Water at 98 f flows in a pipe 4 inches in diamter and 870 feet in length at a rate of 260 gallons per minute (gpm). what is the reynolds number?

Reynolds number is 293068.43.

Explanation:

Step1

Given:

Water temperature is 98 °F.

Diameter of the pipe is 4 in

Length of the pipe is 870 feet.

Flow rate of water is 260 gallons per minute.

Calculation:

Step2

Water kinematic viscosity at temperature 98 F is ft²/s.

Find the velocity of the water as follows:

Q=AV

V=6.638 ft/s

Step3

Expression for Reynolds number is given as follows:

Here, v is velocity, is kinematic viscosity, d is diameter and Re is Reynolds number.

Substitute the values in the above equation as follows:

Re= 293068.43

Thus, the Reynolds number is 293068.43.