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Sunday, 7 October 2018

FLOW THROUGH PIPES IN PARALLEL

We were discussing the concept of laminar and turbulent flowReynolds experimentfrictional loss in pipes, derivation of expression for loss of head due to friction in pipesco-efficient of friction in terms of shear stressbasics of shear stress in turbulent flowminor head losses in pipe flow, hydraulic gradient and total energy line, basic concept and working of syphon and also the concept of flow through pipes in series, in the subject of fluid mechanics, in our recent posts. 

Now we will go ahead to see the, flow through pipes in parallel, in the subject of fluid mechanics, with the help of this post. 

Flow through pipes in parallel 

When pipes of same lengths and different diameters are connected separately in order to increase the discharge, such arrangement or connection of pipes will be considered as pipes in parallel.  

Let us define the concept of pipes connected in parallel. 

If a main pipe is divided into two or more than two branches and joined again together downstream to form a single pipe line, such arrangement of connection of pipes will be considered as pipes in parallel. 

Important Point:  

The rate of flow or discharge passing through main pipe line will be equal to the sum of discharge through branch pipes. 

Loss of head for each branch pipe will be same in case of pipes connected in parallel. 
Loss of head for branch pipe 1 = Loss of head for branch pipe 2 

Let us see the following figure. Pipe A and pipe B are connected in parallel as displayed here in following figure. 


Let us consider the following terms from above figure  

DA and DB: Diameter of pipes A and B respectively 
QA and QB: Discharge of pipes A and B respectively  

Total discharge through main pipe line = QA + Q

Further we will go ahead to find out the basic concept of flow through branched pipesin the subject of fluid mechanics, with the help of our next post.  

Do you have any suggestions? Please write in comment box. 

Reference:   

Fluid mechanics, By R. K. Bansal   
Image courtesy: Google  

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