Lubricating oil is pumped to flow with velocity, V between two stationary parallel plates separated by a thin gap of b = 1.8 mm as shown in Figure Q4. The gauge pressure at the inlet, Pn, is 100 kPa gauge. The pressure changes linearly to the atmospheric pressure at the outlet. Assuming the oil as an incompressible, steady and fully developed laminar flow of viscous fluid, detemine the equation of the velocity profile and the volume flow rate, Q. Calculate the Reynold number for the flow to justify that the flow is indeed laminar. [Lubricating oil properties: µ = 72.5 x 10° kg/m.s and p = 865 kg/m³]
Lubricating oil is pumped to flow with velocity, V between two stationary parallel plates separated by a thin gap of b = 1.8 mm as shown in Figure Q4. The gauge pressure at the inlet, Pn, is 100 kPa gauge. The pressure changes linearly to the atmospheric pressure at the outlet. Assuming the oil as an incompressible, steady and fully developed laminar flow of viscous fluid, detemine the equation of the velocity profile and the volume flow rate, Q. Calculate the Reynold number for the flow to justify that the flow is indeed laminar. [Lubricating oil properties: µ = 72.5 x 10° kg/m.s and p = 865 kg/m³]
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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![Lubricating oil is pumped to flow with velocity, V between two stationary paralle! plates
separated by a thin gap of b = 1.8 mm as shown in Figure Q4. The gauge pressure at the
inlet, Pn, is 100 kPa gauge. The pressure changes linearly to the atmospheric pressure at
the outlet. Assuming the oil as an incompressible, steady and fully developed laminar flow of
viscous fluid, detemine the equation of the velocity profile and the volume flow rate, Q.
Calculate the Reynold number for the flow to justify that the flow is indeed laminar.
[Lubricating oil properties: µ = 72.5 x 10° kg/m.s and p = 865 kg/m³]
1.0 m
Pin
y
Pout
0.8 m
V
Figure Q4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2eb19c8-4f6f-4827-a841-089fdeee2c4b%2Ffd196619-07e9-4005-95eb-b6f4e2c44605%2Fvw1sy8_processed.png&w=3840&q=75)
Transcribed Image Text:Lubricating oil is pumped to flow with velocity, V between two stationary paralle! plates
separated by a thin gap of b = 1.8 mm as shown in Figure Q4. The gauge pressure at the
inlet, Pn, is 100 kPa gauge. The pressure changes linearly to the atmospheric pressure at
the outlet. Assuming the oil as an incompressible, steady and fully developed laminar flow of
viscous fluid, detemine the equation of the velocity profile and the volume flow rate, Q.
Calculate the Reynold number for the flow to justify that the flow is indeed laminar.
[Lubricating oil properties: µ = 72.5 x 10° kg/m.s and p = 865 kg/m³]
1.0 m
Pin
y
Pout
0.8 m
V
Figure Q4
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