Calculate Head Loss in a Pipeline with Different Formulas

How can we calculate head loss in a pipeline using different formulas?

Given the data of a pipeline with a diameter of 0.60 m, carrying 0.4 m³/s of water over a length of 30 m, we need to compute the head loss using three formulas: Darcy-Weisbach, Manning, and Hazen-Williams.

Calculation of Head Loss:

The head loss can be computed using the following formulas: 1. Darcy-Weisbach Formula 2. Manning Formula 3. Hazen-Williams Formula

Explanation:

1. Darcy-Weisbach Formula: The head loss can be calculated using the Darcy-Weisbach equation by considering the friction factor, length, diameter, velocity of flow, and acceleration due to gravity.

2. Manning Formula: The head loss using Manning formula requires the Manning's roughness coefficient, discharge, area, and length of the pipeline.

3. Hazen-Williams Formula: The head loss can also be determined using the Hazen-Williams equation, taking into account the length, diameter, Hazen-Williams coefficient, discharge, and area.

By plugging in the values for each formula, we can calculate the head losses for the given pipeline. The computed head losses are 2.27 m, 2.34 m, and 2.38 m for the Darcy-Weisbach, Manning, and Hazen-Williams formulas, respectively.