Note:

This tool calculates the Volumetric Flow Rate through an Equal Percentage Valve. The equation models how flow changes based on the valve's lift (H), rangeability (τ), and maximum flow (V_max).

Understanding Parameters:

• Valve Lift (H): Represents the fraction of valve opening (0 = fully closed, 1 = fully open).
• Valve Rangeability (τ): Defines the ability of the valve to control flow effectively across its operating range.
• Maximum Volumetric Flow (V_max): The highest possible flow through the valve when fully open.
• Volumetric Flow Rate (V̇): The actual flow through the valve at a given lift position (H).

Key Applications:

• Process Control & Automation: Ensures precise regulation of fluid flow in industries like oil & gas, water treatment, and chemical plants.
• HVAC Systems: Helps in optimizing air and fluid flow in heating, ventilation, and cooling systems.
• Boiler & Steam Systems: Used to control steam and gas flow efficiently in power plants.
• Industrial Safety: Prevents excessive or insufficient flow that may lead to operational failures or safety hazards.

Validations & Input Constraints:

• Valve Lift (H) must be between 0 and 1: - H = 0 means fully closed, H = 1 means fully open.
• Valve Rangeability (τ) must be greater than 0: - Prevents division by zero errors in calculations.
• Maximum Flow (V_max) must be positive: - Ensures realistic flow values are obtained.
• Logarithmic Constraint: - Since ln(H) is undefined for H ≤ 0, input must be strictly greater than 0.

Conclusion:

This tool provides an effective way to analyze and optimize flow rate variations through an equal percentage valve, ensuring safe and efficient operation in fluid control systems.