A flat channel of depth 1 m has a fully developed laminar

Chapter 4, Problem 15HP

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QUESTION:

Problem 15HP

A flat channel of depth 1 m has a fully developed laminar flow of air at P0, T0 with a velocity profile of V = 4Vcx(H − x)/H2, where Vc is the velocity on the centerline and x is the distance across the channel, as shown in Fig. P4.15. Find the total mass flow rate and the average velocity both as functions of Vc and H.

FIGURE P4.15

Questions & Answers

QUESTION:

Problem 15HP

A flat channel of depth 1 m has a fully developed laminar flow of air at P0, T0 with a velocity profile of V = 4Vcx(H − x)/H2, where Vc is the velocity on the centerline and x is the distance across the channel, as shown in Fig. P4.15. Find the total mass flow rate and the average velocity both as functions of Vc and H.

FIGURE P4.15

ANSWER:

Solution 15HP

Step 1 of 3

We are required to calculate the mass flow rate and the average velocity from the data given.

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