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Mean Velocity Gradient Given Power Requirement Calculator

Mean Velocity Gradient Formula:

\[ G = \sqrt{\frac{P}{\mu \times V}} \]

Watt
Pascal Second
Cubic Meter

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1. What is Mean Velocity Gradient?

Mean Velocity Gradient refers to the rate of change of velocity within a fluid over a specified distance or depth. It is a crucial parameter in fluid dynamics and mixing processes.

2. How Does the Calculator Work?

The calculator uses the Mean Velocity Gradient formula:

\[ G = \sqrt{\frac{P}{\mu \times V}} \]

Where:

Explanation: The formula calculates the square root of the ratio of power input to the product of dynamic viscosity and tank volume.

3. Importance of Mean Velocity Gradient Calculation

Details: Mean Velocity Gradient is essential for designing mixing systems, optimizing chemical dosing in water treatment, and ensuring proper fluid agitation in various industrial processes.

4. Using the Calculator

Tips: Enter power requirement in Watts, dynamic viscosity in Pascal Seconds, and tank volume in Cubic Meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for Mean Velocity Gradient?
A: In water treatment applications, G values typically range from 20 to 100 1/s for rapid mixing and 10 to 50 1/s for flocculation.

Q2: How does viscosity affect the Mean Velocity Gradient?
A: Higher viscosity requires more power input to achieve the same velocity gradient, as viscosity represents the fluid's resistance to flow.

Q3: What factors influence Power Requirement?
A: Power requirement depends on mixer design, fluid properties, tank geometry, and desired mixing intensity.

Q4: Can this formula be used for non-Newtonian fluids?
A: The formula is primarily designed for Newtonian fluids. For non-Newtonian fluids, apparent viscosity should be used with caution.

Q5: What are common applications of Mean Velocity Gradient?
A: Common applications include water treatment processes, chemical mixing, pharmaceutical manufacturing, and food processing industries.

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