Pipe Flow Rate Calculator
This calculator helps you determine the flow rate of a fluid through a pipe, based on the pipe's diameter and the fluid's velocity. Understanding flow rate is crucial in many engineering and scientific applications, from plumbing and irrigation to chemical processing and blood circulation. The flow rate (Q) is typically measured in units of volume per unit time (e.g., liters per minute, gallons per minute, cubic meters per second), and it is calculated using the following formula:
Q = A * v
Where:
- Q is the volumetric flow rate.
- A is the cross-sectional area of the pipe.
- v is the average velocity of the fluid.
The cross-sectional area (A) of a circular pipe is calculated using the formula:
A = π * (d/2)²
Where:
- π (pi) is a mathematical constant, approximately 3.14159.
- d is the internal diameter of the pipe.
By substituting the area formula into the flow rate formula, we get:
Q = π * (d/2)² * v
function calculateFlowRate() {
var diameter = parseFloat(document.getElementById("pipeDiameter").value);
var velocity = parseFloat(document.getElementById("fluidVelocity").value);
var outputUnits = document.getElementById("outputUnits").value;
var resultElement = document.getElementById("result");
resultElement.innerHTML = ""; // Clear previous results
if (isNaN(diameter) || isNaN(velocity) || diameter <= 0 || velocity < 0) {
resultElement.innerHTML = "Please enter valid positive numbers for diameter and a non-negative number for velocity.";
return;
}
var pi = Math.PI;
var radius = diameter / 2;
var area = pi * Math.pow(radius, 2); // Area in square meters
var flowRate_m3_per_s = area * velocity; // Flow rate in cubic meters per second
var finalFlowRate;
var unitsLabel;
switch (outputUnits) {
case "m3_per_s":
finalFlowRate = flowRate_m3_per_s;
unitsLabel = "m³/s";
break;
case "liters_per_min":
// 1 m³ = 1000 liters, 1 minute = 60 seconds
finalFlowRate = flowRate_m3_per_s * 1000 * 60;
unitsLabel = "L/min";
break;
case "gpm":
// 1 m³ = 264.172 US gallons, 1 minute = 60 seconds
finalFlowRate = flowRate_m3_per_s * 264.172 * 60;
unitsLabel = "GPM";
break;
}
resultElement.innerHTML = "The calculated flow rate is:
" + finalFlowRate.toFixed(4) + " " + unitsLabel + "";
}
.calculator-container {
font-family: Arial, sans-serif;
max-width: 600px;
margin: 20px auto;
padding: 20px;
border: 1px solid #ccc;
border-radius: 8px;
background-color: #f9f9f9;
}
.calculator-container h2 {
text-align: center;
color: #333;
margin-bottom: 20px;
}
.calculator-inputs {
display: flex;
flex-direction: column;
gap: 15px;
}
.input-group {
display: flex;
flex-direction: column;
}
.input-group label {
margin-bottom: 5px;
font-weight: bold;
color: #555;
}
.input-group input[type="number"],
.input-group select {
padding: 10px;
border: 1px solid #ccc;
border-radius: 4px;
font-size: 16px;
}
.calculator-container button {
padding: 12px 20px;
background-color: #007bff;
color: white;
border: none;
border-radius: 4px;
font-size: 16px;
cursor: pointer;
transition: background-color 0.3s ease;
}
.calculator-container button:hover {
background-color: #0056b3;
}
.calculator-result {
margin-top: 20px;
padding: 15px;
background-color: #e9ecef;
border: 1px solid #ced4da;
border-radius: 4px;
text-align: center;
font-size: 18px;
}
.calculator-result p {
margin: 0;
}
.calculator-result strong {
color: #28a745;
}