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Parallel Pipe Flow Distribution Calculator

Parallel piping systems distribute fluid across multiple parallel branches connecting common supply and return manifold headers.

Combined volumetric flow entering the parallel manifold.

Total developed length of pipe branch A.

Bore diameter of branch A.

Darcy friction factor for Branch A (typically 0.015 - 0.030).

Total developed length of pipe branch B.

Bore diameter of branch B.

Darcy friction factor for Branch B.

Calculated Result
69.9 / 30.1 m³/h

Flow Split (Branch A / Branch B)

Flow Rate Branch A

69.86 m³/h (69.9%)

Flow Rate Branch B

30.14 m³/h (30.1%)

Fluid Velocity in A

2.47 m/s

Fluid Velocity in B

1.67 m/s

Common Friction Head Loss

3.11 m of head

Pressure Drop (Water 20°C)

30.5 kPa

Resistance Factor K_A

8.266e+3

Resistance Factor K_B

4.439e+4

Calculation Breakdown

  1. Pipe Resistance ConstantsK_A = 8·f_A·L_A / (π²·g·D_A⁵) = 8.266e+3, K_B = 8·f_B·L_B / (π²·g·D_B⁵) = 4.439e+4.
  2. Equal Head Loss Principleh_f = K_A·Q_A² = K_B·Q_B² => Q_A / Q_B = √(K_B / K_A) = 2.318.
  3. Flow Distribution SolutionQ_B = Q_total / (1 + 2.318) = 30.14 m³/h. Q_A = 69.86 m³/h.
  4. System Head LossΔh = K_A · (Q_A / 3600)² = 3.11 m fluid column (~30.5 kPa).

Parallel Flow Distribution Split

Interactive visualization based on your current inputs

Flow Rate
0.018365371Branch A (100mm)Branch B (80mm)Vel A (m/s × 10)Vel B (m/s × 10)CircuitFlow (m³/h)

What Is the Parallel Pipe Flow Distribution Calculator?

The Parallel Pipe Flow Distribution Calculator determines how fluids split between two parallel piping runs sharing common inlet and outlet headers.

How Does the Parallel Pipe Flow Distribution Calculator Work?

Fluid automatically redistributes until the pressure drop along every parallel path is identical.

Parallel Pipe Flow Distribution Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

h_{fA} = h_{fB} \implies Q_A / Q_B = \sqrt{\frac{f_B L_B D_A^5}{f_A L_A D_B^5}}, \quad Q_{total} = Q_A + Q_B

Solves the simultaneous flow conservation and equal friction loss equations for closed parallel loops.

How to Use the Parallel Pipe Flow Distribution Calculator

  1. Enter total system header flow rate.
  2. Specify length, inside diameter, and Darcy friction factor for both branches.
  3. Examine split flow rates, velocities, and resulting manifold head loss.

Step-by-Step Example Calculation

Dual Chilled Water Coil Supply Header

Input Values:

totalFlow:100
pipeLengthA:50
pipeDiameterA:100
frictionFactorA:0.02
pipeLengthB:80
pipeDiameterB:80
frictionFactorB:0.022
Worked Steps: Yields 71.3 m³/h through 100mm Branch A and 28.7 m³/h through 80mm Branch B.

Understanding Your Result

Flow Split (%): Share of flow carried by each circuit.

Fluid Velocity: Ensures minimum scouring velocity (>0.6 m/s) and maximum erosion velocity (<3.0 m/s).

Common Head Loss: Pressure loss incurred across the parallel array.

Factors That Affect the Result

  • Pipe internal diameter exerts the single strongest hydraulic control via D⁵.

When Should You Use This Calculator?

  • Hydronic HVAC balancing, multi-pump manifold headers, fire sprinkler loops, and municipal water distributions.

Assumptions & Limitations

  • Assumes Newtonian incompressible fluid flow with negligible elevation difference between branches.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard Darcy-Weisbach head loss formulation.

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