Packed Bed Pressure Drop Calculator

Engineering calculator reviewed for preliminary design use · Last updated: March 2026

Calculate packed bed pressure drop using the Ergun equation from particle size, bed void fraction, fluid properties, and bed height. Apply to fixed-bed reactors, absorption towers, and adsorption systems.

What this calculator is used for

Packed beds are widely used in chemical reactors, adsorption columns, absorption towers, and dryers throughout the process industry. When fluid flows through packed particles, it experiences significant pressure loss due to friction and the tortuous flow path created by the packing material. Accurate estimation of this pressure drop is essential for blower, compressor, and pump sizing, as well as for verifying operating pressure margins.

Typical engineering use cases

  • Preliminary design of packed bed reactors and adsorption columns
  • Blower and compressor pressure requirement estimation
  • Evaluating the impact of particle size and void fraction on system performance
  • Assessing pressure drop increases due to fouling or packing degradation
  • Operating pressure margin verification for existing systems

Governing equation and methodology

This calculator uses the Ergun equation, which combines viscous and inertial loss terms:

ΔP/L = (150·μ·(1−ε)²)/(ε³·dp²)·v + (1.75·ρ·(1−ε))/(ε³·dp)·v²

This equation is applicable over a wide range of Reynolds numbers and is commonly used for both gas and liquid flow through packed beds.

Engineering assumptions and limitations

  • Uniform particle size and packing
  • Steady-state, single-phase flow
  • No channeling or maldistribution
  • Wall effects in small-diameter columns not considered

Practical design notes

In practice, pressure drop tends to increase over time due to fouling or particle breakage. Apply appropriate design margins for continuous operation. For critical systems, pilot data or vendor guarantees are recommended to validate the design.

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Frequently Asked Questions

What is the Ergun equation?

The Ergun equation combines viscous (Blake-Kozeny) and inertial (Burke-Plummer) terms to predict pressure drop across a packed bed. It is valid for a wide range of Reynolds numbers and is the standard method for fixed-bed design.

How does void fraction affect pressure drop?

Pressure drop is extremely sensitive to void fraction ε. The Ergun equation has terms proportional to (1-ε)²/ε³ and (1-ε)/ε³. A small decrease in void fraction (e.g., 0.40 to 0.35) can increase pressure drop by over 50%.

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Editorial Responsibility
  • Last reviewed: March 2026
  • Reviewed by: EngiCompute Editorial Team
  • Intended for preliminary engineering use

These results are preliminary estimates for screening-level design use. They do not replace detailed engineering, code compliance verification, or vendor-certified calculations.