Consider the following non-dimensional variables, p U V Uo Vm h where P, is some pressure scale to be determined. Show that if û = û = du Ju EU +

Ev. əx ду Əv əx = Əv + €³v- = P₁ = Ps the non-dimensional continuity and Navier-Stokes equation can be written as du Əv + = 0, əx ду = P Ps μUo he = 1 др 1 + Re dx = (₁ Re 𐐀x2 J² u €² x = + 1 др €² J²v + Re dy Re əx² (₁ X (h/e)' J²u Əy² + (8) dəy where all quantities in equations (6)–(8) are non-dimensional and Re = pUoh/p. Note that I have left off the hats for ease of notation. All quantities from herein on are non-dimensional. What is the argument for selecting P, as in equation (5)? J²v 7 2010). Əy² (4) (5) (6) (7)