Length Of Pipe For Loss Of Pressure Head In Viscous Flow Calculator

Formula Used:

\[ L = \frac{h_f \cdot \rho \cdot [g] \cdot D_p^2}{32 \cdot \mu \cdot V} \]

Loss of Peizometric Head (h_f):

Density of Liquid (ρ):

kg/m³

Diameter of Pipe (D_p):

Viscosity of Fluid (μ):

Pa·s

Velocity of Fluid (V):

m/s

Length of Pipe (L):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Length of Pipe Formula?

The formula calculates the length of pipe required for a given loss of piezometric head in viscous flow through a circular pipe. It's derived from the Hagen-Poiseuille equation for laminar flow conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L = \frac{h_f \cdot \rho \cdot [g] \cdot D_p^2}{32 \cdot \mu \cdot V} \]

Where:

\( L \) — Length of pipe (m)
\( h_f \) — Loss of piezometric head (m)
\( \rho \) — Density of liquid (kg/m³)
\( [g] \) — Gravitational acceleration (9.80665 m/s²)
\( D_p \) — Diameter of pipe (m)
\( \mu \) — Viscosity of fluid (Pa·s)
\( V \) — Velocity of fluid (m/s)

Explanation: The formula relates pipe length to head loss, accounting for fluid properties and flow characteristics in viscous flow conditions.

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 consistent SI units. Ensure positive values for all parameters. The calculator assumes laminar flow conditions (Re < 2300).

5. Frequently Asked Questions (FAQ)

Q1: What flow regime does this formula apply to?
A: This formula applies to laminar flow conditions where Reynolds number is less than 2300.

Q2: Can this be used for turbulent flow?
A: No, this formula is specifically derived for laminar viscous flow. Different equations are needed for turbulent flow conditions.

Q3: What are typical values for fluid viscosity?
A: Water at 20°C has viscosity of about 0.001 Pa·s, while oils can range from 0.01 to 1 Pa·s or higher.

Q4: How does pipe diameter affect the length calculation?
A: Length is proportional to the square of diameter, so small changes in diameter significantly affect the required pipe length.

Q5: What are practical applications of this calculation?
A: Used in designing water supply systems, oil pipelines, chemical processing plants, and any system involving viscous fluid transport through pipes.