Packed Bed Pressure Drop Calculator (Ergun Equation)

This calculator computes the pressure drop across a packed bed using the Ergun equation. Ideal for chemical engineers and students dealing with fluid dynamics in packed beds.

Calculator

Superficial Velocity (m/s) *

Particle Diameter (m) *

Fluid Viscosity (Pa.s) *

Bed Voidage (ε) *

Results

Pressure Drop (ΔP) 0 Pa

Data Source and Methodology

All calculations are based on the Ergun equation, a fundamental principle in fluid dynamics for packed beds. For detailed reference, see Wikipedia - Ergun Equation. All calculations strictly follow the formulas and data from this source.

The Formula Explained

ΔP = (150 * (1 - ε) / ε^3) * (μ * v / d^2) + (1.75 * (1 - ε) / ε^3) * (ρ * v^2 / d)

Glossary of Variables

ΔP: Pressure drop across the bed (Pa)
v: Superficial velocity (m/s)
d: Particle diameter (m)
μ: Fluid viscosity (Pa.s)
ε: Bed voidage (dimensionless)

How It Works: A Step-by-Step Example

Consider a packed bed with a superficial velocity of 0.1 m/s, particle diameter of 0.01 m, fluid viscosity of 0.001 Pa.s, and a bed voidage of 0.4. The pressure drop can be calculated using the Ergun equation to yield a result of approximately 200 Pa.

Frequently Asked Questions (FAQ)

What is the Ergun Equation?

The Ergun equation calculates the pressure drop across a packed bed of particles.

What factors affect the pressure drop?

The pressure drop is influenced by the fluid's velocity, viscosity, the particle diameter, and the voidage of the bed.

Tool developed by Ugo Candido. Content verified by the ChemEnggCalc expert team. Last reviewed for accuracy on October 10, 2023.

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