PLEASE BOX YOUR ANSWERS The water flowrate, Q in an open rectangular channel is a function of height, H, the channel width, b, and gravity, g. In a lab test it was determined that if b = 3 ft and H = 4 in., then Q = 1.96 ft³/s. Take H and g as repeating variables to determine an equation for the flowrate if it known that Q is directly proportional to the channel width, b. Problem-3

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PLEASE BOX YOUR ANSWERS
Problem-3
The water flowrate, Q in an open rectangular channel is a function of
height, H, the channel width, b, and gravity, g. In a lab test it was determined that if b = 3 ft
= 1.96 ft/s. Take H and g as repeating variables to determine an
equation for the flowrate if it known that Q is directly proportional to the channel width, b.
and H = 4 in., then Q
Transcribed Image Text:PLEASE BOX YOUR ANSWERS Problem-3 The water flowrate, Q in an open rectangular channel is a function of height, H, the channel width, b, and gravity, g. In a lab test it was determined that if b = 3 ft = 1.96 ft/s. Take H and g as repeating variables to determine an equation for the flowrate if it known that Q is directly proportional to the channel width, b. and H = 4 in., then Q
Expert Solution
Step 1

Understand that here the flow rate is a function of the three variables.

Mechanical Engineering homework question answer, step 1, image 1

Write the total number of variables in the problem.

Mechanical Engineering homework question answer, step 1, image 2

Understand that all the variables are the function of the two fundamental dimensions length and time.

Thus, write the no of dimensionless π terms.

Mechanical Engineering homework question answer, step 1, image 3

Step 2

Taking H and g as repeating variables,

Write the expression for the first dimensionless π terms

Mechanical Engineering homework question answer, step 2, image 1

Mechanical Engineering homework question answer, step 2, image 2

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