Parallel Pipe Flow Rate Calculator

Parallel Pipe Flow Rate Calculator

Pipe 1 Characteristics

Pipe 2 Characteristics

Calculation Results

Flow Rate in Pipe 1:
Flow Rate in Pipe 2:
Flow Percentage (P1 / P2):

Understanding Parallel Pipe Flow Distribution

In hydraulic engineering, a parallel pipe system consists of two or more pipes that branch off from a single point and rejoin downstream. This configuration is commonly used in water distribution networks, HVAC systems, and industrial processing to increase flow capacity or provide redundancy.

The Science Behind the Calculation

The distribution of flow between parallel pipes is determined by the principle that the head loss (pressure drop) must be equal across all branches. Even if the pipes have different diameters or lengths, the fluid will distribute itself so that the energy loss from the start point to the end point is identical regardless of the path taken.

Using the Darcy-Weisbach and continuity equations, we find that the flow rate (Q) is proportional to the square root of the diameter raised to the fifth power divided by the length (assuming friction factors are similar):

Qi ∝ √(Di5 / Li)

Key Factors Affecting Flow

  • Pipe Diameter: Flow capacity increases drastically with diameter. Doubling the diameter increases the capacity by more than five times for the same pressure drop.
  • Pipe Length: Friction loss increases linearly with length. Longer pipes offer more resistance, forcing more flow into shorter parallel branches.
  • Pipe Roughness: Old or corroded pipes increase friction, reducing the flow rate compared to newer, smoother pipes.

Practical Example

Imagine a main line carrying 100 m³/h that splits into two pipes:

  • Pipe A: 100mm diameter, 50m long.
  • Pipe B: 50mm diameter, 50m long.

Even though the length is the same, Pipe A will carry significantly more than twice the flow of Pipe B because its diameter is larger. In this scenario, Pipe A would handle approximately 85% of the total flow, while Pipe B handles only 15%.

Frequently Asked Questions

Does this apply to liquids and gases? This calculator is designed for incompressible fluids (liquids like water or oil). While the principle of equal head loss applies to gases, compressibility factors must be considered at high velocities or high-pressure drops.

What units should I use? You can use any consistent units. If your diameter is in inches, keep it in inches for both pipes. The resulting flow will be in the same units as your input flow rate.

function calculateFlow() { var totalQ = parseFloat(document.getElementById('totalFlow').value); var d1 = parseFloat(document.getElementById('d1').value); var l1 = parseFloat(document.getElementById('l1').value); var d2 = parseFloat(document.getElementById('d2').value); var l2 = parseFloat(document.getElementById('l2').value); if (isNaN(totalQ) || isNaN(d1) || isNaN(l1) || isNaN(d2) || isNaN(l2) || l1 <= 0 || l2 <= 0 || d1 <= 0 || d2 <= 0) { alert("Please enter valid positive numbers for all fields."); return; } // Resistance factor K is proportional to sqrt(D^5 / L) // Based on head loss h = f * (L/D) * (v^2/2g) and v = Q/A // h is proportional to L * Q^2 / D^5 // Q is proportional to sqrt(D^5 / L) var k1 = Math.sqrt(Math.pow(d1, 5) / l1); var k2 = Math.sqrt(Math.pow(d2, 5) / l2); var kTotal = k1 + k2; var flow1 = (k1 / kTotal) * totalQ; var flow2 = (k2 / kTotal) * totalQ; var pct1 = (flow1 / totalQ) * 100; var pct2 = (flow2 / totalQ) * 100; document.getElementById('resFlow1').innerText = flow1.toFixed(2) + " (" + pct1.toFixed(1) + "%)"; document.getElementById('resFlow2').innerText = flow2.toFixed(2) + " (" + pct2.toFixed(1) + "%)"; document.getElementById('resRatio').innerText = pct1.toFixed(0) + "% / " + pct2.toFixed(0) + "%"; document.getElementById('resultsArea').style.display = 'block'; }

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