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 is the average velocity of the fluid, and  and  are the up-and downstream pressures. On substitution, the following equation is obtained:
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Let us define, |
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The non–dimensionalized equation is, therefore, written as |
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From the above-equation, it is clear that several approximations can be made to drop–out one or more terms from the equation, depending upon the range of  , the three dimensionless groups obtained for the NS-equation. We will continue our discussion in this lecture to only two approximations of common engineering application: |
- Low Re
- High Re
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