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Shear Stress in Viscosity Calculator

Shear Stress Formula:

\[ T = \frac{V \times \mu_d}{y} \]

m/s
Pa·s
m

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1. What is Shear Stress in Viscosity?

Shear Stress is defined as the force per unit area exerted by a fluid, defined as the product of the fluid's dynamic viscosity and the velocity gradient perpendicular to the flow direction. It represents the internal friction within a fluid when layers move relative to each other.

2. How Does the Calculator Work?

The calculator uses the Shear Stress formula:

\[ T = \frac{V \times \mu_d}{y} \]

Where:

Explanation: The formula calculates the shear stress by multiplying the fluid velocity by the dynamic viscosity and dividing by the distance between boundaries.

3. Importance of Shear Stress Calculation

Details: Shear stress calculation is crucial in fluid dynamics for understanding flow behavior, designing piping systems, predicting erosion rates, and analyzing blood flow in medical applications.

4. Using the Calculator

Tips: Enter fluid velocity in m/s, dynamic viscosity in Pa·s, and space between boundaries in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between dynamic and kinematic viscosity?
A: Dynamic viscosity measures a fluid's resistance to flow under an applied force, while kinematic viscosity is dynamic viscosity divided by density.

Q2: How does temperature affect viscosity and shear stress?
A: For most liquids, viscosity decreases with increasing temperature, which reduces shear stress at constant velocity and spacing.

Q3: What are typical shear stress values in engineering applications?
A: Shear stress values vary widely depending on the application, from fractions of a Pascal in biological systems to thousands of Pascals in industrial processes.

Q4: Can this formula be used for non-Newtonian fluids?
A: No, this formula is specifically for Newtonian fluids where viscosity is constant. Non-Newtonian fluids require more complex models.

Q5: What units should be used for accurate calculations?
A: Use consistent SI units: meters for distance, meters/second for velocity, and Pascal-seconds for viscosity to get results in Pascals.

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