What Is the Plug Flow Reactor (PFR) Sizing & Conversion Calculator?
A PFR is a tubular reactor characterized by progressive conversion along its length with zero backmixing.
How Does the Plug Flow Reactor (PFR) Sizing & Conversion Calculator Work?
Integrates the plug flow differential design equation dX/dV = -r_A / F_A0.
Computes space time τ and reactor volume V.
Compares resulting volume against an equivalent CSTR.
Plug Flow Reactor (PFR) Sizing & Conversion Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
τ = (1 / k) · ln[ 1 / (1 - X_A) ], V = v₀ · τ
Integrated differential mole balance for isothermal first-order reaction in ideal tubular plug flow.
How to Use the Plug Flow Reactor (PFR) Sizing & Conversion Calculator
- Input flow rate, feed concentration, desired conversion, and rate constant.
Step-by-Step Example Calculation
Tubular Converter Conversion
Input Values:
volumetricFlow:2
feedConcentration:500
conversion:0.8
rateConstant:1.5
Worked Steps: Tubular reactor converting 80% of feed at k = 1.5 h⁻¹.
Understanding Your Result
Primary output indicates required tubular volume in m³.
Summary displays space time and efficiency multiplier over a CSTR.
Factors That Affect the Result
- Kinetic order (PFR advantage grows larger for higher reaction orders).
When Should You Use This Calculator?
- Gas-phase reactions, high-temperature cracking, and petrochemical tubular converters.
Assumptions & Limitations
- Assumes plug flow without radial concentration gradients or axial dispersion.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Analytical integrated design equation.