Home Back

Density Of Liquid Using Mean Velocity Given Shear Stress With Friction Factor Calculator

Formula Used:

\[ \rho_{Fluid} = \frac{8 \times \tau}{f \times V_{mean}^2} \]

Pascal
m/s

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Density Calculation Formula?

The formula calculates the density of a fluid based on shear stress, Darcy friction factor, and mean velocity. It provides an important relationship between these fundamental fluid dynamics parameters.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \rho_{Fluid} = \frac{8 \times \tau}{f \times V_{mean}^2} \]

Where:

Explanation: This formula relates fluid density to the shear stress experienced by the fluid, the friction factor characterizing the flow resistance, and the average flow velocity.

3. Importance of Fluid Density Calculation

Details: Accurate fluid density calculation is crucial for various engineering applications including pipe flow design, pump selection, pressure drop calculations, and fluid system analysis.

4. Using the Calculator

Tips: Enter shear stress in Pascal, Darcy friction factor (dimensionless), and mean velocity in m/s. All values must be positive and valid for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is shear stress in fluid dynamics?
A: Shear stress refers to the force per unit area acting parallel to the surface of a fluid element, causing deformation through slippage between fluid layers.

Q2: How is Darcy friction factor determined?
A: The Darcy friction factor depends on the flow's Reynolds number and the pipe's relative roughness, typically obtained from Moody's chart or empirical correlations.

Q3: What is typical density range for common fluids?
A: Water at 4°C has density of 1000 kg/m³, air at sea level about 1.2 kg/m³, while mercury has density around 13500 kg/m³.

Q4: When is this formula particularly useful?
A: This formula is valuable when direct density measurement is challenging but shear stress, friction factor, and velocity measurements are available.

Q5: Are there limitations to this calculation method?
A: This approach assumes steady, fully developed flow and may have limitations for non-Newtonian fluids or complex flow conditions.

Density Of Liquid Using Mean Velocity Given Shear Stress With Friction Factor Calculator© - All Rights Reserved 2025