9–104 Consider a modified form of Couette flow in which there are two immiscible fluids sandwiched between two infi- nitely long and wide, parallel flat plates (Fig. P9–104). The flow is steady, incompressible, parallel, and laminar. The top plate moves at velocity V to the right, and the bottom plate is stationary. Gravity acts in the -z-direction (downward in the figure). There is no forced pressure gradient pushing the flu- ids through the channel–the flow is set up solely by viscous effects created by the moving upper plate. You may ignore surface tension effects and assume that the interface is hori- zontal. The pressure at the bottom of the flow (z = 0) is equal to Po. (a) List all the appropriate boundary conditions on both velocity and pressure. (Hint: There are six required boundary conditions.) (b) Solve for the velocity field. (Hint:
9–104 Consider a modified form of Couette flow in which there are two immiscible fluids sandwiched between two infi- nitely long and wide, parallel flat plates (Fig. P9–104). The flow is steady, incompressible, parallel, and laminar. The top plate moves at velocity V to the right, and the bottom plate is stationary. Gravity acts in the -z-direction (downward in the figure). There is no forced pressure gradient pushing the flu- ids through the channel–the flow is set up solely by viscous effects created by the moving upper plate. You may ignore surface tension effects and assume that the interface is hori- zontal. The pressure at the bottom of the flow (z = 0) is equal to Po. (a) List all the appropriate boundary conditions on both velocity and pressure. (Hint: There are six required boundary conditions.) (b) Solve for the velocity field. (Hint:
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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