(Laminar flow) A fluid flows through two horizontal pipes of equal length which are connected together to form a pipe of length 2l. The flow is laminar and fully developed. The pressure drop for the first pipe is 1.44 times greater than it is for the second pipe. If the diameter of the first pipe is D, determine the diameter of the second pipe.

The diameter of the second pipe is

Explanation:

From the question we are told that

       The length of the connected pipe is  

        The pressure drop for the first pipe is  

        The diameter of the pipe is  

The rate at which the fluid flows for laminar flow is mathematically represented as

Where L is the length of the pipe

            is the dynamic viscosity

          is the difference in pressure

          is the flow rate of the fluid

From the equation of continuity

Where is the flow rate in pipe one

            is the flow rate in pipe two

So

Where is the diameter of the second pipe

=>    

=>  

490 n

f=125n a=2.5m/s2