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Sample calculations - Sample calculations In order to solve...

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Sample calculations: In order to solve for the density of the Helium gas at 3.2 atm of pressure, the ideal gas relationship was utilized at ambient conditions (23˚C), 3 324,240 0.527 / (2077 / )(296 ) P Pa Kg m RT J Kg K ρ = = = Velocity of the fluid, Based on the results, the Reynolds number can be solved by using The friction factor f can now be obtained by using the Colebrook equation, Consequently, the total minor head loss can be computed from, Furthermore, the total head loss of the system can be obtained by using the inlet and outlet conditions; noticing that the H required is equal to h pump as shown below: ( 29 2 2 2 1 2 2 1 1 2 1 , (Eq. 14-6 C&C) 2 required L total required pump P P V V H Z Z h g g H h α α ρ - - = + + - + = 2 3 2 4 (Eq. 8-27 Cengel) 4(0.1 / sec) 5.51 / sec (0.152 ) V V V A D V m V m A m = = Π = = = Π g g g 3 6 Re (Eq. 8-3 Cengel) (0.527 / )(5.51 / sec) Re 53186 8.30 10 / ( .sec) VD VD Kg m m D x Kg m ρ ν μ - = = = = 1 2.51 2.0 (Colebrook Eq. 8-50 Cengel) 3.7 Re 0.020643 D f f f ε = - + 2 , 2 , 2 (Eq. 8-59 Cengel) 2 150 (5.51 / sec) 0.020643 0.3(5) 31.56 0.152 2(9.81 / sec ) L total L L total L V h f K D g m m h m m m
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