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Calculating the pressure drop due to friction in a pipe

To calculate the pressure drop due to friction in a pipe, we can use the Darcy-Weisbach equation:

h_f = f * L / D * V^2 / (2 * g)

• D is the inner diameter of the pipe (m)

• V is the average velocity of the fluid in the pipe (m/s)

Determining the friction factor

• Re is the Reynolds number

• D is the inner diameter of the pipe (m)

epsilon / D

where:

Using the Moody chart to determine the friction factor

Assuming a temperature of 5 degrees Celsius, the density of water is 999.972 kg/m^3 and the dynamic viscosity of water is 1.519 mPa*s. Therefore, the Reynolds number is:

Re = 0.01 m * 0.68 m/s * 999.972 kg/m^3 / 1.519 mPa*s

Step 3: Use the Moody chart to determine the friction factor

Using the Moody chart, we can determine the friction factor for a Reynolds number of 44653.4 and a relative roughness of 0.015. The friction factor is approximately 0.0038.

Calculating the pressure drop due to friction

The pressure drop due to friction is therefore 1.42 m of water head. To convert this to Pascals, we can use the following conversion factor:

1 m of water head = 9806.65 Pa