Colburn's j-factor Calculator

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✖The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.ⓘ Stanton Number [St]			+10% -10%
✖The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.ⓘ Prandtl Number [Pr]			+10% -10%

✖Colburn's j-factor is a non-dimensional parameter that arises in convective heat transfer analysis.ⓘ Colburn's j-factor [j_H]

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Formula

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Colburn's j-factor

Formula

`"j"_{"H"} = "St"*("Pr")^(2/3)`

Example

`"0.315349"="0.4"*("0.7")^(2/3)`

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Colburn's j-factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Colburn's j-factor = Stanton Number*(Prandtl Number)^(2/3)
j_H = St*(Pr)^(2/3)
This formula uses 3 Variables

Variables Used

Colburn's j-factor - Colburn's j-factor is a non-dimensional parameter that arises in convective heat transfer analysis.
Stanton Number - The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.
Prandtl Number - The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

STEP 1: Convert Input(s) to Base Unit

Stanton Number: 0.4 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

j_H = St*(Pr)^(2/3) --> 0.4*(0.7)^(2/3)

Evaluating ... ...

j_H = 0.31534940652421

STEP 3: Convert Result to Output's Unit

0.31534940652421 --> No Conversion Required

FINAL ANSWER

0.31534940652421 ≈ 0.315349 <-- Colburn's j-factor

(Calculation completed in 00.004 seconds)

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

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< 15 Laminar Flow Calculators

Nusselt Number by Sieder-Tate for Shorter Tubes

Go Nusselt Number = ((1.86)*((Reynolds Number)^(1/3))* ((Prandtl Number)^(1/3))* ((Diameter of Tube/Length of Cylinder)^(1/3))* ((Fluid Viscosity (at fluid bulk temperature)/Fluid Viscosity (At pipe wall temperature))^(0.14)))

Nusselt number for hydrodynamic length fully developed and thermal length still developing

Go Nusselt Number = 3.66+((0.0668*(Diameter/Length)*Reynolds Number Dia*Prandtl Number)/(1+0.04*((Diameter/Length)*Reynolds Number Dia*Prandtl Number)^0.67))

Nusselt number for simultaneous development of hydrodynamic and thermal layers

Go Nusselt Number = 3.66+((0.104*(Reynolds Number Dia*Prandtl Number*(Diameter/Length)))/(1+0.16*(Reynolds Number Dia*Prandtl Number*(Diameter/Length))^0.8))

Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids

Go Nusselt Number = 1.86*(((Reynolds Number Dia*Prandtl Number)/(Length/Diameter))^0.333)*(Dynamic Viscosity at Bulk Temperature/Dynamic Viscosity at Wall Temperature)^0.14

Nusselt number for short tube thermal development

Go Nusselt Number = 1.30*((Reynolds Number Dia*Prandtl Number)/(Length/Diameter))^0.333

Nusselt number for short lengths

Go Nusselt Number = 1.67*(Reynolds Number Dia*Prandtl Number*Diameter/Length)^0.333

Diameter of thermal entry tube

Go Diameter = Length/(0.04*Reynolds Number Dia*Prandtl Number)

Thermal entry length

Go Length = 0.04*Reynolds Number Dia*Diameter*Prandtl Number

Stanton number for Colburn analogy

Go Stanton Number = Darcy Friction Factor/(8*(Prandtl Number^0.67))

Darcy friction factor for Colburn analogy

Go Darcy Friction Factor = 8*Stanton Number*Prandtl Number^0.67

Colburn's j-factor

Go Colburn's j-factor = Stanton Number*(Prandtl Number)^(2/3)

Diameter of hydrodynamic entry tube

Go Diameter = Length/(0.04*Reynolds Number Dia)

Hydrodynamic entry length

Go Length = 0.04*Diameter*Reynolds Number Dia

Darcy friction factor

Go Darcy Friction Factor = 64/Reynolds Number Dia

Reynolds Number given Darcy Friction Factor

Go Reynolds Number = 64/Darcy Friction Factor

Colburn's j-factor Formula

Colburn's j-factor = Stanton Number*(Prandtl Number)^(2/3)
j_H = St*(Pr)^(2/3)

What is Colburn's j-factor?

The j-factor or Colburn jH-factor or the Colburn-Chilton j-factor is a dimensionless factor for heat transfer that was first proposed by Prof. Colburn. The primary advantage of the j factor is its use in determining the heat transfer coefficient. It has been extensively used for calculating the heat transfer coefficient in the design & performance prediction of heat exchangers, particularly compact heat exchangers.

How to Calculate Colburn's j-factor?

Colburn's j-factor calculator uses Colburn's j-factor = Stanton Number*(Prandtl Number)^(2/3) to calculate the Colburn's j-factor, Colburn's j-factor formula calculates the j-factor which has been extensively used for calculating the heat transfer coefficient in the design & performance prediction of heat exchangers, particularly compact heat exchangers. Colburn's j-factor is denoted by j_H symbol.

How to calculate Colburn's j-factor using this online calculator? To use this online calculator for Colburn's j-factor, enter Stanton Number (St) & Prandtl Number (Pr) and hit the calculate button. Here is how the Colburn's j-factor calculation can be explained with given input values -> 0.078837 = 0.4*(0.7)^(2/3).

FAQ

What is Colburn's j-factor?

Colburn's j-factor formula calculates the j-factor which has been extensively used for calculating the heat transfer coefficient in the design & performance prediction of heat exchangers, particularly compact heat exchangers and is represented as j_H = St*(Pr)^(2/3) or Colburn's j-factor = Stanton Number*(Prandtl Number)^(2/3). The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid & The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

How to calculate Colburn's j-factor?

Colburn's j-factor formula calculates the j-factor which has been extensively used for calculating the heat transfer coefficient in the design & performance prediction of heat exchangers, particularly compact heat exchangers is calculated using Colburn's j-factor = Stanton Number*(Prandtl Number)^(2/3). To calculate Colburn's j-factor, you need Stanton Number (St) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Stanton Number & Prandtl Number 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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