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Chapter 5 Dimensional Analysis and Similarity

Chapter 5 Dimensional Analysis and Similarity For axial flow through a circular tube, the Reynolds number for transition to turbulence is approximately 2300 [see Eq. ( )], based upon the diameter and average velocity. If d = 5 cm and the fluid is kerosene at 20 C, find the volume flow rate in m3/h which causes transition. Solution: For kerosene at 20 C, take = 804 kg/m3 and = kg/m s. The only unknown in the transition Reynolds number is the fluid velocity: trVd(804)V( )Re2300, solve for === 32mThen QVA( )( ) 4 3600 4sAns. === A prototype automobile is designed for cold weather in Denver, CO (-10 C, 83 kPa).

Chapter 5 • Dimensional Analysis and Similarity 5.1 For axial flow through a circular tube, the Reynolds number for transition to turbulence is approximately 2300 [see Eq. (6.2)], based upon the diameter and average velocity. If d = 5 cm and the fluid is kerosene at 20°C, find the volume flow rate in m3/h which causes transition. Solution: For kerosene at 20°C, take ρ = 804 kg/m3 …

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