3D Flow Rate Calculator
This calculator helps you determine the volumetric flow rate in a three-dimensional system. Volumetric flow rate is the volume of fluid that passes through a given surface per unit of time. It's a fundamental concept in fluid dynamics, crucial for understanding fluid transport in pipes, channels, and other systems.
The basic formula for volumetric flow rate (Q) is:
Q = A * v
Where:
- Q is the volumetric flow rate (e.g., cubic meters per second, liters per minute).
- A is the cross-sectional area through which the fluid is flowing (e.g., square meters, square centimeters).
- v is the average velocity of the fluid perpendicular to the cross-sectional area (e.g., meters per second, centimeters per second).
function calculateFlowRate() {
var areaInput = parseFloat(document.getElementById("crossSectionalArea").value);
var velocityInput = parseFloat(document.getElementById("averageVelocity").value);
var areaUnits = document.getElementById("areaUnits").value;
var velocityUnits = document.getElementById("velocityUnits").value;
var resultElement = document.getElementById("result");
resultElement.innerHTML = "";
if (isNaN(areaInput) || isNaN(velocityInput) || areaInput <= 0 || velocityInput <= 0) {
resultElement.innerHTML = "Please enter valid positive numbers for area and velocity.";
return;
}
// — Unit Conversion to a common base for calculation —
// Convert area to square meters (m²)
var areaInMetersSquared;
if (areaUnits === "m2") {
areaInMetersSquared = areaInput;
} else if (areaUnits === "cm2") {
areaInMetersSquared = areaInput / 10000; // 1 m² = 10000 cm²
} else if (areaUnits === "ft2") {
areaInMetersSquared = areaInput * 0.092903; // 1 ft² ≈ 0.092903 m²
}
// Convert velocity to meters per second (m/s)
var velocityInMetersPerSecond;
if (velocityUnits === "mps") {
velocityInMetersPerSecond = velocityInput;
} else if (velocityUnits === "cps") {
velocityInMetersPerSecond = velocityInput / 100; // 1 m = 100 cm
} else if (velocityUnits === "fps") {
velocityInMetersPerSecond = velocityInput * 0.3048; // 1 ft = 0.3048 m
}
// — Calculate Flow Rate in m³/s —
var flowRateM3PerS = areaInMetersSquared * velocityInMetersPerSecond;
// — Convert to other common units for display —
var flowRateLitersPerMinute = flowRateM3PerS * 60000; // 1 m³ = 1000 L, 1 min = 60 s
var flowRateLitersPerSecond = flowRateM3PerS * 1000; // 1 m³ = 1000 L
var flowRateGallonsPerMinute = flowRateM3PerS * 264.172; // 1 m³ ≈ 264.172 US gallons
var flowRateCubicFeetPerMinute = flowRateM3PerS * 2118.88; // 1 m³ ≈ 2118.88 ft³
resultElement.innerHTML = "
Results:
" +
"Volumetric Flow Rate (m³/s): " + flowRateM3PerS.toFixed(6) + "" +
"Volumetric Flow Rate (L/s): " + flowRateLitersPerSecond.toFixed(3) + "" +
"Volumetric Flow Rate (L/min): " + flowRateLitersPerMinute.toFixed(2) + "" +
"Volumetric Flow Rate (US gal/min): " + flowRateGallonsPerMinute.toFixed(2) + "" +
"Volumetric Flow Rate (ft³/min): " + flowRateCubicFeetPerMinute.toFixed(2) + "";
}
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