Pressure Drop Over Length Of Pipe Calculator

Formula Used:

\[ \Delta P = \frac{32 \times \mu \times V_{mean} \times L_p}{D_{pipe}^2} \]

Dynamic Viscosity (μ):

Pa·s

Mean Velocity (V_mean):

m/s

Length of Pipe (L_p):

Diameter of Pipe (D_pipe):

Pressure Difference (ΔP):

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1. What is Pressure Drop Over Length of Pipe?

Pressure drop over length of pipe refers to the decrease in pressure that occurs as a fluid flows through a pipe due to frictional losses. It is an important parameter in fluid dynamics and piping system design.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \Delta P = \frac{32 \times \mu \times V_{mean} \times L_p}{D_{pipe}^2} \]

Where:

\( \Delta P \) — Pressure Difference (Pa)
\( \mu \) — Dynamic Viscosity (Pa·s)
\( V_{mean} \) — Mean Velocity (m/s)
\( L_p \) — Length of Pipe (m)
\( D_{pipe} \) — Diameter of Pipe (m)

Explanation: This formula calculates the pressure drop in a pipe due to viscous friction for laminar flow conditions.

3. Importance of Pressure Drop Calculation

Details: Calculating pressure drop is crucial for designing efficient piping systems, selecting appropriate pumps, and ensuring proper fluid flow in various engineering applications.

4. Using the Calculator

Tips: Enter dynamic viscosity in Pa·s, mean velocity in m/s, length of pipe in meters, and diameter of pipe in meters. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What is dynamic viscosity?
A: Dynamic viscosity is a measure of a fluid's resistance to flow when a force is applied. It quantifies the internal friction within the fluid.

Q2: What is mean velocity in pipe flow?
A: Mean velocity is the average velocity of fluid flowing through a pipe cross-section, calculated as the volumetric flow rate divided by the cross-sectional area.

Q3: Does this formula work for all flow regimes?
A: This specific formula is valid for laminar flow conditions (typically Re < 2300). For turbulent flow, different correlations are used.

Q4: How does pipe diameter affect pressure drop?
A: Pressure drop is inversely proportional to the fourth power of pipe diameter, meaning smaller diameters cause significantly higher pressure drops.

Q5: What are typical units for pressure drop?
A: Pressure drop is commonly measured in Pascals (Pa), but may also be expressed in bars, psi, or other pressure units depending on the application.