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Boundary conditions D Negligible shear stress at free Surface at y=h 2 Belt velocity at yao ie u=uo Du 20 sy 0 Dale vro tow + 72 Continuity equation (incompressible) Assumption 124 Da Steady incompressible flow Being parallel flow P= Patm V=w=o U= UCy) only V=0 gy=qz=0 I woo in gx=-g NS equation so (aut n direction : и ди go Syet dz² M on two ) = -2p+m com a Apply all assumptions = 2²u sq 29 꾧 = 0 (p: Patm) u=vq g²+ Gy+(2 2M Uos Of G(0) + (2 C2 = Uo Dn guo²4 Dz² so . BC (2) ou BC() o= 89 (dy) + ( )= am ng
Substitute C., Cain a U= pq y² - pg h y tuo ar u=-pgy cab-y) + Uomo ar
.
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