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Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities Formula

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Maximum Allowable Vapor Velocity is a critical velocity of the vapor component that can be operated in a distillation column. Check FAQs

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}

U_v - Maximum Allowable Vapor Velocity?l_t - Plate Spacing?ρ_L - Liquid Density?ρ_V - Vapor Density in Distillation?

Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities Example

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Here is how the Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities equation looks like with Values.

Here is how the Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities equation looks like with Units.

Here is how the Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities equation looks like.

1.1293 = (- 0.171 \cdot {(0.5167)}^{2} + 0.27 \cdot 0.5167 - 0.047) \cdot {(\frac{995 - 1.71}{1.71})}^{0.5}

1.1293m/s = (- 0.171 \cdot {(0.5167m)}^{2} + 0.27 \cdot 0.5167m - 0.047) \cdot {(\frac{995kg/m³ - 1.71kg/m³}{1.71kg/m³})}^{0.5}

1.1293 = (- 0.171 \cdot {(0.5167)}^{2} + 0.27 \cdot 0.5167 - 0.047) \cdot {(\frac{995 - 1.71}{1.71})}^{0.5}

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Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities Solution

Follow our step by step solution on how to calculate Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities?

FIRST Step Consider the 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}

Next Step Substitute values of Variables

∴

U v = (- 0.171 \cdot {(0.5167m)}^{2} + 0.27 \cdot 0.5167m - 0.047) \cdot {(\frac{995kg/m³ - 1.71kg/m³}{1.71kg/m³})}^{0.5}

Next Step Prepare to Evaluate

∴

U v = (- 0.171 \cdot {(0.5167)}^{2} + 0.27 \cdot 0.5167 - 0.047) \cdot {(\frac{995 - 1.71}{1.71})}^{0.5}

Next Step Evaluate

∴

U v = 1.12932479467671m/s

LAST Step Rounding Answer

∴

U v = 1.1293m/s

Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities Formula Elements

Variables

Maximum Allowable Vapor Velocity

Maximum Allowable Vapor Velocity is a critical velocity of the vapor component that can be operated in a distillation column.

Symbol: U_v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Maximum Allowable Vapor Velocity

Plate Spacing

Plate Spacing refers to tray spacing or the distance between trays in a distillation column.

Symbol: l_t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Plate Spacing

Liquid Density

Liquid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies.

Symbol: ρ_L

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Liquid Density

Vapor Density in Distillation

Vapor Density in Distillation is defined as the ratio of mass to the volume of vapor at particular temperature in a distillation Column.

Symbol: ρ_V

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Vapor Density in Distillation

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Go Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor

D c = {(\frac{4 \cdot V W}{π \cdot W max})}^{\frac{1}{2}}

Go Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity

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

Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities evaluator 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 evaluate 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 evaluate Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities using this online evaluator? To use this online evaluator 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.

FAQs on Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities

What is the formula to find Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities?

The formula of Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities is expressed as 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. Here is an example- 1.129325 = (-0.171*(0.51672)^2+0.27*0.51672-0.047)*((995-1.71)/1.71)^0.5.

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

With Plate Spacing (l_t), Liquid Density (ρ_L) & Vapor Density in Distillation (ρ_V) we can find Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities using the formula - 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.

Can the Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities be negative?

No, the Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities, measured in Speed cannot be negative.

Which unit is used to measure Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities?

Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities can be measured.

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Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities Formula

Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities Example

Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities Solution

Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities Formula Elements

Other formulas in Distillation Tower Design category

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

FAQs on Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities

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