GATE CE 2020 Set 2 — Question 34
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Water Resources Engineering → Laminar & Turbulent Flow → Boundary Layer Theory
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Question
Velocity distribution in a boundary layer is given by , where is the velocity at vertical coordinate , is the free stream velocity and is the boundary layer thickness. The values of and are and , respectively. The velocity gradient (in , round off to two decimal places) at , is ________________.
Correct answer
0.45 to 0.49
Solution
Given:
Velocity distribution:
Step 1: Differentiate with respect to :Step 2: Evaluate the gradient at :Rounding off to two decimal places, the velocity gradient is .
Velocity distribution:
Step 1: Differentiate with respect to :Step 2: Evaluate the gradient at :Rounding off to two decimal places, the velocity gradient is .
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