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Dynamic Viscosity Given Friction Factor Calculator

Formula Used:

\[ \mu = \frac{f \times V_{mean} \times D_{pipe} \times \rho_{Fluid}}{64} \]

m/s
m
kg/m³

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1. What is Dynamic Viscosity?

Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied. It is a measure of a fluid's resistance to shear or flow and is an important property in fluid dynamics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \mu = \frac{f \times V_{mean} \times D_{pipe} \times \rho_{Fluid}}{64} \]

Where:

Explanation: This formula calculates dynamic viscosity based on the Darcy friction factor, mean velocity, pipe diameter, and fluid density.

3. Importance of Dynamic Viscosity Calculation

Details: Accurate viscosity calculation is crucial for fluid flow analysis, pipe design, pump selection, and understanding fluid behavior in various engineering applications.

4. Using the Calculator

Tips: Enter Darcy friction factor, mean velocity in m/s, pipe diameter in meters, and fluid density in kg/m³. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the Darcy friction factor?
A: The Darcy friction factor is a dimensionless quantity used in the Darcy-Weisbach equation to calculate pressure loss due to friction in pipes.

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

Q3: What are typical values for dynamic viscosity?
A: Water at 20°C has a viscosity of about 0.001 Pa·s, while honey can have viscosities around 10 Pa·s, and air about 0.000018 Pa·s.

Q4: When is this formula applicable?
A: This formula is specifically derived for calculating dynamic viscosity when the Darcy friction factor and other flow parameters are known.

Q5: What are the limitations of this calculation?
A: The accuracy depends on the precision of input values and assumes the flow conditions match the derivation assumptions of the formula.

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