Length of Weir given Clearance Area and Apron Height of Tray Calculator

✖Clearance Area Under Downcomer refers to the open space or gap designed into the downcomer to allow the flow of liquid from one tray to the tray below.ⓘ Clearance Area Under Downcomer [A_ap]			+10% -10%
✖Apron Height refers to the vertical distance between the liquid level on a tray and the bottom of the downcomer.ⓘ Apron Height [h_ap]			+10% -10%

✖The weir length refers to the length of support strips which plays a significant role in controlling liquid distribution, within the column.ⓘ Length of Weir given Clearance Area and Apron Height of Tray [l_w]

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Length of Weir given Clearance Area and Apron Height of Tray

Formula

`"l"_{"w"} = "A"_{"ap"}/"h"_{"ap"}`

Example

`"2.452m"="0.11034m²"/"0.045m"`

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Length of Weir given Clearance Area and Apron Height of Tray Solution

STEP 0: Pre-Calculation Summary

Formula Used

Weir Length = Clearance Area Under Downcomer/Apron Height
l_w = A_ap/h_ap
This formula uses 3 Variables

Variables Used

Weir Length - (Measured in Meter) - The weir length refers to the length of support strips which plays a significant role in controlling liquid distribution, within the column.
Clearance Area Under Downcomer - (Measured in Square Meter) - Clearance Area Under Downcomer refers to the open space or gap designed into the downcomer to allow the flow of liquid from one tray to the tray below.
Apron Height - (Measured in Meter) - Apron Height refers to the vertical distance between the liquid level on a tray and the bottom of the downcomer.

STEP 1: Convert Input(s) to Base Unit

Clearance Area Under Downcomer: 0.11034 Square Meter --> 0.11034 Square Meter No Conversion Required
Apron Height: 0.045 Meter --> 0.045 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_w = A_ap/h_ap --> 0.11034/0.045

Evaluating ... ...

l_w = 2.452

STEP 3: Convert Result to Output's Unit

2.452 Meter --> No Conversion Required

FINAL ANSWER

2.452 Meter <-- Weir Length

(Calculation completed in 00.004 seconds)

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Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

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< 25 Distillation Tower Design Calculators

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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

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Tower Cross Sectional Area given Gas Volumetric Flow and Flooding Velocity

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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

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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

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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

Fractional Active Area given Fractional Downcomer Area

Go Fractional Active Area = 1-Fractional Downcomer Area

Residual Head Loss in Pressure in Distillation Column

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

Length of Weir given Clearance Area and Apron Height of Tray Formula

Weir Length = Clearance Area Under Downcomer/Apron Height
l_w = A_ap/h_ap

What is the Role of Clearance Area under Downcomer?

The clearance area facilitates the downward flow of liquid from an upper tray to a lower tray. This flow is essential for the distillation process, as it allows liquid and vapor to come into contact on each tray, promoting the separation of components. The clearance area, combined with other design features like the weir and tray geometry, helps distribute liquid evenly across the tray. This is crucial for achieving optimal separation in the column.

What is Significance of Weir in Distillation?

In the context of distillation trays in a distillation column, a weir is a structure designed to control the liquid flow on the tray. The significance of a weir lies in its role in facilitating proper liquid distribution, preventing flooding, and ensuring efficient vapor-liquid contact.
The weir contributes to controlling the residence time of liquid on the tray. Proper residence time is essential for achieving the desired separation of components, and the weir helps manage the liquid flow to ensure optimal contact time.
The weir influences the vapor-liquid contact efficiency by guiding the liquid flow and preventing direct vapor bypass. Efficient contact between the vapor and liquid phases is crucial for achieving effective separation.

How to Calculate Length of Weir given Clearance Area and Apron Height of Tray?

Length of Weir given Clearance Area and Apron Height of Tray calculator uses Weir Length = Clearance Area Under Downcomer/Apron Height to calculate the Weir Length, The Length of Weir given Clearance Area and Apron Height of Tray formula provides the length of the weir based on the specified clearance area and apron height. Weir Length is denoted by l_w symbol.

How to calculate Length of Weir given Clearance Area and Apron Height of Tray using this online calculator? To use this online calculator for Length of Weir given Clearance Area and Apron Height of Tray, enter Clearance Area Under Downcomer (A_ap) & Apron Height (h_ap) and hit the calculate button. Here is how the Length of Weir given Clearance Area and Apron Height of Tray calculation can be explained with given input values -> 2.452 = 0.11034/0.045.

FAQ

What is Length of Weir given Clearance Area and Apron Height of Tray?

The Length of Weir given Clearance Area and Apron Height of Tray formula provides the length of the weir based on the specified clearance area and apron height and is represented as l_w = A_ap/h_ap or Weir Length = Clearance Area Under Downcomer/Apron Height. Clearance Area Under Downcomer refers to the open space or gap designed into the downcomer to allow the flow of liquid from one tray to the tray below & Apron Height refers to the vertical distance between the liquid level on a tray and the bottom of the downcomer.

How to calculate Length of Weir given Clearance Area and Apron Height of Tray?

The Length of Weir given Clearance Area and Apron Height of Tray formula provides the length of the weir based on the specified clearance area and apron height is calculated using Weir Length = Clearance Area Under Downcomer/Apron Height. To calculate Length of Weir given Clearance Area and Apron Height of Tray, you need Clearance Area Under Downcomer (A_ap) & Apron Height (h_ap). With our tool, you need to enter the respective value for Clearance Area Under Downcomer & Apron Height 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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