Siphon Flow Rate Calculator

Siphon Flow Rate Calculator .siphon-calculator-container { max-width: 800px; margin: 0 auto; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Helvetica, Arial, sans-serif; line-height: 1.6; color: #333; } .siphon-tool-card { background: #f8f9fa; border: 1px solid #e9ecef; border-radius: 8px; padding: 25px; margin-bottom: 30px; box-shadow: 0 4px 6px rgba(0,0,0,0.05); } .siphon-input-group { margin-bottom: 20px; } .siphon-input-group label { display: block; font-weight: 600; margin-bottom: 8px; color: #2c3e50; } .input-row { display: flex; gap: 10px; } .siphon-input-group input { flex: 2; padding: 10px; border: 1px solid #ced4da; border-radius: 4px; font-size: 16px; } .siphon-input-group select { flex: 1; padding: 10px; border: 1px solid #ced4da; border-radius: 4px; background-color: #fff; font-size: 16px; } .calc-btn { width: 100%; background-color: #007bff; color: white; border: none; padding: 15px; font-size: 18px; font-weight: bold; border-radius: 4px; cursor: pointer; transition: background-color 0.2s; } .calc-btn:hover { background-color: #0056b3; } .results-area { margin-top: 25px; background: #fff; border: 1px solid #dee2e6; border-radius: 4px; padding: 20px; display: none; } .result-item { display: flex; justify-content: space-between; align-items: center; padding: 10px 0; border-bottom: 1px solid #eee; } .result-item:last-child { border-bottom: none; } .result-label { font-weight: 500; color: #555; } .result-value { font-weight: 700; font-size: 1.1em; color: #007bff; } .error-msg { color: #dc3545; margin-top: 10px; display: none; font-weight: 500; } .content-section h2 { color: #2c3e50; border-bottom: 2px solid #007bff; padding-bottom: 10px; margin-top: 40px; } .content-section h3 { color: #495057; margin-top: 25px; } .formula-box { background: #eef2f7; padding: 15px; border-left: 4px solid #007bff; font-family: monospace; margin: 15px 0; overflow-x: auto; } .info-table { width: 100%; border-collapse: collapse; margin: 20px 0; } .info-table th, .info-table td { border: 1px solid #ddd; padding: 12px; text-align: left; } .info-table th { background-color: #f2f2f2; } @media (max-width: 600px) { .input-row { flex-direction: column; } }

Siphon Flow Rate Calculator

Millimeters (mm) Centimeters (cm) Inches (in)
Meters (m) Centimeters (cm) Feet (ft) Inches (in)
This is the vertical distance between the source liquid surface and the tube outlet.
Meters (m) Centimeters (cm) Feet (ft) Inches (in)

Estimated Flow Rate

Flow Velocity: 0 m/s
Liters per Minute: 0 LPM
Gallons per Minute (US): 0 GPM
Liters per Hour: 0 LPH
*Calculation assumes a standard smooth pipe (PVC/hose) with a friction factor of ~0.02 and considers minor losses for entrance and exit. Actual flow may vary based on temperature, fluid viscosity, and bends in the tubing.

What is Siphon Flow?

A siphon is a continuous tube that allows liquid to drain from a reservoir through an intermediate point that is higher than the reservoir itself, driven by hydrostatic pressure and gravity. The flow occurs because the outlet of the tube is lower than the liquid surface in the source container.

Once the tube is primed (filled completely with liquid), the force of gravity pulling down on the taller column of liquid on the discharge side causes a pressure drop at the highest point, effectively "pulling" the liquid up and over the crest.

How the Siphon Flow Rate Calculator Works

This calculator estimates the volumetric flow rate of a liquid through a siphon based on the Bernoulli equation, adjusted for head loss due to friction and entrance/exit effects. It is particularly useful for aquariums, home brewing, drainage, and irrigation systems.

The Physics Formula

To calculate the velocity ($v$) of the fluid, we use a modified energy equation that balances potential energy with kinetic energy and friction losses:

v = √ [ (2 · g · h) / (1 + K + f · (L / D)) ]

Where:

  • g: Acceleration due to gravity (9.81 m/s²)
  • h: Head height (elevation difference between source surface and outlet)
  • L: Total length of the pipe
  • D: Internal diameter of the pipe
  • f: Friction factor (estimated at 0.02 for smooth plastic tubing)
  • K: Minor loss coefficient (approx 1.5 for entrance and exit losses)

Once velocity is found, the Flow Rate ($Q$) is calculated as:

Q = Area × Velocity = (π · (D/2)²) × v

Factors Affecting Siphon Performance

Factor Impact on Flow
Head Height (h) The greater the vertical drop between the water surface and the hose outlet, the faster the flow. If the outlet is level with the surface, flow stops.
Pipe Diameter (d) Diameter has a massive impact. Doubling the diameter can increase flow rate by more than 4 times due to reduced friction relative to volume.
Pipe Length (L) Longer pipes introduce more friction (drag), which slows down the water velocity. Keep hoses as short as possible for maximum speed.
Viscosity Thicker liquids (like syrup or oil) flow much slower than water. This calculator is calibrated for water-like viscosity.

