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Consider a typical situation involving the flow of a fluid that you encounter almost every day. List what you think are the important physical variables involved in this flow and determine an...

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Consider a typical situation involving the flow of a fluid that you encounter almost every day. List what you think are the important physical variables involved in this flow and determine an appropriate set of pi terms for this situation.

 

Q

Answered Same Day Dec 25, 2021

Solution

David answered on Dec 25 2021
124 Votes
Flow of water though the pipe is one of the best example that we encounter in daily life.
The flow of water through the pipe is a function of:
Here, diameter is D, length of pipe is I, Dynamic viscosity is , the acceleration of gravity g and
density of fluid is
Calculate the dimensions of the variables used in the above defined problem.
Here, express the dimensions in terms of MLT system.
Now apply pi theorem to determine the required number of pi term. Let us use M, L and T as our
system of basic dimension. There are total six variables (n) and three reference dimensions (M, L
and T) denoted by r.
Calculate the number of dimension numbers or pi terms by using the following...
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