# Consider a steady, two-dimensional flow field in the xy-plane whose x-component of velocity is given by where a, b, and

## Question:

Consider a steady, two-dimensional flow field in the xy-plane whose x-component of velocity is given by

where a, b, and c are constants with appropriate dimensions. Of what form does the y-component of velocity need to be in order for the flow field to be incompressible? In other words, generate an expression for ν as a function of x, y, and the constants of the given equation such that the flow is incompressible.

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**Related Book For**

## Fluid Mechanics Fundamentals And Applications

**ISBN:** 9780073380322

3rd Edition

**Authors:** Yunus Cengel, John Cimbala

**Question Details**

Chapter #

**4**- Fluid kinematicsSection: Problems

Problem: 97

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