F Curve for Laminar Flow in Pipes for Proper RTD Solution

STEP 0: Pre-Calculation Summary
Formula Used
F Curve = 1-(1/(4*Mean Residence Time^2))
F = 1-(1/(4*θ^2))
This formula uses 2 Variables
Variables Used
F Curve - F Curve is the Derivative of the E curve.
Mean Residence Time - (Measured in Second) - Mean Residence Time is the ratio of Time and Residence Time.
STEP 1: Convert Input(s) to Base Unit
Mean Residence Time: 0.53 Second --> 0.53 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = 1-(1/(4*θ^2)) --> 1-(1/(4*0.53^2))
Evaluating ... ...
F = 0.11000355998576
STEP 3: Convert Result to Output's Unit
0.11000355998576 --> No Conversion Required
FINAL ANSWER
0.11000355998576 0.110004 <-- F Curve
(Calculation completed in 00.004 seconds)

Credits

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Created by Pavan Kumar
Anurag Group of Institutions (AGI), Hyderabad
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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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9 Convection Model for Laminar Flow Calculators

Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors
​ Go Reactant Concentration = Initial Reactant Conc.*(1-(Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.)*(1-((Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.)/2)*ln(1+(2/(Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.)))))
Dispersion using General Axis Expression
​ Go Dispersion Coefficient for General Axis Expression = Diffusion Coefficient for General Axis Dispersion+(Velocity of Pulse for General Axis Expression^2*Diameter of Tube^2)/(192*Diffusion Coefficient for General Axis Dispersion)
Reactant Concentration for Chemical Conversions for Zero Order in Laminar Flow Reactors
​ Go Reactant Concentration = Initial Reactant Conc.*(1-((Rate Constant for Zero Order Reaction*Mean Pulse Curve)/(2*Initial Reactant Conc.))^2)
Dispersion using Taylor Expression Formula
​ Go Dispersion Coefficient for Taylor Expression = (Velocity of Pulse for Taylor Expression^2*Diameter of Tube^2)/(192*Diffusion Coefficient for Taylor Dispersion)
Bodenstein Number
​ Go Bodenstien Number = (Fluid Velocity*Diameter of Tube)/Diffusion Coefficient of Flow for Dispersion
Mean Residence Time for Proper RTD
​ Go Mean Residence Time = sqrt(1/(4*(1-F Curve)))
F Curve for Laminar Flow in Pipes for Proper RTD
​ Go F Curve = 1-(1/(4*Mean Residence Time^2))
Mean Residence Time for Improper RTD
​ Go Mean Residence Time = 1/(2*(1-F Curve))
F Curve for Laminar Flow in Pipes for Improper RTD
​ Go F Curve = 1-1/(2*Mean Residence Time)

F Curve for Laminar Flow in Pipes for Proper RTD Formula

F Curve = 1-(1/(4*Mean Residence Time^2))
F = 1-(1/(4*θ^2))

What is F?

It is the Dimensionless form of C-Step Curve. It is also found by derivating the E Curve with respect to Time.

What is θ ?

θ is the Mean Residence Time, which is the ratio between time and the mean of Cpulse curve.

How to Calculate F Curve for Laminar Flow in Pipes for Proper RTD?

F Curve for Laminar Flow in Pipes for Proper RTD calculator uses F Curve = 1-(1/(4*Mean Residence Time^2)) to calculate the F Curve, The F Curve for Laminar Flow in Pipes for Proper RTD formula is defined as F Curve data obtained, when the Flow is Laminar and Residence Time Distribution (RTD) is Uniform throughout the Reaction. F Curve is denoted by F symbol.

How to calculate F Curve for Laminar Flow in Pipes for Proper RTD using this online calculator? To use this online calculator for F Curve for Laminar Flow in Pipes for Proper RTD, enter Mean Residence Time (θ) and hit the calculate button. Here is how the F Curve for Laminar Flow in Pipes for Proper RTD calculation can be explained with given input values -> 0.987087 = 1-(1/(4*0.53^2)).

FAQ

What is F Curve for Laminar Flow in Pipes for Proper RTD?
The F Curve for Laminar Flow in Pipes for Proper RTD formula is defined as F Curve data obtained, when the Flow is Laminar and Residence Time Distribution (RTD) is Uniform throughout the Reaction and is represented as F = 1-(1/(4*θ^2)) or F Curve = 1-(1/(4*Mean Residence Time^2)). Mean Residence Time is the ratio of Time and Residence Time.
How to calculate F Curve for Laminar Flow in Pipes for Proper RTD?
The F Curve for Laminar Flow in Pipes for Proper RTD formula is defined as F Curve data obtained, when the Flow is Laminar and Residence Time Distribution (RTD) is Uniform throughout the Reaction is calculated using F Curve = 1-(1/(4*Mean Residence Time^2)). To calculate F Curve for Laminar Flow in Pipes for Proper RTD, you need Mean Residence Time (θ). With our tool, you need to enter the respective value for Mean Residence Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate F Curve?
In this formula, F Curve uses Mean Residence Time. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • F Curve = 1-1/(2*Mean Residence Time)
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