EB, Parallel Pipes. Water flows into a smooth wall piping system through a pump which can provide a pressure head (Pg/pg = 30m) in the inlet manifold of the piping system. Water exits and enters the system at Pg = 0. The two pipe sections have: L1= 200m, D1 = 4cm; L2 = 100m, D2 = 2cm; 1= 2 = 0. For each of the two configurations pictured, find the total flow rate, Q, and pump power, Wp for (a) pipes in series; and (b) pipes in parallel. Neglect all minor losses in the inlet and exit piping manifolds and assume AV2 - 0 between the system inlet and outlet to and from the manifold. Hint: for parallel pipes the head loss is the same for each pipe and equal to the total pump head. SI constant Patm = 10^5 Pa; pwater - 1000 kg/m^3; pair - 1.2kg/m^3; µwater - 10^-3 N•s/m^2; μair - 2 x 10^-5 N•s/m^2 ; g = 9.8 m/s^2 Expecting unit for (a) series: Q: 10^-4 m^3/s, Wp: 10^2W; (b) parallel: Q: 10^-3 m^3/s, Wp: 10^3 W. L, D Lo. D₂

Introduction to Chemical Engineering Thermodynamics
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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EB, Parallel Pipes. Water flows into a smooth wall piping system through a pump which can
provide a pressure head (Pg/pg = 30m) in the inlet manifold of the piping system. Water exits
and enters the system at Pg = 0. The two pipe sections have: L1= 200m, D1 = 4cm; L2 =
100m, D2 = 2cm; 1= 2 = 0. For each of the two configurations pictured, find the total flow
rate, Q, and pump power, Wp for (a) pipes in series; and (b) pipes in parallel. Neglect all minor
losses in the inlet and exit piping manifolds and assume AV2 - 0 between the system inlet
and outlet to and from the manifold. Hint: for parallel pipes the head loss is the same for each
pipe and equal to the total pump head.
SI constant Patm = 10^5 Pa; pwater - 1000 kg/m^3; pair ~ 1.2kg/m^3; μwater ~ 10^-3
N•s/m^2; Hair - 2 x 10^-5 N•s/m^2; g = 9.8 m/s^2
Expecting unit for (a) series: Q: 10^-4 m^3/s, Wp: 10^2W; (b) parallel: Q: 10^-3 m^3/s, Wp:
10^3 W.
Li, D.
La. De
Li, D.
L. 0₂
Transcribed Image Text:EB, Parallel Pipes. Water flows into a smooth wall piping system through a pump which can provide a pressure head (Pg/pg = 30m) in the inlet manifold of the piping system. Water exits and enters the system at Pg = 0. The two pipe sections have: L1= 200m, D1 = 4cm; L2 = 100m, D2 = 2cm; 1= 2 = 0. For each of the two configurations pictured, find the total flow rate, Q, and pump power, Wp for (a) pipes in series; and (b) pipes in parallel. Neglect all minor losses in the inlet and exit piping manifolds and assume AV2 - 0 between the system inlet and outlet to and from the manifold. Hint: for parallel pipes the head loss is the same for each pipe and equal to the total pump head. SI constant Patm = 10^5 Pa; pwater - 1000 kg/m^3; pair ~ 1.2kg/m^3; μwater ~ 10^-3 N•s/m^2; Hair - 2 x 10^-5 N•s/m^2; g = 9.8 m/s^2 Expecting unit for (a) series: Q: 10^-4 m^3/s, Wp: 10^2W; (b) parallel: Q: 10^-3 m^3/s, Wp: 10^3 W. Li, D. La. De Li, D. L. 0₂
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