Diameter Of Pipe Given Dynamic Viscosity With Length Calculator

Formula Used:

\[ D_{pipe} = \left( \frac{Q}{\frac{\pi \cdot \gamma_f \cdot H}{128 \cdot L_p \cdot \mu}} \right)^{1/4} \]

Discharge in Laminar Flow (Q):

m³/s

Specific Weight of Liquid (γf):

N/m³

Head of the Liquid (H):

Length of Pipe (Lp):

Dynamic Viscosity (μ):

Pa·s

Diameter of Pipe (Dpipe):

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1. What is the Diameter of Pipe Calculation?

The diameter of pipe calculation determines the required pipe diameter for laminar flow conditions based on discharge rate, fluid properties, and pipe characteristics. This is essential for proper fluid system design and optimization.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ D_{pipe} = \left( \frac{Q}{\frac{\pi \cdot \gamma_f \cdot H}{128 \cdot L_p \cdot \mu}} \right)^{1/4} \]

Where:

\( D_{pipe} \) — Diameter of Pipe (m)
\( Q \) — Discharge in Laminar Flow (m³/s)
\( \gamma_f \) — Specific Weight of Liquid (N/m³)
\( H \) — Head of the Liquid (m)
\( L_p \) — Length of Pipe (m)
\( \mu \) — Dynamic Viscosity (Pa·s)
\( \pi \) — Archimedes' constant (≈3.1416)

Explanation: This formula calculates the pipe diameter required for laminar flow conditions based on the Hagen-Poiseuille equation, considering fluid properties and flow parameters.

3. Importance of Pipe Diameter Calculation

Details: Accurate pipe diameter calculation is crucial for efficient fluid transport systems, ensuring proper flow rates, minimizing pressure drops, and optimizing energy consumption in piping networks.

4. Using the Calculator

Tips: Enter all values in appropriate SI units. Ensure discharge, specific weight, head, length, and viscosity are all positive values for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is laminar flow?
A: Laminar flow is a smooth, orderly fluid motion where fluid particles move in parallel layers with minimal mixing between layers, typically occurring at low Reynolds numbers.

Q2: When is this formula applicable?
A: This formula applies specifically to laminar flow conditions in circular pipes where the Reynolds number is below 2000.

Q3: What factors affect pipe diameter requirements?
A: Required pipe diameter depends on flow rate, fluid viscosity, pressure head, pipe length, and the specific weight of the fluid.

Q4: How does viscosity affect pipe diameter?
A: Higher viscosity fluids require larger pipe diameters to maintain the same flow rate under laminar conditions due to increased flow resistance.

Q5: Can this calculator be used for turbulent flow?
A: No, this calculator is specifically designed for laminar flow conditions. Different formulas are required for turbulent flow calculations.