Residence Time Distribution
15 important questions on Residence Time Distribution
What does a PFR with infinite axial dispersion behave like?
What is the relevance of residence time distribution (RTD) in a bubble column reactor?
- Bubble Column Reactor:
- - Gas A and Liquid B interaction: A(G) + B(L) → B(L) + C(L).
- Bubble Behavior:
- - Larger bubbles rise faster.
- - Bubble size affects residence time.
- - Longer residence times mean more reactant transfer.
- Importance:
- - Individual bubble residence times matter, not just average gas phase times.
What causes residence time distribution in a packed bed reactor?
- Non-uniform distribution of catalyst packing.
- Differences in flow resistance.
- Fluid may channel through sections of least resistance.
- Not all molecules spend the same time in the reactor.
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What happens to "fluid packages" in the reactor, and how is the conversion measured?
- Fluid packages follow diverse trajectories.
- Unmixed packages exhibit varied composition/conversion at the outlet.
- Conversion is measured as the average degree of conversion of all packages leaving the reactor (between t and t+Δt).
What is the response to feeding an ideal tracer pulse at \( t = 0 \) seconds?
- Response involves the Dirac delta function.
- All tracer is fed instantaneously as a pulse.
- Normalization condition: \[\int_{0}^{\infty} \delta(t) \, dt = 1.\]
- Response describes concentration change over time.
What is the meaning of E(t) in residence time distribution?
- E(t) represents the exit age distribution function.
- It signifies the fraction of fluid exiting the outlet with residence time between t₁ and t₁ + Δt.
- Characterizes the variation of residence times in a reactor.
- Used to identify issues like by-passing or dead volumes.
What does F(t) represent in the context of residence time distribution?
- F(t) is the cumulative age distribution function.
- Represents the fraction of fluid with residence time smaller than t₁ at the outlet.
- Obtained through experimental methods.
- Useful for understanding complete fluid behavior in reactors.
Why is it sufficient to use RTD for Non-Ideal Reactors
What is a residence time distribution?
What is the gray area of this graph?
Why is the total area equal to 1 between t=0 and t=infinity?
What is the formula of the Average Residence Time?
What is the relevance of the variance in RTD?
- Quantifies the spread of data values.
- Helps in understanding the consistency of measurements.
- Aids in identifying potential errors or anomalies in data.
- Enhances the accuracy of results comparison.
- Influences the interpretation of statistical significance.
What is the F(t)-function, and what does its curve represent?
- Cumulative RTD function, F(t): Integral of E(t).
- Defined as: \( F(t) = \int_{0}^{t} E(t) \, dt \).
- F(t)-curve: Illustrates cumulative distribution over time.
- Ranges from 0 to 1 as \( t \) increases.
Feed an ideal tracer pulse to the feed at t=0, what is the RTD response of a PFR?
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