Concept explainers
The normal acceleration of particle passing through
Answer to Problem 97P
The normal acceleration of particle passing through
Explanation of Solution
The
Write the streamline equation for velocity field.
Here, the velocity in
Write the expression for first derivative of
Here, the first derivative of
Substitute
Substitute
Differentiate Equation (III) with respect to
Substitute
Write the expression for the radius of curvature of streamline.
Write the expression for the velocity field of flow.
Write the expression for the resultant velocity.
Write the expression for the normal acceleration.
Calculation:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
The normal acceleration of particle passing through is calculated by the expression
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