a speed of 3 m/s over a large flat surface, and a sensor sliding along the x direction is used to measure velocity at a fixed height 5 mm for the wall. Can you use (with interpolation) the Blasius tables (p. 3) to determine, at what distance x from the leading edge would we get 2.5 m/s? Can you also use information from Blasius theory to estimate the wall shear stress at this location?