6.31 A fluid with a density of 1000 kg/m' flows steadily betweentwo stationary flat plates as shown in Fig. P6.31. The velocity isV = 0.15 [1 - (y/h)²]î m/s where y and h are in meters. The onlynonzero shear stresses, Tg = 7y are given by Ty = -190 y N/m2and the acceleration of gravity is negligible. The normal stress atthe origin (x = y = 0) is o = -480 N/m?. Use the x and y com-ponents of the equations of motion (Eqs. 6.50a and b) to determinethe normal stress throughout the fluid. Assume that o = 0,UmaxI Figure P6.31

Write the equation of motion along the x axis. Since the flow is steady and incompressible, also…

6.31 A fluid with a density of 1000 kg/m³ flows steadily between two stationary flat plates as shown in Fig. P6.31. The velocity is V = 0.15 [1 - (y/h)*]î m/s where y and h are in meters. The only nonzero shear stresses, 7 = 7,y are given by T = -190 y N/m2 and the acceleration of gravity is negligible. The normal stress at the origin (x = y = 0) is o = -480 N/m². Use the x and y com- ponents of the equations of motion (Eqs. 6.50a and b) to determine the normal stress throughout the fluid. Assume that o = oy.

6.31 A fluid with a density of 1000 kg/m³ flows steadily between two stationary flat plates as shown in Fig. P6.31. The velocity is V = 0.15 [1 - (y/h)*]î m/s where y and h are in meters. The only nonzero shear stresses, 7 = 7,y are given by T = -190 y N/m2 and the acceleration of gravity is negligible. The normal stress at the origin (x = y = 0) is o = -480 N/m². Use the x and y com- ponents of the equations of motion (Eqs. 6.50a and b) to determine the normal stress throughout the fluid. Assume that o = oy.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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