# In Chap. 9, we define the stream function for two-dimensional incompressible flow in the xy-plane, where u and v

## Question:

In Chap. 9, we define the stream function ψ for two-dimensional incompressible flow in the xy-plane,

where u and v are the velocity components in the x- and y-directions, respectively.

(a) What are the primary dimensions of ψ?

(b) Suppose a certain two-dimensional flow has a characteristic length scale L and a characteristic time scale t. Define dimensionless forms of variables x, y, u, v, and ψ.

(c) Rewrite the equations in non dimensional form, and identify any established dimensionless parameters that may appear.

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**Related Book For**

## Fluid Mechanics Fundamentals And Applications

**ISBN:** 9780073380322

3rd Edition

**Authors:** Yunus Cengel, John Cimbala

**Question Details**

Chapter #

**7**- DIMENSIONAL ANALYSIS AND MODELINGSection: Problems

Problem: 31

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