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Pressure Drop Correlation given Vapor Mass Flux and Packing Factor Formula

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Pressure Drop Correlation Factor is the constant that correlates with gas mass flow rates per unit cross sectional area. Check FAQs

K 4 = \frac{13.1 \cdot ({(V w)}^{2}) \cdot F p \cdot ({(\frac{μ L}{ρ L})}^{0.1})}{(ρ V) \cdot (ρ L - ρ V)}

K₄ - Pressure Drop Correlation Factor?V_w - Gas Mass Flux?F_p - Packing Factor?μ_L - Fluid Viscosity in Packed Column?ρ_L - Liquid Density?ρ_V - Vapor Density in Packed Column?

Pressure Drop Correlation given Vapor Mass Flux and Packing Factor Example

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Here is how the Pressure Drop Correlation given Vapor Mass Flux and Packing Factor equation looks like with Values.

Here is how the Pressure Drop Correlation given Vapor Mass Flux and Packing Factor equation looks like with Units.

Here is how the Pressure Drop Correlation given Vapor Mass Flux and Packing Factor equation looks like.

0.0004 = \frac{13.1 \cdot ({(1.2578)}^{2}) \cdot 0.071 \cdot ({(\frac{1.005}{995})}^{0.1})}{(1.71) \cdot (995 - 1.71)}

0.0004 = \frac{13.1 \cdot ({(1.2578kg/s/m²)}^{2}) \cdot 0.071 \cdot ({(\frac{1.005Pa*s}{995kg/m³})}^{0.1})}{(1.71kg/m³) \cdot (995kg/m³ - 1.71kg/m³)}

0.0004 = \frac{13.1 \cdot ({(1.2578)}^{2}) \cdot 0.071 \cdot ({(\frac{1.005}{995})}^{0.1})}{(1.71) \cdot (995 - 1.71)}

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Pressure Drop Correlation given Vapor Mass Flux and Packing Factor Solution

Follow our step by step solution on how to calculate Pressure Drop Correlation given Vapor Mass Flux and Packing Factor?

FIRST Step Consider the formula

K 4 = \frac{13.1 \cdot ({(V w)}^{2}) \cdot F p \cdot ({(\frac{μ L}{ρ L})}^{0.1})}{(ρ V) \cdot (ρ L - ρ V)}

Next Step Substitute values of Variables

∴

K 4 = \frac{13.1 \cdot ({(1.2578kg/s/m²)}^{2}) \cdot 0.071 \cdot ({(\frac{1.005Pa*s}{995kg/m³})}^{0.1})}{(1.71kg/m³) \cdot (995kg/m³ - 1.71kg/m³)}

Next Step Prepare to Evaluate

∴

K 4 = \frac{13.1 \cdot ({(1.2578)}^{2}) \cdot 0.071 \cdot ({(\frac{1.005}{995})}^{0.1})}{(1.71) \cdot (995 - 1.71)}

Next Step Evaluate

∴

K 4 = 0.000434632157061385

LAST Step Rounding Answer

∴

K 4 = 0.0004

Pressure Drop Correlation given Vapor Mass Flux and Packing Factor Formula Elements

Variables

Pressure Drop Correlation Factor

Pressure Drop Correlation Factor is the constant that correlates with gas mass flow rates per unit cross sectional area.

Symbol: K₄

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Pressure Drop Correlation Factor

Gas Mass Flux

Gas Mass Flux is the mass Flowrate of vapor component per unit cross sectional area of column.

Symbol: V_w

Measurement: Mass FluxUnit: kg/s/m²

Note: Value should be greater than 0.

Formulas to find Gas Mass Flux

Packing Factor

Packing Factor characterizes the efficiency of the packing material used in a column.

Symbol: F_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Packing Factor

Fluid Viscosity in Packed Column

Fluid Viscosity in Packed Column is a fundamental property of fluids that characterizes their resistance to flow. It is defined at the bulk temperature of the fluid.

