Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities Calculator

✖Plate Spacing refers to tray spacing or the distance between trays in a distillation column.ⓘ Plate Spacing [l_t]			+10% -10%
✖Liquid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies.ⓘ Liquid Density [ρ_L]			+10% -10%
✖Vapor Density in Distillation is defined as the ratio of mass to the volume of vapor at particular temperature in a distillation Column.ⓘ Vapor Density in Distillation [ρ_V]			+10% -10%

✖Maximum Allowable Vapor Velocity is a critical velocity of the vapor component that can be operated in a distillation column.ⓘ Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities [U_v]

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Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities

Formula

`"U"_{"v"} = (-0.171*("l"_{"t"})^2+0.27*"l"_{"t"}-0.047)*(("ρ"_{"L"}-"ρ"_{"V"})/"ρ"_{"V"})^0.5`

Example

`"1.129325m/s"=(-0.171*("0.51672m")^2+0.27*"0.51672m"-0.047)*(("995kg/m³"-"1.71kg/m³")/"1.71kg/m³")^0.5`

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Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Allowable Vapor Velocity = (-0.171*(Plate Spacing)^2+0.27*Plate Spacing-0.047)*((Liquid Density-Vapor Density in Distillation)/Vapor Density in Distillation)^0.5
U_v = (-0.171*(l_t)^2+0.27*l_t-0.047)*((ρ_L-ρ_V)/ρ_V)^0.5
This formula uses 4 Variables

Variables Used

Maximum Allowable Vapor Velocity - (Measured in Meter per Second) - Maximum Allowable Vapor Velocity is a critical velocity of the vapor component that can be operated in a distillation column.
Plate Spacing - (Measured in Meter) - Plate Spacing refers to tray spacing or the distance between trays in a distillation column.
Liquid Density - (Measured in Kilogram per Cubic Meter) - Liquid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies.
Vapor Density in Distillation - (Measured in Kilogram per Cubic Meter) - Vapor Density in Distillation is defined as the ratio of mass to the volume of vapor at particular temperature in a distillation Column.

STEP 1: Convert Input(s) to Base Unit

Plate Spacing: 0.51672 Meter --> 0.51672 Meter No Conversion Required
Liquid Density: 995 Kilogram per Cubic Meter --> 995 Kilogram per Cubic Meter No Conversion Required
Vapor Density in Distillation: 1.71 Kilogram per Cubic Meter --> 1.71 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_v = (-0.171*(l_t)^2+0.27*l_t-0.047)*((ρ_L-ρ_V)/ρ_V)^0.5 --> (-0.171*(0.51672)^2+0.27*0.51672-0.047)*((995-1.71)/1.71)^0.5

Evaluating ... ...

U_v = 1.12932479467671

STEP 3: Convert Result to Output's Unit

1.12932479467671 Meter per Second --> No Conversion Required

FINAL ANSWER

1.12932479467671 ≈ 1.129325 Meter per Second <-- Maximum Allowable Vapor Velocity

(Calculation completed in 00.020 seconds)

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Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

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Go Relative Volatility = exp(0.25164*((1/Normal Boiling Point of Component 1)-(1/Normal Boiling Point of Component 2))*(Latent Heat of Vaporization of Component 1+Latent Heat of Vaporization of Component 2))

Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities

Go Maximum Allowable Vapor Velocity = (-0.171*(Plate Spacing)^2+0.27*Plate Spacing-0.047)*((Liquid Density-Vapor Density in Distillation)/Vapor Density in Distillation)^0.5

Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity

Go Column Diameter = sqrt((4*Vapor Mass Flowrate)/(pi*Vapor Density in Distillation*Maximum Allowable Vapor Velocity))

Tower Cross Sectional Area given Gas Volumetric Flow and Flooding Velocity

Go Tower Cross Sectional Area = Volumetric Gas Flow/((Fractional Approach to Flooding Velocity*Flooding Velocity)*(1-Fractional Downcomer Area))

Minimum External Reflux given Compositions

Go External Reflux Ratio = (Distillate Composition-Equilibrium Vapor Composition)/(Equilibrium Vapor Composition-Equilibrium Liquid Composition)

Maximum Allowable Mass Velocity using Bubble Cap Trays

Go Maximum Allowable Mass Velocity = Entrainment Factor*(Vapor Density in Distillation*(Liquid Density-Vapor Density in Distillation)^(1/2))

Minimum Internal Reflux given Compositions

Go Internal Reflux Ratio = (Distillate Composition-Equilibrium Vapor Composition)/(Distillate Composition-Equilibrium Liquid Composition)

Dry Plate Pressure Drop in Distillation Column Design

Go Dry Plate Head Loss = 51*((Vapor Velocity Based on Hole Area/Orifice Coefficient)^2)*(Vapor Density in Distillation/Liquid Density)

Flooding Velocity in Distillation Column Design

Go Flooding Velocity = Capacity Factor*((Liquid Density-Vapor Density in Distillation)/Vapor Density in Distillation)^0.5

Weep Point Velocity in Distillation Column Design

Go Weep Point Vapor Velocity Based on Hole Area = (Weep Point Correlation Constant-0.90*(25.4-Hole Diameter))/((Vapor Density in Distillation)^0.5)

