Ch 3. Fluid Kinematics Multimedia Engineering Fluids FlowDescriptions Steady &Unsteady Streamlines,Streaklines Velocity &Acceleration IrrotationalFlow
 Chapter 1. Basics 2. Fluid Statics 3. Kinematics 4. Laws (Integral) 5. Laws (Diff.) 6. Modeling/Similitude 7. Inviscid 8. Viscous 9. External Flow 10. Open-Channel Appendix Basic Math Units Basic Equations Water/Air Tables Sections Search eBooks Dynamics Statics Mechanics Fluids Thermodynamics Math Author(s): Chean Chin Ngo Kurt Gramoll ©Kurt Gramoll

 FLUID MECHANICS - CASE STUDY Introduction Free Vortex Tom was told that a steady free vortex is considered one type of irrotational flow. However, he is not convinced, and he would like to prove it mathematically. The velocity components of a two-dimensional free vortex are given by:      vr = 0    and    vθ = K/r where K is a constant and represents the strength of the vortex. Questions Show that the vorticity of the free vortex is zero. Find the velocity potential associated with the free vortex. Approach Use polar coordinate system in the analysis. Assume the flow is steady.

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