Carboncapture Engineering

Carbon Capture Adsorption Bed Breakthrough Time Estimator (Thomas Model) calculator

Carbon Capture Adsorption Bed Breakthrough Time Estimator (Thomas Model) engineering calculator.

Runnable This tool can run, but independent engineering verification has not been established.

Quick Answer

The carbon capture adsorption bed breakthrough time estimator (thomas model) calculator computes breakthrough time from the input values you provide.

Calculator

Breakthrough time (s)
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Result Interpretation

Carbon Capture Adsorption Bed Breakthrough Time Estimator (Thomas Model) calculator computes Breakthrough time in s using the defined engineering formula and the input values provided. Breakthrough time is expressed in s. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Equilibrium adsorption capacity = 1.8
  • Adsorbent bulk density = 650
  • Bed length = 1.2
  • Inlet CO₂ concentration = 0.015
  • Superficial gas velocity = 0.15
  • Thomas rate constant = 1250
  • Breakthrough fraction (e.g., 0.05 for 5%) = 0.05

Expected Result:

  • Breakthrough time = 253328.19997453

Engineering Interpretation:

Under the given input conditions, the calculated result is: Breakthrough time = 253328.19997453 s.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.

Formula / Method

breakthrough time = (equilibrium adsorption capacity * adsorbent bulk density * bed length) / (inlet co₂ concentration * superficial gas velocity) * (1 - exp(-thomas rate constant * inlet co₂ concentration * e.g., 0.05 for 5% / equilibrium adsorption capacity))

Breakthrough time.

Variables

SymbolLabelRoleDescription
q_star Equilibrium adsorption capacity INPUT Equilibrium adsorption capacity
rho_bed Adsorbent bulk density INPUT Adsorbent bulk density
L Bed length INPUT Bed length
C0 Inlet CO₂ concentration INPUT Inlet CO₂ concentration
u0 Superficial gas velocity INPUT Superficial gas velocity
K_th Thomas rate constant INPUT Thomas rate constant
breakthrough_fraction Breakthrough fraction (e.g., 0.05 for 5%) INPUT Breakthrough fraction (e.g., 0.05 for 5%)
breakthrough_time Breakthrough time OUTPUT Breakthrough time

Calculation Steps

  1. Enter the equilibrium adsorption capacity in mol_CO2/kg_sorbent.
  2. Enter the adsorbent bulk density in kg_sorbent/m^3.
  3. Enter the bed length in m.
  4. Enter the inlet co₂ concentration in mol_CO2/m^3.
  5. Enter the superficial gas velocity in m/s.
  6. Enter the thomas rate constant in m^3/(mol_CO2·s).
  7. Enter the breakthrough fraction (e.g., 0.05 for 5%) in 1.
  8. Step 1: Compute breakthrough time.
  9. Read the breakthrough time (s) from the results.

Frequently Asked Questions

What does this calculator calculate?

The Carbon Capture Adsorption Bed Breakthrough Time Estimator (Thomas Model) calculator estimates Breakthrough time based on the input parameters you provide

Why is equilibrium adsorption capacity important in this calculation?

equilibrium adsorption capacity is used directly in the calculation of breakthrough time. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter equilibrium adsorption capacity in mol_CO2/kg_sorbent, the calculator uses it in the engineering formula to compute the output

How should I interpret the result breakthrough time?

The calculator outputs breakthrough time in s. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Equilibrium adsorption capacity (mol_CO2/kg_sorbent), Adsorbent bulk density (kg_sorbent/m^3), Bed length (m), Inlet CO₂ concentration (mol_CO2/m^3), Superficial gas velocity (m/s), Thomas rate constant (m^3/(mol_CO2·s)). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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