Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity Calculator

✖Vapor Mass Flowrate is the mass flow rate of vapor component in column.ⓘ Vapor Mass Flowrate [V_W]			+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 [U_v]			+10% -10%

✖Column Diameter refers to the diameter of the column wherein the mass transfer or any other unit operations takes place.ⓘ Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity [D_c]

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Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Column Diameter = sqrt((4*Vapor Mass Flowrate)/(pi*Vapor Density in Distillation*Maximum Allowable Vapor Velocity))
D_c = sqrt((4*V_W)/(pi*ρ_V*U_v))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Column Diameter - (Measured in Meter) - Column Diameter refers to the diameter of the column wherein the mass transfer or any other unit operations takes place.
Vapor Mass Flowrate - (Measured in Kilogram per Second) - Vapor Mass Flowrate is the mass flow rate of vapor component in column.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Vapor Mass Flowrate: 4.157 Kilogram per Second --> 4.157 Kilogram per Second No Conversion Required
Vapor Density in Distillation: 1.71 Kilogram per Cubic Meter --> 1.71 Kilogram per Cubic Meter No Conversion Required
Maximum Allowable Vapor Velocity: 1.12932479467671 Meter per Second --> 1.12932479467671 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_c = sqrt((4*V_W)/(pi*ρ_V*U_v)) --> sqrt((4*4.157)/(pi*1.71*1.12932479467671))

Evaluating ... ...

D_c = 1.65553201910082

STEP 3: Convert Result to Output's Unit

1.65553201910082 Meter --> No Conversion Required

FINAL ANSWER

1.65553201910082 ≈ 1.655532 Meter <-- Column Diameter

(Calculation completed in 00.022 seconds)

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Created by Rishi Vadodaria

Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

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Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity Formula

LaTeX Go

Column Diameter = sqrt((4*Vapor Mass Flowrate)/(pi*Vapor Density in Distillation*Maximum Allowable Vapor Velocity))
D_c = sqrt((4*V_W)/(pi*ρ_V*U_v))

What is the Significance of Column Diameter?

The column diameter is a critical parameter that has significant implications for the efficiency and performance of the distillation process. The column diameter plays a crucial role in determining the separation and throughput capabilities of a distillation column.
The column diameter directly affects the separation efficiency of a distillation column. A larger column diameter provides more surface area for vapor-liquid contact, allowing for better separation of components in a mixture.

How to Calculate Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity?

Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity calculator uses Column Diameter = sqrt((4*Vapor Mass Flowrate)/(pi*Vapor Density in Distillation*Maximum Allowable Vapor Velocity)) to calculate the Column Diameter, The Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity formula is defined as the diameter of the column where in the vapor component can have a maximum velocity for safe and optimum operations. Column Diameter is denoted by D_c symbol.

How to calculate Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity using this online calculator? To use this online calculator for Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity, enter Vapor Mass Flowrate (V_W), Vapor Density in Distillation (ρ_V) & Maximum Allowable Vapor Velocity (U_v) and hit the calculate button. Here is how the Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity calculation can be explained with given input values -> 1.657974 = sqrt((4*4.157)/(pi*1.71*1.12932479467671)).

FAQ

What is Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity?

The Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity formula is defined as the diameter of the column where in the vapor component can have a maximum velocity for safe and optimum operations and is represented as D_c = sqrt((4*V_W)/(pi*ρ_V*U_v)) or Column Diameter = sqrt((4*Vapor Mass Flowrate)/(pi*Vapor Density in Distillation*Maximum Allowable Vapor Velocity)). Vapor Mass Flowrate is the mass flow rate of vapor component in column, Vapor Density in Distillation is defined as the ratio of mass to the volume of vapor at particular temperature in a distillation Column & Maximum Allowable Vapor Velocity is a critical velocity of the vapor component that can be operated in a distillation column.

How to calculate Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity?

The Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity formula is defined as the diameter of the column where in the vapor component can have a maximum velocity for safe and optimum operations is calculated using Column Diameter = sqrt((4*Vapor Mass Flowrate)/(pi*Vapor Density in Distillation*Maximum Allowable Vapor Velocity)). To calculate Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity, you need Vapor Mass Flowrate (V_W), Vapor Density in Distillation (ρ_V) & Maximum Allowable Vapor Velocity (U_v). With our tool, you need to enter the respective value for Vapor Mass Flowrate, Vapor Density in Distillation & Maximum Allowable Vapor Velocity 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 Column Diameter?

In this formula, Column Diameter uses Vapor Mass Flowrate, Vapor Density in Distillation & Maximum Allowable Vapor Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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