4. Newtonian fluid is in laminar flow in a narrow slit formed by two parallel walls (length W and width L) with a distan

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4 Newtonian Fluid Is In Laminar Flow In A Narrow Slit Formed By Two Parallel Walls Length W And Width L With A Distan 1 (50.59 KiB) Viewed 76 times

4. Newtonian fluid is in laminar flow in a narrow slit formed by two parallel walls (length W and width L) with a distance 2B apart. It is understood that B < W, so that "edge effects" are unimportant. Make a differential momentum balance, and obtain the following expressions for the momentum-flux and velocity distrībutions: Figure 1 Fluid in Txx (Po-P.)B2 V= 2 P2) ==%) [1-6] In these expressions: P = p + pgh = p-pgz 2B Fluid out (a) Based on the coordinate system in Figure 1, derive this velocity v, distribution. (10 MARKS] (6) Derive the maximum velocity for this flow. (3 MARKS] (c) Derive the average velocity for this flow. [6 MARKS] (d) Derive the mass flow rate. [3 MARKS] (e) Derive the force of the fluid on the wet surface of the wall. [3 MARKS]