A fluid flows though a horizontal 0.1 inch diameter pipe. When the Reynold number is 1508, the head loss over a 20-ft length of the pipe is 6.2 ft. Determine the fluid velocity.

The fluid velocity V = 1.98 ft/s

Explanation:

From the information given:

The fluid velocity can be determined from the head-loss of a laminar pipe and it is expressed as:

where;

f = frictional factor ; l = length; D = diameter; V= fluid velocity and g = acceleration due to gravity.

And;

For fluid movement in a laminar flow, the Reynolds number (Re) is usually lesser than 2100.

Given that:

Re = 1508 < 2100   ( laminar flow)

Then;

f = 0.04244

Also;

the head-loss = 6.2 ft

frictional force f = 0.04244

length = 20-ft

acceleration due to gravity (g) = 32.2 ft/s²

Replacing all the values into the equation ; the fluid velocity is:

6.2 × 0.53667 = 0.04244 × 20 × V²

3.327354  = 0.8488 × V²

V = 1.98 ft/s

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