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A pipe delivering water across a T-section is leaking through a tiny hole. Assumptions and data sets. Temperature of the system/surrounding (T) is the same

A pipe delivering water across a T-section is leaking through a tiny hole. Assumptions and data sets. Temperature of the system/surrounding (T) is the same at 20oC (Adiabatic) (Tip - 20oC = 293 K). The Boltzmann constant (R) is given as 1.38 * 10-23 m2.kg.s-2.K-1. The description of the pipe system is shown in Figure 1. The flow is steady and the liquid is incompressible. The pipes are uniforms and each section has a constant diameter. The fluid is water with a density of 1000 kg/m3 at 20oC. Figure 1 is available on the link below Q1 Assuming no frictions, what is the mean value of V2 at steady state operation in the center of the pipe? Q2 What would be the value of V2, assuming no frictions, if the hole in Q4 was fixed? Q3 Assuming that the frictions in the T-section are not negligible and reduce the velocity of each line by a factor 0.2% per cm of diameter of pipe, due to the surface to volume interactions and the large control volume leading to a pressure loss. What would be the values of V2 and V3, assuming that the hole is blocked?

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