What Is the Sutro Proportional Linear Flow Weir Calculator?
Standard rectangular and V-notch weirs have non-linear stage-discharge relationships (Q ~ H^(3/2) or H^(5/2)).
A Sutro weir consists of a rectangular base section of height a topped by curved sides shaped by the profile x/b = 1 - (2/π) · arctan(√(y/a)).
Because discharge is strictly linear with head Q = K · (H - a/3), Sutro weirs are the gold standard for constant-velocity grit chambers and chemical dosing flow controllers.
How Does the Sutro Proportional Linear Flow Weir Calculator Work?
The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.
Sutro Proportional Linear Flow Weir Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
Calculates linear discharge Q directly proportional to effective head (H - a/3), and computes profile coordinates for fabrication of the curved weir plate.
How to Use the Sutro Proportional Linear Flow Weir Calculator
- Enter your primary measurements in the input fields above.
- Select your preferred units (e.g. metric or imperial) if applicable.
- Review or adjust operational assumptions such as field efficiency.
- Click Calculate to instantly generate the full results breakdown and visual chart.
- Use the Reset button at any time to clear the form and test a new scenario.
Step-by-Step Example Calculation
Wastewater Grit Chamber Velocity Controller
Input Values:
Understanding Your Result
Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.
Factors That Affect the Result
Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.
When Should You Use This Calculator?
Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.
Assumptions & Limitations
- The linear proportionality holds strictly when upstream head H exceeds base height a.
- For heads below a (H < a), discharge follows the standard rectangular orifice/weir equation rather than linear relationship.
Frequently Asked Questions
Calculation Accuracy & Reference Note
This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.