Concept explainers
The velocities with actual form of stocks theorem and compare with actual determined value.
Answer to Problem 19P
The theoretical velocities for all different cases are
Explanation of Solution
Given information:
Actual stokes law is
Concept used:
For constant velocity of ball under glycerin, the relation for summation of forces on the ball is expressed as follows:
Here, drag force is
Calculation:
Substitute
For first case:
Substitute
On solving quadratic equation, the value of
Difference between actual and theoretical velocity is calculated as follows:
For second case:
Substitute
On solving quadratic equation, the value of
Difference between actual and theoretical velocity is calculated as follows:
For Third case:
Substitute
On solving quadratic equation, the value of
Difference between actual and theoretical velocity is calculated as follows:
Thus, the theoretical velocities for all different cases are
Conclusion:
The theoretical velocities for all different cases are
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Chapter 10 Solutions
Fluid Mechanics: Fundamentals and Applications
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