Symbol: μ_L

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

Formulas to find Fluid Viscosity in Packed Column

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 Packed Column

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

Symbol: ρ_V

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Vapor Density in Packed Column

Other formulas in Packed Column Designing category

Go Effective Interfacial Area of Packing using Onda's Method

a W = a \cdot (1 - \exp ((- 1.45 \cdot ({(\frac{σ c}{σ L})}^{0.75}) \cdot {(\frac{L W}{a \cdot μ L})}^{0.1}) \cdot {(\frac{{(L W)}^{2} \cdot a}{{(ρ L)}^{2} \cdot [g]})}^{- 0.05}) \cdot {(\frac{{L W}^{2}}{ρ L \cdot a \cdot σ L})}^{0.2})

Go Height of Overall Gas Phase Transfer Unit in Packed Column

H OG = \frac{G m}{K G \cdot a \cdot P}

Go Liquid Mass Film Coefficient in Packed Columns

K L = 0.0051 \cdot ({(L W \cdot \frac{V P}{a W \cdot μ L})}^{\frac{2}{3}}) \cdot ({(\frac{μ L}{ρ L \cdot D c})}^{- \frac{1}{2}}) \cdot ({(a \cdot \frac{d p}{V P})}^{0.4}) \cdot {(\frac{μ L \cdot [g]}{ρ L})}^{\frac{1}{3}}

Go Log Mean Driving Force Based on Mole Fraction

Δy lm = \frac{y 1 - y 2}{\ln (\frac{y 1 - y e}{y 2 - y e})}

How to Evaluate Pressure Drop Correlation given Vapor Mass Flux and Packing Factor?

Pressure Drop Correlation given Vapor Mass Flux and Packing Factor evaluator uses Pressure Drop Correlation Factor = (13.1*((Gas Mass Flux)^2)*Packing Factor*((Fluid Viscosity in Packed Column/Liquid Density)^0.1))/((Vapor Density in Packed Column)*(Liquid Density-Vapor Density in Packed Column)) to evaluate the Pressure Drop Correlation Factor, The Pressure Drop Correlation given Vapor Mass Flux and Packing Factor formula represents the characteristics of the packing material used in the column or bed. It includes parameters like the type of packing, size, shape, and surface area. Pressure Drop Correlation Factor is denoted by K₄ symbol.

How to evaluate Pressure Drop Correlation given Vapor Mass Flux and Packing Factor using this online evaluator? To use this online evaluator for Pressure Drop Correlation given Vapor Mass Flux and Packing Factor, enter Gas Mass Flux (V_w), Packing Factor (F_p), Fluid Viscosity in Packed Column (μ_L), Liquid Density (ρ_L) & Vapor Density in Packed Column (ρ_V) and hit the calculate button.

FAQs on Pressure Drop Correlation given Vapor Mass Flux and Packing Factor

What is the formula to find Pressure Drop Correlation given Vapor Mass Flux and Packing Factor?

The formula of Pressure Drop Correlation given Vapor Mass Flux and Packing Factor is expressed as Pressure Drop Correlation Factor = (13.1*((Gas Mass Flux)^2)*Packing Factor*((Fluid Viscosity in Packed Column/Liquid Density)^0.1))/((Vapor Density in Packed Column)*(Liquid Density-Vapor Density in Packed Column)). Here is an example- 0.000435 = (13.1*((1.25781)^2)*0.071*((1.005/995)^0.1))/((1.71)*(995-1.71)).

How to calculate Pressure Drop Correlation given Vapor Mass Flux and Packing Factor?

With Gas Mass Flux (V_w), Packing Factor (F_p), Fluid Viscosity in Packed Column (μ_L), Liquid Density (ρ_L) & Vapor Density in Packed Column (ρ_V) we can find Pressure Drop Correlation given Vapor Mass Flux and Packing Factor using the formula - Pressure Drop Correlation Factor = (13.1*((Gas Mass Flux)^2)*Packing Factor*((Fluid Viscosity in Packed Column/Liquid Density)^0.1))/((Vapor Density in Packed Column)*(Liquid Density-Vapor Density in Packed Column)).

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Pressure Drop Correlation given Vapor Mass Flux and Packing Factor Formula

Pressure Drop Correlation given Vapor Mass Flux and Packing Factor Example

Pressure Drop Correlation given Vapor Mass Flux and Packing Factor Solution

Pressure Drop Correlation given Vapor Mass Flux and Packing Factor Formula Elements

Other formulas in Packed Column Designing category

How to Evaluate Pressure Drop Correlation given Vapor Mass Flux and Packing Factor?

FAQs on Pressure Drop Correlation given Vapor Mass Flux and Packing Factor

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