This calculator helps you determine the volume flow rate of a fluid through a pipe based on the pressure difference and pipe characteristics. Understanding volume flow rate is crucial in many engineering applications, such as fluid dynamics, plumbing, and HVAC systems, to ensure adequate supply and efficient operation.
Result:
.calculator-container {
font-family: sans-serif;
padding: 20px;
border: 1px solid #ddd;
border-radius: 8px;
max-width: 500px;
margin: 20px auto;
background-color: #f9f9f9;
}
.calculator-container h2 {
text-align: center;
margin-bottom: 20px;
color: #333;
}
.calculator-inputs {
display: grid;
grid-template-columns: 1fr;
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"] {
padding: 10px;
border: 1px solid #ccc;
border-radius: 4px;
font-size: 1rem;
}
.calculator-container button {
width: 100%;
padding: 12px 20px;
background-color: #4CAF50;
color: white;
border: none;
border-radius: 4px;
cursor: pointer;
font-size: 1.1rem;
margin-top: 20px;
transition: background-color 0.3s ease;
}
.calculator-container button:hover {
background-color: #45a049;
}
.calculator-result {
margin-top: 25px;
padding: 15px;
border: 1px solid #eee;
border-radius: 4px;
background-color: #fff;
}
.calculator-result h3 {
margin-top: 0;
color: #333;
}
#flowRateOutput {
font-size: 1.2rem;
font-weight: bold;
color: #d35400;
}
function calculateVolumeFlowRate() {
var pressureDifference = parseFloat(document.getElementById("pressureDifference").value);
var pipeLength = parseFloat(document.getElementById("pipeLength").value);
var pipeDiameter = parseFloat(document.getElementById("pipeDiameter").value);
var fluidViscosity = parseFloat(document.getElementById("fluidViscosity").value);
var pipeRoughness = parseFloat(document.getElementById("pipeRoughness").value);
var resultElement = document.getElementById("flowRateOutput");
resultElement.textContent = ""; // Clear previous result
if (isNaN(pressureDifference) || isNaN(pipeLength) || isNaN(pipeDiameter) || isNaN(fluidViscosity) || isNaN(pipeRoughness)) {
resultElement.textContent = "Please enter valid numbers for all fields.";
return;
}
if (pressureDifference < 0 || pipeLength <= 0 || pipeDiameter <= 0 || fluidViscosity <= 0 || pipeRoughness < 0) {
resultElement.textContent = "Please enter positive values for length, diameter, and viscosity. Pressure difference can be zero or positive.";
return;
}
var pipeRadius = pipeDiameter / 2;
var pipeArea = Math.PI * Math.pow(pipeRadius, 2);
// This is a simplified calculation using the Hagen-Poiseuille equation, assuming laminar flow.
// For turbulent flow or more complex scenarios, a more advanced approach (e.g., iterative solution for Reynolds number and friction factor) would be needed.
// Hagen-Poiseuille: Q = (π * ΔP * D^4) / (128 * μ * L)
// This formula is strictly for laminar flow. If Reynolds number is high, this will be inaccurate.
var flowRate = (Math.PI * pressureDifference * Math.pow(pipeDiameter, 4)) / (128 * fluidViscosity * pipeLength);
// A basic check for laminar flow condition (Reynolds number 2300) {
// If turbulent, the Hagen-Poiseuille equation is not valid.
// A more accurate calculation would involve Moody chart or Colebrook equation.
// For this example, we will issue a warning but still display the laminar flow result for demonstration.
resultElement.textContent = `Flow Rate (Laminar Approx.): ${flowRate.toFixed(6)} m³/s. (Warning: Flow may be turbulent, Re = ${reynoldsNumber.toFixed(2)}. Hagen-Poiseuille equation may not be accurate.)`;
} else {
resultElement.textContent = `Volume Flow Rate: ${flowRate.toFixed(6)} m³/s`;
}
}