2.9-4. Shell Momentum Balance for Flow Down an Inclined Plane. Consider the case of a Newtonian fluid in steady-state laminar flow down an inclined plane surface that makes an angle 0 with the...

Extracted text: 2.9-4. Shell Momentum Balance for Flow Down an Inclined Plane. Consider the case of a Newtonian fluid in steady-state laminar flow down an inclined plane surface that makes an angle 0 with the horizontal. Using a shell momentum balance, find the equation for the velocity profile within the liquid layer having a thickness L and the maximum velocity of the free surface. (Hint: The convec- tive momentum terms cancel for fully developed flow and the pressure-force terms also cancel, because of the presence of a free surface. Note that there is à gra vity force on the fluid.) Ans. v. max = pgL sin 0/2 u 2.10-1. Viscosity Measurement of a Liquid. Ône use of the Hagen-Poiseuille equation (2.10-2) is in determining the viscosity of a liquid by measuring the pressure Cs, Scanned ywith CamScanner