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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; 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

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
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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**EB, Parallel Pipes: Educational Overview** In this scenario, water flows into a smooth wall piping system through a pump capable of providing a pressure head (Pg/pg = 30m) at the system's inlet manifold. Water exits with a system pressure of Pg = 0. The piping system comprises two sections: - **Section 1:** Length (L1) = 200m, Diameter (D1) = 4cm - **Section 2:** Length (L2) = 100m, Diameter (D2) = 2cm - Entrance loss coefficients: ε1 = ε2 = 0 The task is to calculate the total flow rate (Q) and pump power (Wp) for two configurations: 1. **Pipes in Series (Diagram a):** The flow sequentially passes through each pipe section. 2. **Pipes in Parallel (Diagram b):** The flow is split between two parallel paths before recombining. **Assumptions:** - Neglect minor losses in the inlet and exit piping manifolds. - Assume a negligible pressure drop (ΔV2 ~ 0) between the inlet/outlet and the manifold. - For parallel pipes, the head loss is equal for each pipe and matches the total pump head. **Diagrams Explanation:** - **Diagram (a):** Depicts pipes in series. The single flow line passes through L1, followed by L2. - **Diagram (b):** Illustrates pipes in parallel. The flow splits into two branches after the pump, passing through L1 and L2 simultaneously, before merging back into a single exit flow. **Given Parameters:** - Standard pressure: Patm = 10^5 Pa - Density of water: ρwater = 1000 kg/m^3 - Density of air: ρair = 1.2 kg/m^3 - Dynamic viscosity of water: μwater = 10^-3 Ns/m^2 - Dynamic viscosity of air: μair = 2 x 10^-5 Ns/m^2 - Gravity: g = 9.8 m/s^2 **Expected Units:** - For series configuration: - Flow rate, Q: 10^-4 m^3/s - Pump power, Wp: 10^2W - For parallel configuration: - Flow rate, Q: 10^-3
Transcribed Image Text:**EB, Parallel Pipes: Educational Overview** In this scenario, water flows into a smooth wall piping system through a pump capable of providing a pressure head (Pg/pg = 30m) at the system's inlet manifold. Water exits with a system pressure of Pg = 0. The piping system comprises two sections: - **Section 1:** Length (L1) = 200m, Diameter (D1) = 4cm - **Section 2:** Length (L2) = 100m, Diameter (D2) = 2cm - Entrance loss coefficients: ε1 = ε2 = 0 The task is to calculate the total flow rate (Q) and pump power (Wp) for two configurations: 1. **Pipes in Series (Diagram a):** The flow sequentially passes through each pipe section. 2. **Pipes in Parallel (Diagram b):** The flow is split between two parallel paths before recombining. **Assumptions:** - Neglect minor losses in the inlet and exit piping manifolds. - Assume a negligible pressure drop (ΔV2 ~ 0) between the inlet/outlet and the manifold. - For parallel pipes, the head loss is equal for each pipe and matches the total pump head. **Diagrams Explanation:** - **Diagram (a):** Depicts pipes in series. The single flow line passes through L1, followed by L2. - **Diagram (b):** Illustrates pipes in parallel. The flow splits into two branches after the pump, passing through L1 and L2 simultaneously, before merging back into a single exit flow. **Given Parameters:** - Standard pressure: Patm = 10^5 Pa - Density of water: ρwater = 1000 kg/m^3 - Density of air: ρair = 1.2 kg/m^3 - Dynamic viscosity of water: μwater = 10^-3 Ns/m^2 - Dynamic viscosity of air: μair = 2 x 10^-5 Ns/m^2 - Gravity: g = 9.8 m/s^2 **Expected Units:** - For series configuration: - Flow rate, Q: 10^-4 m^3/s - Pump power, Wp: 10^2W - For parallel configuration: - Flow rate, Q: 10^-3
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