in fully developed laminar flow in a circular pipe, the velocity at r/2 (midway between the wall surface and the centerline) is measured to be 10 m/s. determine the velocity at the center of the pipe. the velocity at the center of the pipe is

Answer :

The velocity at the center of the pipe is 13.33 m/s. The further detail can be seen below.

The velocity of an object is the level of change of its position with respect to a frames of reference and is a function of time. The SI of velocity is meter per second or m/s. Velocity is kind of vector quantities.

To determine the velocity at the center of the pipe we can use this formula:

u(r) = 2 x Uavg

The average speed at r = 1/2. R is

Uavg = 10/( 2 x (1 - 1/4)

Uavg = 10/( 2 x 3/4)

Uavg = 10/ (3/2)

Uavg = 10/1.5

Uavg = 6.67

So, the velocity at the center of the pipe is:

Umax = 2 x Uavg

Umax = 2 x 6.67

Umax= 13.33 m/s

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