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Transport Processes and Separation Process Principles (Includes Unit Operations) Fourth Edition by Christie John Geankoplis

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3.11. DIMENSIONAL ANALYSIS IN MOMENTUM TRANSFER

3.11A. Dimensional Analysis of Differential Equations

In this chapter we have derived several differential equations describing various flow situations. Dimensional homogeneity requires that every term in a given equation have the same units. Then, the ratio of one term in the equation to another term is dimensionless. Knowing the physical meaning of each term in the equation, we are then able to give a physical interpretation to each of the dimensionless parameters or numbers formed. These dimensionless numbers, such as the Reynolds number and others, are useful in correlating and predicting transport phenomena in laminar and turbulent flow.

Often it is not possible to integrate the differential ...

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