Common Uses

Aquariums: Calculating how fast a tank will drain during water changes or sump overflow scenarios.
Home Brewing: Estimating transfer times for racking beer or wine between carboys.
Rain Barrels: determining flow rate from a collection barrel to a garden bed via a hose.

function calculateSiphonFlow() { // 1. Get input elements var dInput = document.getElementById("pipeDiameter"); var dUnit = document.getElementById("diameterUnit"); var hInput = document.getElementById("headHeight"); var hUnit = document.getElementById("heightUnit"); var lInput = document.getElementById("pipeLength"); var lUnit = document.getElementById("lengthUnit"); var resultBox = document.getElementById("resultDisplay"); var errorBox = document.getElementById("errorDisplay"); // 2. Parse values var dVal = parseFloat(dInput.value); var hVal = parseFloat(hInput.value); var lVal = parseFloat(lInput.value); // 3. Validation if (isNaN(dVal) || isNaN(hVal) || isNaN(lVal)) { errorBox.style.display = "block"; errorBox.innerHTML = "Please enter valid numbers for all fields."; resultBox.style.display = "none"; return; } if (dVal <= 0 || lVal <= 0) { errorBox.style.display = "block"; errorBox.innerHTML = "Diameter and Length must be greater than zero."; resultBox.style.display = "none"; return; } if (hVal <= 0) { errorBox.style.display = "block"; errorBox.innerHTML = "Head height must be positive for a siphon to work (outlet lower than source surface)."; resultBox.style.display = "none"; return; } errorBox.style.display = "none"; // 4. Convert all inputs to Meters (SI Units) var d_meters = 0; var h_meters = 0; var l_meters = 0; // Convert Diameter to meters switch(dUnit.value) { case "mm": d_meters = dVal / 1000; break; case "cm": d_meters = dVal / 100; break; case "in": d_meters = dVal * 0.0254; break; } // Convert Head Height to meters switch(hUnit.value) { case "m": h_meters = hVal; break; case "cm": h_meters = hVal / 100; break; case "ft": h_meters = hVal * 0.3048; break; case "in": h_meters = hVal * 0.0254; break; } // Convert Length to meters switch(lUnit.value) { case "m": l_meters = lVal; break; case "cm": l_meters = lVal / 100; break; case "ft": l_meters = lVal * 0.3048; break; case "in": l_meters = lVal * 0.0254; break; } // 5. Physics Constants var gravity = 9.81; // m/s^2 var frictionFactor = 0.02; // Approximation for smooth pipe/hose var minorLossCoeff = 1.5; // Entrance (0.5) + Exit (1.0) approx // 6. Calculation Logic // Formula: v = sqrt( (2gh) / (1 + K + f(L/D)) ) // Denominator term inside the root var resistance = 1 + minorLossCoeff + (frictionFactor * (l_meters / d_meters)); // Velocity calculation var velocity = Math.sqrt( (2 * gravity * h_meters) / resistance ); // Area calculation (A = pi * r^2) var radius = d_meters / 2; var area = Math.PI * Math.pow(radius, 2); // Flow Rate in cubic meters per second var flow_m3s = area * velocity; // 7. Convert Results to user friendly units var flow_LPM = flow_m3s * 60000; // Liters per minute var flow_GPM = flow_m3s * 15850.32; // US Gallons per minute var flow_LPH = flow_LPM * 60; // Liters per hour // 8. Display Results resultBox.style.display = "block"; document.getElementById("resVelocity").innerText = velocity.toFixed(2) + " m/s"; document.getElementById("resLPM").innerText = flow_LPM.toFixed(2) + " LPM"; document.getElementById("resGPM").innerText = flow_GPM.toFixed(2) + " GPM"; document.getElementById("resLPH").innerText = flow_LPH.toFixed(0).replace(/\B(?=(\d{3})+(?!\d))/g, ",") + " LPH"; }

Leave a Comment