Concentration Formula:
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Definition: This calculator determines the concentration profile in a system where the dispersion number is less than 0.01, indicating minimal dispersion effects.
Purpose: It's used in chemical engineering and reactor design to predict concentration distributions in systems with low dispersion.
The calculator uses the formula:
Where:
Explanation: The formula describes how concentration changes with position and time in a system with minimal dispersion.
Details: Accurate concentration prediction is crucial for reactor design, environmental engineering, and process optimization in chemical systems.
Tips: Enter the dispersion coefficient (default 0.0085 m²/s), velocity (default 40 m/s), length of spread (default 0.92 m), and mean residence time (default 0.98). All values except θ must be > 0.
Q1: When is this formula applicable?
A: This formula is specifically for systems where the dispersion number (D/uL) is less than 0.01, indicating negligible dispersion effects.
Q2: What's a typical dispersion coefficient value?
A: In laminar flow, Dp might be 10^-5 to 10^-4 m²/s, while in turbulent flow it could be 10^-3 to 10^-1 m²/s.
Q3: What does θ = 1 represent?
A: θ = 1 represents the mean residence time where concentration peaks in the system.
Q4: How does velocity affect concentration?
A: Higher velocities generally lead to narrower concentration profiles (less spreading).
Q5: What are the units of concentration?
A: The concentration units depend on your input units, typically mol/m³ for chemical systems.