In a circular tube the diameter changes abruptly from d1 = 2 m to d2 = 3 m. the flow velocity in the part with smaller diameter is vi = 3 m/s. determine if for water in the both parts of the tube there is laminar flow or tubulent flow. the kinematic viscosity of water is v= 1.24. 10^-6

The flow is turbulent at both the parts of the tube.

Explanation:

Given:  

Water is flowing in circular tube.  

Inlet diameter is m.  

Outlet diameter is m.  

Inlet velocity is m/s.  

Kinematic viscosity is m²/s.  

Concept:

Apply continuity equation to find the velocity at outlet.  

Apply Reynolds number equation for flow condition.  

Step1  

Apply continuity equation for outlet velocity as follows:  

Substitute the values in the above equation as follows:  

m/s.  

Step2

Apply Reynolds number formula for the flow condition at inlet as follows:  

Re=4838709.677  

Apply Reynolds number formula for the flow condition at outlet as follows:  

Re=3225806.452  

Thus, the Reynolds number is greater than 2000. Hence the flow is turbulent.  

Hence, the flow is turbulent at both the parts of the tube.  

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