# A well-known exact solution to the Navier-Stokes equation (4.38) is the unsteady circulating motion [15] Where K

## Question:

Where K is a constant and ν is the kinematic viscosity. Does this flow have a polar coordinate stream function and/or velocity potential? Explain. Evaluate the circulation Γ for this motion, plot it versus r for a given finite time, and interpret compared to ordinary line vortex motion.

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**Related Book For**

## Fundamentals of Thermodynamics

**ISBN:** 978-0471152323

6th edition

**Authors:** Richard E. Sonntag, Claus Borgnakke, Gordon J. Van Wylen