Calculate Mass Flow Rate from Shear Stress
Introduction & Importance
Calculating mass flow rate from shear stress is crucial in fluid dynamics to determine the rate of fluid flow through a given area. It’s used in various industries, from oil and gas to water treatment.
How to Use This Calculator
- Enter the shear stress, density, and velocity values.
- Click ‘Calculate’.
- View the results and chart below.
Formula & Methodology
The formula for mass flow rate (ṁ) from shear stress (τ), density (ρ), and velocity (v) is:
ṁ = τ * A / v
where A is the area of the pipe.
Real-World Examples
Example 1
Shear stress: 1500 Pa, Density: 800 kg/m³, Velocity: 2 m/s, Area: 0.01 m²
Mass flow rate: 1500 * 0.01 / 2 = 7.5 kg/s
Data & Statistics
| Shear Stress (Pa) | Density (kg/m³) | Velocity (m/s) | Mass Flow Rate (kg/s) |
|---|---|---|---|
| 1500 | 800 | 2 | 7.5 |
| 2000 | 1000 | 3 | 66.67 |
Expert Tips
- Always use consistent units for accurate results.
- Consider the pipe’s area for precise calculations.
Interactive FAQ
What is shear stress?
Shear stress is the force applied parallel to a surface per unit area.
How does density affect mass flow rate?
Higher density increases the mass flow rate for a given shear stress and velocity.