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No Slip Condition in Fluid Mechanics
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- Definition and Mathematical Expression
- No Slip Condition states fluid velocity at solid boundary is zero
- Mathematical expression: V(y=0) = 0, V(y=h) = V
- Fluid adheres to solid surface without relative motion
- Applications and Examples
- Common in car windshield wipers and river flow around stationary rocks
- Essential for analyzing fluid flow around objects and through pipes
- Used in Computational Fluid Dynamics (CFD) simulations
- Causes and Influencing Factors
- Caused by molecular attraction between fluid and solid surface
- Affected by fluid viscosity and temperature
- Solid surface roughness affects fluid-surface interaction
- Scientific Significance
- Forms basis for Navier-Stokes equations describing fluid flow
- Influences velocity profiles and boundary layer formation
- Essential for predicting fluid behavior in various engineering systems