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Liquid Mass Film Coefficient in Packed Columns Formula

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Liquid Phase Mass Transfer Coefficient quantifies the effectiveness of the mass transfer process. Check FAQs

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}}

K_L - Liquid Phase Mass Transfer Coefficient?L_W - Liquid Mass Flux?V_P - Packing Volume?a_W - Effective Interfacial Area?μ_L - Fluid Viscosity in Packed Column?ρ_L - Liquid Density?D_c - Column Diameter of Packed Column?a - Interfacial Area per Volume?d_p - Packing Size?[g] - Gravitational acceleration on Earth?

Liquid Mass Film Coefficient in Packed Columns Example

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Here is how the Liquid Mass Film Coefficient in Packed Columns equation looks like with Values.

Here is how the Liquid Mass Film Coefficient in Packed Columns equation looks like with Units.

Here is how the Liquid Mass Film Coefficient in Packed Columns equation looks like.

0.023 = 0.0051 \cdot ({(1.4785 \cdot \frac{3.0322}{0.1758 \cdot 1.005})}^{\frac{2}{3}}) \cdot ({(\frac{1.005}{995 \cdot 0.6215})}^{- \frac{1}{2}}) \cdot ({(0.1788 \cdot \frac{0.051}{3.0322})}^{0.4}) \cdot {(\frac{1.005 \cdot 9.8066}{995})}^{\frac{1}{3}}

0.023m/s = 0.0051 \cdot ({(1.4785kg/s/m² \cdot \frac{3.0322m³}{0.1758m² \cdot 1.005Pa*s})}^{\frac{2}{3}}) \cdot ({(\frac{1.005Pa*s}{995kg/m³ \cdot 0.6215m})}^{- \frac{1}{2}}) \cdot ({(0.1788m² \cdot \frac{0.051m}{3.0322m³})}^{0.4}) \cdot {(\frac{1.005Pa*s \cdot 9.8066m/s²}{995kg/m³})}^{\frac{1}{3}}

0.023 = 0.0051 \cdot ({(1.4785 \cdot \frac{3.0322}{0.1758 \cdot 1.005})}^{\frac{2}{3}}) \cdot ({(\frac{1.005}{995 \cdot 0.6215})}^{- \frac{1}{2}}) \cdot ({(0.1788 \cdot \frac{0.051}{3.0322})}^{0.4}) \cdot {(\frac{1.005 \cdot 9.8066}{995})}^{\frac{1}{3}}

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Liquid Mass Film Coefficient in Packed Columns Solution

Follow our step by step solution on how to calculate Liquid Mass Film Coefficient in Packed Columns?

FIRST Step Consider the formula

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}}

Next Step Substitute values of Variables

∴

K L = 0.0051 \cdot ({(1.4785kg/s/m² \cdot \frac{3.0322m³}{0.1758m² \cdot 1.005Pa*s})}^{\frac{2}{3}}) \cdot ({(\frac{1.005Pa*s}{995kg/m³ \cdot 0.6215m})}^{- \frac{1}{2}}) \cdot ({(0.1788m² \cdot \frac{0.051m}{3.0322m³})}^{0.4}) \cdot {(\frac{1.005Pa*s \cdot [g]}{995kg/m³})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

K L = 0.0051 \cdot ({(1.4785kg/s/m² \cdot \frac{3.0322m³}{0.1758m² \cdot 1.005Pa*s})}^{\frac{2}{3}}) \cdot ({(\frac{1.005Pa*s}{995kg/m³ \cdot 0.6215m})}^{- \frac{1}{2}}) \cdot ({(0.1788m² \cdot \frac{0.051m}{3.0322m³})}^{0.4}) \cdot {(\frac{1.005Pa*s \cdot 9.8066m/s²}{995kg/m³})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

K L = 0.0051 \cdot ({(1.4785 \cdot \frac{3.0322}{0.1758 \cdot 1.005})}^{\frac{2}{3}}) \cdot ({(\frac{1.005}{995 \cdot 0.6215})}^{- \frac{1}{2}}) \cdot ({(0.1788 \cdot \frac{0.051}{3.0322})}^{0.4}) \cdot {(\frac{1.005 \cdot 9.8066}{995})}^{\frac{1}{3}}

Next Step Evaluate

∴

K L = 0.02299361181629m/s

LAST Step Rounding Answer

∴

K L = 0.023m/s

Liquid Mass Film Coefficient in Packed Columns Formula Elements

Variables

Constants

Liquid Phase Mass Transfer Coefficient

Liquid Phase Mass Transfer Coefficient quantifies the effectiveness of the mass transfer process.

Symbol: K_L

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Liquid Phase Mass Transfer Coefficient

Liquid Mass Flux

Liquid Mass Flux is a measure of how much mass of liquid passes through a particular point in a given amount of time.

Symbol: L_W

Measurement: Mass FluxUnit: kg/s/m²

Note: Value should be greater than 0.

Formulas to find Liquid Mass Flux

Packing Volume

Packing Volume is defined as the volume occupied by the packing material in a column.

