Chapter07

# Mechanics of Fluids

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121 CHAPTER 7 Internal Flows 7.1 Re . = = × - V D V D n 1 10 6 a) 2000 2 1 10 0 001 6 = × × = - V V . . . m / s b) 2000 02 1 10 0 1 6 = × × = - V V . . . . m / s c) 2000 002 1 10 1 0 6 = × × = - V V . . . . m / s 7.2 Re . = = × - Vh Vh n 1 10 6 a) 2 2 2 2 0 0 1 1 ( ) ( ) ( ). 4 4 k k dp p u r r r r r dx L m m = - = - b) 6 1 1500 . 0.0015 m/s. 1 10 V V - × = = × c) 6 0.3 1500 . 0.005 m/s. 1 10 V V - × = = × 7.3 Re .5 . / . . = = × × = - Vh n 1 2 12 1 4 10 1790 5 Using R crit , the flow is turbulent = 1500 . 7.4 Re ( / ) . = = × = - Vh n 1 2 1 4 10 700 6 000. Very turbulent 7.5 Re . = V D n a) V D = × = × = - Re . . . n 2000 10 0 02 0 1 6 m / s b) V D = × = × = - Re . . n 40 10 0 02 2 6 000 m / s 7.6 L D VD V E = = = × = 0 065 0002 02 1592 2 . Re Re . . . . m / s. n p a) L E = × × × = - . . . . . . . 065 1592 04 131 10 04 12 6 6 m b) L E = × × × = - . . . . . . . 065 1592 04 1007 10 04 16 4 6 m c) L E = × × × = - . . . . . . . 065 1592 04 661 10 04 25 0 6 m d) L E = × × × = - . . . . . . . 065 1592 04 367 10 04 45 1 6 m

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