Power Requirement Formula:
Definition: This calculator estimates the power needed for flocculation in direct filtration water treatment processes.
Purpose: It helps water treatment engineers determine the energy required to achieve proper mixing for floc formation.
The calculator uses the formula:
Where:
Explanation: The power required is proportional to the square of the velocity gradient, the fluid viscosity, and the tank volume.
Details: Proper power calculation ensures effective flocculation, which is crucial for particle aggregation in water treatment.
Tips: Enter the mean velocity gradient (typically 20-100 s⁻¹), dynamic viscosity (0.001 Pa·s for water at 20°C), and tank volume. All values must be > 0.
Q1: What is a typical velocity gradient for flocculation?
A: For direct filtration, typically 20-50 s⁻¹ for gentle mixing that promotes floc formation without breaking flocs.
Q2: How does temperature affect viscosity?
A: Viscosity decreases with increasing temperature (0.001 Pa·s at 20°C, 0.00089 Pa·s at 25°C for water).
Q3: Why is the gradient squared in the formula?
A: The power requirement is proportional to the energy dissipation rate, which depends on the square of the velocity gradient.
Q4: What units should I use?
A: Use consistent SI units: seconds for time, meters for length, and kilograms for mass.
Q5: Does this account for mechanical efficiency?
A: No, the calculated power is theoretical. Actual motor power should account for mechanical losses (typically add 10-20%).