OTWO immiscible, incompressible, viscous fluids having same densities but different viscosities are contained between two infinite horizontal parallel plates, 2 m apart as shown below. The bottom plate is fixed and the upper plate moves to the right with a constant velocity of 3 m/s. With the assumptions of Newtonian fluid, steady, and fully developed laminar flow with zero pressure gradient in all directions, the momentum equations simplify to du If the dynamic viscosity of the lower fluid, H2, is twice that of the upper fluid, u,, then the velocity at the interface (round off to two decimal places) is , m/s. L 13 H - 24, 2 m

OTWO immiscible, incompressible, viscous fluids having same densities but different viscosities are contained between two infinite horizontal parallel plates, 2 m apart as shown below. The bottom plate is fixed and the upper plate moves to the right with a constant velocity of 3 m/s. With the assumptions of Newtonian fluid, steady, and fully developed laminar flow with zero pressure gradient in all directions, the momentum equations simplify to du If the dynamic viscosity of the lower fluid, H2, is twice that of the upper fluid, u,, then the velocity at the interface (round off to two decimal places) is , m/s. L 13 H - 24, 2 m

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

See similar textbooks

Similar questions

Q3. The momentum equation for an inviscid flow with body forces ignored is defined as, a(pu) ¸ a(puu) , d(puv) _ _ôP ây + ốt + Show that for incompressible flow in steady-state this simplifies as given below; ди ди + pv- ƏP pu-
What are the basic building blocks of fluid system, also derive the governing equation of given system.
An incompressible viscous fluid is placed between two large parallel plates as shown in Fig. 1 . The bottom plate is fixed and the upper plate moves with a constant velocity, U. For these condi- tions the velocity distribution between the plates is linear and can be expressed as u = U² b (b) the vorticity, Determine: (a) the rotation vec tor, and (c) the rate of angular deformation. U Moving plate y Fixed plate Fig. 1
A belt moves upward at velocity V, dragging a fi lm ofviscous liquid of thickness h , as in Fig. . Near the belt,the fi lm moves upward due to no slip. At its outer edge, thefi lm moves downward due to gravity. Assuming thatthe only nonzero velocity is υ ( x ), with zero shear stress atthe outer fi lm edge, derive a formula for ( a ) υ ( x ), ( b ) the average velocity V avg in the fi lm, and ( c ) the velocity V c forwhich there is no net flow either up or down. ( d ) Sketchυ ( x ) for case ( c ).
A piston compresses gas in a cylinder by moving at constantspeed V , as in Fig. P4.18. Let the gas density andlength at t = 0 be ρ 0 and L 0 , respectively. Let the gas velocityvary linearly from u = V at the piston face to u = 0 atx = L . If the gas density varies only with time, fi nd anexpression for ρ ( t ).
P4.88 The viscous oil in Fig. P4.88 is set into steady motion by a concentric inner cylinder moving axially at velocity U inside a fixed outer cylinder. Assuming constant pressure and density and a purely axial fluid motion, solve Eqs. (4.38) for the fluid velocity distribution vz(r). What are the proper boundary conditions? b. v(r) a U Oil: p, H
Q6 (a) Explain briefly the difference between incompressible and compressible fluid flow.
A CFD model of steady two-dimensional incompressiblefl ow has printed out the values of stream function ψ ( x , y ), inm 2 /s, at each of the four corners of a small 10-cm-by-10-cmcell, as shown in Fig. P4.70. Use these numbers to estimate the resultant velocity in the center of the cell and its angleα with respect to the x axis.
Derive a control volume form of the second law of thermodynamics. Suggest some practical uses for your relation in analyzing real fluid flows.
5. Is a flow for which u = 3 m: s-1, v= 8x s' possible in an incompressible fluid? Can a potential function exist?
Q.5 A 30 cm diameter Horizontal Pipe terminates in a nozzle with exit diameter of 5 cm. If water flows through the Pipe at a 3 rate of 0.2 m/s. What force (in MN) will be exerted by fluid on nozzle. Type your answer here.. SUBMIT
P3.5 Water at 20°C flows through a 5-in-diameter smooth pipe at a high Reynolds number, for which the velocity profile is approximated by u = U.(v/R)/8, where U, is the cen- terline velocity, R is the pipe radius, and y is the distance measured from the wall toward the centerline. If the cen- terline velocity is 25 ft/s, estimate the volume flow rate in gallons per minute.