Length Of Pipe Given Head Loss Over Length Of Pipe With Discharge Calculator

Formula Used:

\[ L_p = \frac{h_{location}}{(128 \cdot \mu \cdot Q)/(\pi \cdot \gamma_f \cdot D_{pipe}^4)} \]

Head Loss due to Friction:

Dynamic Viscosity:

Pa·s

Discharge in Pipe:

m³/s

Specific Weight of Liquid:

N/m³

Diameter of Pipe:

Length of Pipe:

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1. What is the Length of Pipe Calculation?

The Length of Pipe calculation determines the required pipe length based on head loss due to friction, fluid properties, and flow characteristics. It's essential for designing efficient fluid transport systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L_p = \frac{h_{location}}{(128 \cdot \mu \cdot Q)/(\pi \cdot \gamma_f \cdot D_{pipe}^4)} \]

Where:

\( L_p \) — Length of Pipe (m)
\( h_{location} \) — Head Loss due to Friction (m)
\( \mu \) — Dynamic Viscosity (Pa·s)
\( Q \) — Discharge in Pipe (m³/s)
\( \gamma_f \) — Specific Weight of Liquid (N/m³)
\( D_{pipe} \) — Diameter of Pipe (m)
\( \pi \) — Mathematical constant pi (≈3.1416)

Explanation: This formula calculates the pipe length required to achieve a specific head loss given the fluid properties and flow rate.

3. Importance of Pipe Length Calculation

Details: Accurate pipe length calculation is crucial for designing efficient piping systems, minimizing energy losses, and ensuring proper fluid transport in various engineering applications.

4. Using the Calculator

Tips: Enter all values in appropriate units. Head loss, dynamic viscosity, discharge, specific weight, and diameter must all be positive values for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is head loss due to friction?
A: Head loss due to friction is the energy loss that occurs as fluid flows through a pipe, caused by the fluid's viscosity and the pipe's surface roughness.

Q2: How does pipe diameter affect the length calculation?
A: Pipe diameter has a significant impact as it appears to the fourth power in the denominator. Larger diameters allow for longer pipes with the same head loss.

Q3: What is dynamic viscosity?
A: Dynamic viscosity measures a fluid's resistance to flow. Higher viscosity fluids experience greater friction and thus greater head loss.

Q4: When is this calculation typically used?
A: This calculation is used in civil, mechanical, and chemical engineering for designing water supply systems, oil pipelines, and industrial fluid transport systems.

Q5: Are there limitations to this formula?
A: This formula assumes laminar flow conditions and may not be accurate for turbulent flow or non-Newtonian fluids.