This calculator helps you determine the flow rate of a fluid through a pipe or system when you know the pressure difference across that system, along with other relevant parameters. Understanding flow rate is crucial in many engineering and scientific applications, from fluid dynamics to process control.
function calculateFlowRate() {
var pressureDifferential = parseFloat(document.getElementById("pressureDifferential").value);
var pipeArea = parseFloat(document.getElementById("pipeArea").value);
var fluidDensity = parseFloat(document.getElementById("fluidDensity").value);
var dischargeCoefficient = parseFloat(document.getElementById("dischargeCoefficient").value);
var resultElement = document.getElementById("result");
resultElement.innerHTML = ""; // Clear previous result
if (isNaN(pressureDifferential) || isNaN(pipeArea) || isNaN(fluidDensity) || isNaN(dischargeCoefficient)) {
resultElement.innerHTML = "Please enter valid numbers for all fields.";
return;
}
if (pressureDifferential < 0 || pipeArea <= 0 || fluidDensity <= 0 || dischargeCoefficient 1) {
resultElement.innerHTML = "Please enter valid positive values. Pressure differential can be zero. Discharge coefficient must be between 0 and 1.";
return;
}
// The formula used here is derived from Bernoulli's principle and continuity equation,
// often simplified for common orifices or venturi meters.
// Q = Cd * A * sqrt(2 * deltaP / rho)
// Where:
// Q = Flow rate (m³/s)
// Cd = Discharge coefficient (dimensionless)
// A = Cross-sectional area (m²)
// deltaP = Pressure differential (Pa)
// rho = Fluid density (kg/m³)
var flowRate = dischargeCoefficient * pipeArea * Math.sqrt((2 * pressureDifferential) / fluidDensity);
resultElement.innerHTML = "Calculated Flow Rate: " + flowRate.toFixed(6) + " m³/s";
}
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font-family: sans-serif;
max-width: 600px;
margin: 20px auto;
padding: 20px;
border: 1px solid #ccc;
border-radius: 8px;
box-shadow: 0 2px 4px rgba(0,0,0,0.1);
}
.calculator-wrapper h1 {
text-align: center;
margin-bottom: 20px;
color: #333;
}
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display: grid;
grid-template-columns: repeat(2, 1fr);
gap: 15px;
margin-bottom: 20px;
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flex-direction: column;
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.input-group label {
margin-bottom: 5px;
font-weight: bold;
color: #555;
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.input-group input[type="number"] {
padding: 10px;
border: 1px solid #ccc;
border-radius: 4px;
font-size: 1rem;
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width: 100%;
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border-radius: 4px;
font-size: 1.1rem;
cursor: pointer;
transition: background-color 0.3s ease;
}
.calculator-wrapper button:hover {
background-color: #0056b3;
}
.calculator-result {
margin-top: 20px;
padding: 15px;
background-color: #e9ecef;
border: 1px solid #dee2e6;
border-radius: 4px;
text-align: center;
font-size: 1.2rem;
color: #333;
min-height: 40px; /* Ensure it has some height even when empty */
}