Length of Pipe given Pressure Head Drop Calculator

Formula Used:

\[ L_p = \frac{\gamma_f \cdot w \cdot w \cdot h_{location}}{12 \cdot \mu \cdot V_{mean}} \]

Specific Weight of Liquid (γ_f):

kN/m³

Width (w):

Head Loss due to Friction (h_location):

Dynamic Viscosity (μ):

Pa·s

Mean Velocity (V_mean):

m/s

Length of Pipe (L_p):

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1. What is the Length of Pipe Formula?

The Length of Pipe formula calculates the required pipe length based on fluid properties and flow characteristics. It considers specific weight of liquid, pipe width, head loss due to friction, dynamic viscosity, and mean velocity of the fluid.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L_p = \frac{\gamma_f \cdot w \cdot w \cdot h_{location}}{12 \cdot \mu \cdot V_{mean}} \]

Where:

\( L_p \) — Length of Pipe (m)
\( \gamma_f \) — Specific Weight of Liquid (kN/m³)
\( w \) — Width (m)
\( h_{location} \) — Head Loss due to Friction (m)
\( \mu \) — Dynamic Viscosity (Pa·s)
\( V_{mean} \) — Mean Velocity (m/s)

Explanation: The formula calculates pipe length by considering the balance between driving forces (specific weight and head loss) and resisting forces (viscosity and flow velocity).

3. Importance of Pipe Length Calculation

Details: Accurate pipe length calculation is crucial for proper system design, ensuring adequate flow rates, maintaining pressure requirements, and optimizing energy consumption in fluid transport systems.

4. Using the Calculator

Tips: Enter all values in appropriate units. Specific weight in kN/m³, width in meters, head loss in meters, dynamic viscosity in Pa·s, and mean velocity in m/s. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is specific weight of liquid?
A: Specific weight refers to the weight per unit volume of a substance, typically measured in kN/m³ or N/m³.

Q2: How is head loss due to friction determined?
A: Head loss due to friction is calculated using various formulas like Darcy-Weisbach equation or Hazen-Williams equation, considering pipe roughness, flow velocity, and fluid properties.

Q3: What affects dynamic viscosity?
A: Dynamic viscosity is primarily affected by temperature and the nature of the fluid. It decreases with increasing temperature for liquids and increases for gases.

Q4: Why is mean velocity important?
A: Mean velocity represents the average flow velocity across the pipe cross-section and is crucial for calculating flow rates and Reynolds number.

Q5: What are typical applications of this calculation?
A: This calculation is used in water supply systems, oil pipelines, chemical processing plants, and any system involving fluid transport through pipes.