Symbol: V_P

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Packing Volume

Effective Interfacial Area

Effective Interfacial Area represents the total interfacial area per unit volume within a multiphase system.

Symbol: a_W

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Effective Interfacial Area

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

Column Diameter of Packed Column

Column Diameter of Packed Column refers to the diameter of the column wherein the mass transfer or any other unit operations takes place.

Symbol: D_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Column Diameter of Packed Column

Interfacial Area per Volume

Interfacial Area per Volume refers to the surface area of the interface between the two phases (usually a liquid and a gas) per unit volume of the packing material.

Symbol: a

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Interfacial Area per Volume

Packing Size

Packing Size refers to the dimensions and characteristics of the packing material or column internals.

Symbol: d_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Packing Size

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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}

How to Evaluate Liquid Mass Film Coefficient in Packed Columns?

Liquid Mass Film Coefficient in Packed Columns evaluator uses Liquid Phase Mass Transfer Coefficient = 0.0051*((Liquid Mass Flux*Packing Volume/(Effective Interfacial Area*Fluid Viscosity in Packed Column))^(2/3))*((Fluid Viscosity in Packed Column/(Liquid Density*Column Diameter of Packed Column))^(-1/2))*((Interfacial Area per Volume*Packing Size/Packing Volume)^0.4)*((Fluid Viscosity in Packed Column*[g])/Liquid Density)^(1/3) to evaluate the Liquid Phase Mass Transfer Coefficient, The Liquid Mass Film Coefficient in Packed Columns formula is defined as the rate of mass transfer per unit area and per unit concentration difference between the bulk liquid phase and the surface or interface where the transfer occurs. Liquid Phase Mass Transfer Coefficient is denoted by K_L symbol.

How to evaluate Liquid Mass Film Coefficient in Packed Columns using this online evaluator? To use this online evaluator for Liquid Mass Film Coefficient in Packed Columns, enter Liquid Mass Flux (L_W), Packing Volume (V_P), Effective Interfacial Area (a_W), Fluid Viscosity in Packed Column (μ_L), Liquid Density (ρ_L), Column Diameter of Packed Column (D_c), Interfacial Area per Volume (a) & Packing Size (d_p) and hit the calculate button.

FAQs on Liquid Mass Film Coefficient in Packed Columns

What is the formula to find Liquid Mass Film Coefficient in Packed Columns?

The formula of Liquid Mass Film Coefficient in Packed Columns is expressed as Liquid Phase Mass Transfer Coefficient = 0.0051*((Liquid Mass Flux*Packing Volume/(Effective Interfacial Area*Fluid Viscosity in Packed Column))^(2/3))*((Fluid Viscosity in Packed Column/(Liquid Density*Column Diameter of Packed Column))^(-1/2))*((Interfacial Area per Volume*Packing Size/Packing Volume)^0.4)*((Fluid Viscosity in Packed Column*[g])/Liquid Density)^(1/3). Here is an example- 0.022994 = 0.0051*((1.4785*3.03215/(0.175804925321227*1.005))^(2/3))*((1.005/(995*0.6215))^(-1/2))*((0.1788089*0.051/3.03215)^0.4)*((1.005*[g])/995)^(1/3).

How to calculate Liquid Mass Film Coefficient in Packed Columns?

With Liquid Mass Flux (L_W), Packing Volume (V_P), Effective Interfacial Area (a_W), Fluid Viscosity in Packed Column (μ_L), Liquid Density (ρ_L), Column Diameter of Packed Column (D_c), Interfacial Area per Volume (a) & Packing Size (d_p) we can find Liquid Mass Film Coefficient in Packed Columns using the formula - Liquid Phase Mass Transfer Coefficient = 0.0051*((Liquid Mass Flux*Packing Volume/(Effective Interfacial Area*Fluid Viscosity in Packed Column))^(2/3))*((Fluid Viscosity in Packed Column/(Liquid Density*Column Diameter of Packed Column))^(-1/2))*((Interfacial Area per Volume*Packing Size/Packing Volume)^0.4)*((Fluid Viscosity in Packed Column*[g])/Liquid Density)^(1/3). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Liquid Mass Film Coefficient in Packed Columns be negative?

No, the Liquid Mass Film Coefficient in Packed Columns, measured in Speed cannot be negative.

Which unit is used to measure Liquid Mass Film Coefficient in Packed Columns?

Liquid Mass Film Coefficient in Packed Columns 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 Liquid Mass Film Coefficient in Packed Columns can be measured.

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Liquid Mass Film Coefficient in Packed Columns Formula

Liquid Mass Film Coefficient in Packed Columns Example

Liquid Mass Film Coefficient in Packed Columns Solution

Liquid Mass Film Coefficient in Packed Columns Formula Elements

Other formulas in Packed Column Designing category

How to Evaluate Liquid Mass Film Coefficient in Packed Columns?

FAQs on Liquid Mass Film Coefficient in Packed Columns

Variable Name