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Velocity Of Fluid Given Shear Stress Calculator

Formula Used:

\[ V = \frac{Y \times \tau}{\mu} \]

m
Pa
Pa·s

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1. What is Fluid Velocity?

Fluid Velocity is the velocity of adjacent fluid layers in a fluid flow system. It represents how fast fluid particles are moving at a specific point in the flow field.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V = \frac{Y \times \tau}{\mu} \]

Where:

Explanation: This formula calculates the velocity of fluid between two layers based on the distance between them, the shear stress applied, and the fluid's dynamic viscosity.

3. Importance of Fluid Velocity Calculation

Details: Calculating fluid velocity is crucial for understanding fluid flow behavior, designing piping systems, analyzing heat transfer, and optimizing various engineering applications involving fluid dynamics.

4. Using the Calculator

Tips: Enter distance between fluid layers in meters, shear stress in Pascals, and dynamic viscosity in Pascal-seconds. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is shear stress in fluid mechanics?
A: Shear stress is the force per unit area acting parallel to the fluid layers, causing them to slide relative to each other.

Q2: How does viscosity affect fluid velocity?
A: Higher viscosity fluids require more shear stress to achieve the same velocity, as viscosity represents the fluid's resistance to flow.

Q3: What are typical units for dynamic viscosity?
A: Dynamic viscosity is typically measured in Pascal-seconds (Pa·s) in SI units, or Poise (P) in the CGS system.

Q4: When is this formula applicable?
A: This formula is particularly applicable for Newtonian fluids in laminar flow conditions between parallel plates.

Q5: What factors can affect fluid velocity calculations?
A: Temperature (affects viscosity), pressure, fluid composition, and flow regime (laminar vs turbulent) can all influence fluid velocity calculations.

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