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#### Concept explainers

The local component of acceleration in

The convective component of acceleration in

The local component of acceleration in

The convective component of acceleration in

The magnitude and direction of velocity at

The magnitude of acceleration at

The direction of acceleration at

## Answer to Problem 1P

The local component of acceleration in

The local component of acceleration in

The convective component of acceleration in

The convective component of acceleration in

The magnitude of acceleration at

The direction of acceleration at

### Explanation of Solution

Write the expression of velocity in a certain two dimensional flow field.

Here, the displacement in

Write the expression of velocity.

Here, the

Compare the term of unit vector from Equation (I) and (II).

Write the expression of local component of acceleration in

Write the expression of local component of acceleration in

Write the expression of convective acceleration in

Write the expression of convective acceleration in

Write the expression of acceleration.

Substitute

Write the expression of acceleration.

Here, the acceleration component in

Write the expression of direction of acceleration.

Write the expression of magnitude of the acceleration.

**Conclusion:**

Substitute

Thus, the local component of acceleration in

Substitute

Thus, the local component of acceleration in

Substitute

Thus, the convective component of acceleration in

Substitute

Thus, the convective component of acceleration in

Substitute

Substitute

Substitute

Thus, The magnitude and direction of velocity at

Substitute

Compare the unit vector of Equation (XI) and (XIV).

Substitute

Thus, the magnitude of acceleration at

Substitute

Thus, the direction of acceleration at

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# Chapter 6 Solutions

Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version