Fluid Mechanics (2nd Edition)
Fluid Mechanics (2nd Edition)
2nd Edition
ISBN: 9780134649290
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 11, Problem 1P
To determine

Critical transition distance.

Expert Solution & Answer
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Explanation of Solution

Given:

The free stream velocity of the oil (U) is 4 ft/s.

The temperature of the oil (T) is 68°F.

Calculation:

Consider the flow is steady and the kerosene is incompressible.

Refer Appendix A, “Physical Properties of Liquids at Standard Atmospheric Pressure 14.70 psi, and 68°F (FPS Units)”

The transition from a laminar boundary layer takes place at a critical Reynolds number (Rex)cr of 5×105.

The density of the kerosene (ρke) is 1.58 slug/ft3.

The kinematic viscosity (vke) is 25.4×106 ft2/s.

Write the Expression for the Reynolds numbers (Rex)cr in terms of specific weight.

  (Rex)cr=Uxcvke5×105=4 ft/s×xcr25.4×106 ft2/sxcr=3.175 ft

Thus, the critical distance for transition is 3.175 ft_.

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Chapter 11 Solutions

Fluid Mechanics (2nd Edition)

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