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= Problem 5. A thin oil film (u 0.80 N·s/m², p = 865 kg/m³) of height h = 5.0 mm is squeezed between two infinite parallel plates (0 ≤ y ≤ h). The bottom plate is stationary, u (y = 0) = 0, and the upper plate drags the flow along in the x-direction with an applied shear stress, Tyx (y = h) = Tw = 100 N/m². Assume fully-developed laminar flow for the oil film. A pressure gradient is applied that results in zero net volumetric flowrate (Q= 0). Find (a) the velocity profile, u (y), (b) the pressure gradient, dp/dx, and (c) plot y* = y/h versus u (on x-axis).

= Problem 5. A thin oil film (u 0.80 N·s/m², p = 865 kg/m³) of height h = 5.0 mm is squeezed between two infinite parallel plates (0 ≤ y ≤ h). The bottom plate is stationary, u (y = 0) = 0, and the upper plate drags the flow along in the x-direction with an applied shear stress, Tyx (y = h) = Tw = 100 N/m². Assume fully-developed laminar flow for the oil film. A pressure gradient is applied that results in zero net volumetric flowrate (Q= 0). Find (a) the velocity profile, u (y), (b) the pressure gradient, dp/dx, and (c) plot y* = y/h versus u (on x-axis).

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
Problem 1.1MA
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= Problem 5. A thin oil film (u 0.80 N·s/m², p = 865 kg/m³) of height h = 5.0 mm is squeezed between two infinite parallel plates (0 ≤ y ≤ h). The bottom plate is stationary, u (y = 0) = 0, and the upper plate drags the flow along in the x-direction with an applied shear stress, Tyx (y = h) = Tw = 100 N/m². Assume fully-developed laminar flow for the oil film. A pressure gradient is applied that results in zero net volumetric flowrate (Q= 0). Find (a) the velocity profile, u (y), (b) the pressure gradient, dp/dx, and (c) plot y* = y/h versus u (on x-axis).
Transcribed Image Text:= Problem 5. A thin oil film (u 0.80 N·s/m², p = 865 kg/m³) of height h = 5.0 mm is squeezed between two infinite parallel plates (0 ≤ y ≤ h). The bottom plate is stationary, u (y = 0) = 0, and the upper plate drags the flow along in the x-direction with an applied shear stress, Tyx (y = h) = Tw = 100 N/m². Assume fully-developed laminar flow for the oil film. A pressure gradient is applied that results in zero net volumetric flowrate (Q= 0). Find (a) the velocity profile, u (y), (b) the pressure gradient, dp/dx, and (c) plot y* = y/h versus u (on x-axis).
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