GATE ME 2022 Set 1 — Question 63
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Fluid Mechanics → Fluid Kinematics & Dynamics → Local, Convective & Material Acceleration
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Question
A steady two-dimensional flow field is specified by the stream functionwhere and are in meter and the constant . The magnitude of acceleration at a point is ________ (round off to 2 decimal places).
Correct answer
4.2 to 4.28
Solution
Given stream function: with Step 1: Find velocity components and :
At : , Step 2: Find acceleration components and :
Step 3: Evaluate acceleration at with :
Step 4: Calculate magnitude of acceleration ():
Rounding to 2 decimal places, the magnitude is .
At : , Step 2: Find acceleration components and :
Step 3: Evaluate acceleration at with :
Step 4: Calculate magnitude of acceleration ():
Rounding to 2 decimal places, the magnitude is .
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