What is the significance of the velocity gradient formula u(y) = y(V) / l?

Thread starter hotjohn
Start date Jan 19, 2016
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Gradient Velocity

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The velocity gradient formula u(y) = y(V) / l is significant because it represents how velocity changes with respect to position, specifically in a linear flow scenario. The distinction between velocity and velocity gradient is crucial, as the latter involves differentiation with respect to the vertical position y. Differentiating the equation for u with respect to y provides insight into how velocity varies across different layers of fluid. The formula emphasizes the relationship between velocity, distance, and the characteristic length scale l. Understanding this relationship is essential for analyzing fluid dynamics effectively.

Jan 19, 2016

hotjohn

Homework Statement

why the velocity gradient is given by the formula u(y) = y(V) / l , why not V / l ?

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Jan 19, 2016

BvU

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Where does it say so ?

Jan 19, 2016

Chestermiller

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The equation you wrote is for the velocity, not the velocity gradient. What do you get if you differentiate your equation for u with respect to y?

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