Liquid Vapor Flow Factor in Distillation Column Design

Go Flow Factor = (Liquid Mass Flowrate/Vapor Mass Flowrate)*((Vapor Density in Distillation/Liquid Density)^0.5)

Downcomer Residence Time in Distillation Column

Go Residence Time = (Downcomer Area*Clear Liquid Backup*Liquid Density)/Liquid Mass Flowrate

Internal Reflux Ratio Based on Liquid and Distillate Flowrates

Go Internal Reflux Ratio = Liquid Reflux Flowrate/(Liquid Reflux Flowrate+Distillate Flowrate)

Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor

Go Column Diameter = ((4*Vapor Mass Flowrate)/(pi*Maximum Allowable Mass Velocity))^(1/2)

Head Loss in Downcomer of Tray Tower

Go Downcomer Headloss = 166*((Liquid Mass Flowrate/(Liquid Density*Downcomer Area)))^2

Height of Liquid Crest over Weir

Go Weir Crest = (750/1000)*((Liquid Mass Flowrate/(Weir Length*Liquid Density))^(2/3))

Active Area given Gas Volumetric Flow and Flow Velocity

Go Active Area = Volumetric Gas Flow/(Fractional Downcomer Area*Flooding Velocity)

Fractional Downcomer Area given Total Cross Sectional Area

Go Fractional Downcomer Area = 2*(Downcomer Area/Tower Cross Sectional Area)

Fractional Active Area given Downcomer Area and Total Column Area

Go Fractional Active Area = 1-2*(Downcomer Area/Tower Cross Sectional Area)

Internal Reflux Ratio Given External Reflux Ratio

Go Internal Reflux Ratio = External Reflux Ratio/(External Reflux Ratio+1)

Tower Cross Sectional Area given Fractional Active Area

Go Tower Cross Sectional Area = Active Area/(1-Fractional Downcomer Area)

Tower Cross Sectional Area given Active Area

Go Tower Cross Sectional Area = Active Area/(1-Fractional Downcomer Area)

Clearance Area under Downcomer given Weir Length and Apron Height

Go Clearance Area Under Downcomer = Apron Height*Weir Length

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Go Fractional Active Area = 1-Fractional Downcomer Area

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Go Residual Head Loss = (12.5*10^3)/Liquid Density

Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities Formula

What is the Significance of Vapor Velocity and Tray Spacing in Distillation Column?

Both vapor velocity and tray spacing are crucial parameters in the design and operation of distillation columns. Vapor velocity is the speed at which vapor flows through the column. It plays a crucial role in promoting efficient mass transfer between the vapor and liquid phases on each tray.
Tray spacing, or the distance between trays, directly influences the separation efficiency of the distillation column. Smaller tray spacing allows for more frequent vapor-liquid contact, leading to better separation of components in the feedstock.

How to Calculate Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities?

Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities calculator uses Maximum Allowable Vapor Velocity = (-0.171*(Plate Spacing)^2+0.27*Plate Spacing-0.047)*((Liquid Density-Vapor Density in Distillation)/Vapor Density in Distillation)^0.5 to calculate the Maximum Allowable Vapor Velocity, The Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities formula is defined as upper limit of the velocity of vapor component that can be achieved in a column under going distillation Process. Maximum Allowable Vapor Velocity is denoted by U_v symbol.

How to calculate Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities using this online calculator? To use this online calculator for Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities, enter Plate Spacing (l_t), Liquid Density (ρ_L) & Vapor Density in Distillation (ρ_V) and hit the calculate button. Here is how the Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities calculation can be explained with given input values -> 1.129325 = (-0.171*(0.51672)^2+0.27*0.51672-0.047)*((995-1.71)/1.71)^0.5.

FAQ

What is Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities?

The Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities formula is defined as upper limit of the velocity of vapor component that can be achieved in a column under going distillation Process and is represented as U_v = (-0.171*(l_t)^2+0.27*l_t-0.047)*((ρ_L-ρ_V)/ρ_V)^0.5 or Maximum Allowable Vapor Velocity = (-0.171*(Plate Spacing)^2+0.27*Plate Spacing-0.047)*((Liquid Density-Vapor Density in Distillation)/Vapor Density in Distillation)^0.5. Plate Spacing refers to tray spacing or the distance between trays in a distillation column, Liquid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies & Vapor Density in Distillation is defined as the ratio of mass to the volume of vapor at particular temperature in a distillation Column.

How to calculate Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities?

The Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities formula is defined as upper limit of the velocity of vapor component that can be achieved in a column under going distillation Process is calculated using Maximum Allowable Vapor Velocity = (-0.171*(Plate Spacing)^2+0.27*Plate Spacing-0.047)*((Liquid Density-Vapor Density in Distillation)/Vapor Density in Distillation)^0.5. To calculate Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities, you need Plate Spacing (l_t), Liquid Density (ρ_L) & Vapor Density in Distillation (ρ_V). With our tool, you need to enter the respective value for Plate Spacing, Liquid Density & Vapor Density in Distillation and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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