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Hydraulic Engineering. Eng. Osama Dawoud. Lecture 6. Branching in Pipelines. Branching pipe systems. Branching in pipes occur when water is brought by pipes to a junction when more than two pipes meet. This system must simultaneously satisfy two basic conditions:

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## Hydraulic Engineering

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**Hydraulic Engineering**Eng. Osama Dawoud**Lecture 6**Branching in Pipelines**Branching pipe systems**Branching in pipes occur when water is brought by pipes to a junction when more than two pipes meet. This system must simultaneously satisfy two basic conditions: 1 – the total amount of water brought by pipes to a junction must equal to that carried away from the junction by other pipes. 2 – all pipes that meet at the junction must share the same pressure at the junction. Pressure at point J = P**Consider a case where three reservoirs are connected by a**branched-pipe system. There are two types of Branching pipe problem: 1- The problem is to determine the discharge in each pipe and the pressure head at the junction (point J). Four unknowns: Q in each pipe and P at J Given: All pipes parameters All Tanks elevation The solution based on: 1- Assuming the pressure at J and then estimate the value of hf in each pipe 2- Calculate the flow in each pipe and check 3- try the last procedure until**2-**The problem is to determine the flow in two pipes and the pressure head at the Junction J. Three unknown: Q in two pipe and P at J Given: All pipes parameters Q in a pipe two Tanks elevation The solution based on: 1- Determine the pressure at J by calculate hf in pipe with known Q 2- Estimate the value of hf in the other pipe 2- Calculate the flow in the other pipes**Example 1**In the following figure determine the flow in each pipe**Trial 1**ZP= 110m Applying Bernoulli Equation between A , J : V1 = 1.57 m/s , Q1 = 0.111 m3/s Applying Bernoulli Equation between B , J : V2 = 1.08 m/s , Q2 = - 0.212 m3/s**Applying Bernoulli Equation between C , J :**V3 = 2.313 m/s , Q2 = - 0.291 m3/s**Trial 2**ZP= 100m Trial 3 ZP= 90m**Example 2**In the following figure determine the flow in pipe BJ & pipe CJ. Also, determine the water elevation in tank C**Solution**Applying Bernoulli Equation between A , J : Applying Bernoulli Equation between B , J :**Group Work 1**Find the flow in each pipe**Group Work 2**• Determine the flow if • The valve is closed • The valve is open and the flow through the small pipe = 100L/S

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