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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Formula

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Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities

Formula

U v = (- 0.171 \cdot {(l t)}^{2} + 0.27 \cdot l t - 0.047) \cdot {(\frac{ρ L - ρ V}{ρ V})}^{0.5}

Example

1.129325 m/s = (- 0.171 \cdot {(0.51672 m)}^{2} + 0.27 \cdot 0.51672 m - 0.047) \cdot {(\frac{995 kg/m³ - 1.71 kg/m³}{1.71 kg/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 00.004 seconds)

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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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