Calculating Flow Rates

Flow Rate Calculator

This calculator helps you determine the flow rate of a fluid through a pipe based on its velocity and the cross-sectional area of the pipe.

Understanding Flow Rate

Flow rate is a fundamental concept in fluid dynamics, describing the volume of fluid that passes through a given surface per unit of time. It's a crucial parameter in many engineering applications, from designing water distribution systems to understanding blood circulation.

The most common formula for calculating volumetric flow rate (Q) is:

Q = A * v

Where:

  • Q is the volumetric flow rate, typically measured in cubic meters per second (m³/s).
  • A is the cross-sectional area of the flow path, measured in square meters (m²). For a circular pipe, this would be πr², where 'r' is the radius of the pipe.
  • v is the average velocity of the fluid, measured in meters per second (m/s).

By inputting the fluid's velocity and the pipe's cross-sectional area, you can accurately determine the flow rate, which is essential for system design, performance monitoring, and troubleshooting.

function calculateFlowRate() { var velocity = parseFloat(document.getElementById("velocity").value); var area = parseFloat(document.getElementById("area").value); var resultDiv = document.getElementById("result"); if (isNaN(velocity) || isNaN(area) || velocity < 0 || area < 0) { resultDiv.innerHTML = "Please enter valid positive numbers for velocity and area."; return; } var flowRate = area * velocity; resultDiv.innerHTML = "Calculated Flow Rate: " + flowRate.toFixed(4) + " m³/s"; } #flow-rate-calculator { font-family: sans-serif; border: 1px solid #ccc; padding: 20px; border-radius: 8px; max-width: 600px; margin: 20px auto; } .form-group { margin-bottom: 15px; } .form-group label { display: block; margin-bottom: 5px; font-weight: bold; } .form-group input[type="number"] { width: calc(100% – 22px); padding: 10px; border: 1px solid #ccc; border-radius: 4px; } button { background-color: #4CAF50; color: white; padding: 10px 15px; border: none; border-radius: 4px; cursor: pointer; font-size: 16px; } button:hover { background-color: #45a049; } #result { margin-top: 20px; padding: 10px; border: 1px solid #eee; background-color: #f9f9f9; border-radius: 4px; } article { margin-top: 30px; border-top: 1px solid #eee; padding-top: 20px; } article h3 { margin-bottom: 10px; } code { background-color: #f0f0f0; padding: 2px 5px; border-radius: 3px; }

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