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Problem 6. Two immiscible fluids are contained between two infinite parallel plates. The plates are separated by distance 2h, and the two fluid layers are of equal thickness h. The dynamic viscosity of the upper layer (fluid B) is three times that of the lower layer (fluid A). Find the velocity at the interface if the lower plate is stationary and the upper plate moves at constant speed, U = 20 ft/s. Assume laminar flows, and that the pressure gradient in the direction of flow is zero.

Problem 6. Two immiscible fluids are contained between two infinite parallel plates. The plates are separated by distance 2h, and the two fluid layers are of equal thickness h. The dynamic viscosity of the upper layer (fluid B) is three times that of the lower layer (fluid A). Find the velocity at the interface if the lower plate is stationary and the upper plate moves at constant speed, U = 20 ft/s. Assume laminar flows, and that the pressure gradient in the direction of flow is zero.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Problem 6. Two immiscible fluids are contained between two infinite parallel plates. The plates are separated by distance 2h, and the two fluid layers are of equal thickness h. The dynamic viscosity of the upper layer (fluid B) is three times that of the lower layer (fluid A). Find the velocity at the interface if the lower plate is stationary and the upper plate moves at constant speed, U = 20 ft/s. Assume laminar flows, and that the pressure gradient in the direction of flow is zero.
Transcribed Image Text:Problem 6. Two immiscible fluids are contained between two infinite parallel plates. The plates are separated by distance 2h, and the two fluid layers are of equal thickness h. The dynamic viscosity of the upper layer (fluid B) is three times that of the lower layer (fluid A). Find the velocity at the interface if the lower plate is stationary and the upper plate moves at constant speed, U = 20 ft/s. Assume laminar flows, and that the pressure gradient in the direction of flow is zero.
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