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Thermodynamics HW Solutions 647

Thermodynamics HW Solutions 647 - Chapter 8 Internal Forced...

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Chapter 8 Internal Forced Convection 8-35 The flow rate through a specified water pipe is given. The pressure drop and the pumping power requirements are to be determined. Assumptions 1 The flow is steady and incompressible. 2 The entrance effects are negligible, and thus the flow is fully developed. 3 The pipe involves no components such as bends, valves, and connectors. 4 The piping section involves no work devices such as pumps and turbines. Properties The density and dynamic viscosity of water are given to be ρ = 999.1 kg/m 3 and μ = 1.138 × 10 -3 kg/m s, respectively. The roughness of stainless steel is 0.002 mm (Table 8-3). Analysis First we calculate the mean velocity and the Reynolds number to determine the flow regime: 5 3 3 2 3 2 10 40 . 1 s kg/m 10 138 . 1 m) m/s)(0.04 98 . 3 )( kg/m 1 . 999 ( Re / m 98 . 3 4 / m) (0.04 / m 0.005 4 / × = × = = = = = = μ ρ ππ D s s D V A V m c m V V L = 30 m D = 4 cm Water 5 L/s which is greater than 10,000. Therefore, the flow is turbulent. The
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