Darcy friction factor for Colburn analogy Calculator

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Internal Flow

Basics of HMT

Conduction

Convection

Convective Mass Transfer

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Flow of Liquids inside Packed Beds

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Laminar Flow

Turbulent Flow

✖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%

✖Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.ⓘ Darcy friction factor for Colburn analogy [df]

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Formula

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Darcy friction factor for Colburn analogy

Formula

`"df" = 8*"St"*"Pr"^0.67`

Example

`"2.519798"=8*"0.4"*("0.7")^0.67`

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Darcy friction factor for Colburn analogy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Darcy Friction Factor = 8*Stanton Number*Prandtl Number^0.67
df = 8*St*Pr^0.67
This formula uses 3 Variables

Variables Used

Darcy Friction Factor - Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.
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

df = 8*St*Pr^0.67 --> 8*0.4*0.7^0.67

Evaluating ... ...

df = 2.51979764165058

STEP 3: Convert Result to Output's Unit

2.51979764165058 --> No Conversion Required

FINAL ANSWER

2.51979764165058 ≈ 2.519798 <-- Darcy Friction Factor

(Calculation completed in 00.004 seconds)

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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

Darcy friction factor for Colburn analogy Formula

Darcy Friction Factor = 8*Stanton Number*Prandtl Number^0.67
df = 8*St*Pr^0.67

What is internal flow

Internal flow is a flow for which the fluid is confined by a surface. Hence the boundary layer is unable to develop without eventually being constrained. The internal flow configuration represents a convenient geometry for heating and cooling fluids used in chemical processing, environmental control, and energy conversion technologies. An example includes flow in a pipe.

How to Calculate Darcy friction factor for Colburn analogy?

Darcy friction factor for Colburn analogy calculator uses Darcy Friction Factor = 8*Stanton Number*Prandtl Number^0.67 to calculate the Darcy Friction Factor, The Darcy friction factor for Colburn analogy formula is defined as a dimensionless quantity used for the description of frictional losses in pipe or duct as well as for open-channel flow. Darcy Friction Factor is denoted by df symbol.

How to calculate Darcy friction factor for Colburn analogy using this online calculator? To use this online calculator for Darcy friction factor for Colburn analogy, enter Stanton Number (St) & Prandtl Number (Pr) and hit the calculate button. Here is how the Darcy friction factor for Colburn analogy calculation can be explained with given input values -> 0.629949 = 8*0.4*0.7^0.67.

FAQ

What is Darcy friction factor for Colburn analogy?

The Darcy friction factor for Colburn analogy formula is defined as a dimensionless quantity used for the description of frictional losses in pipe or duct as well as for open-channel flow and is represented as df = 8*St*Pr^0.67 or Darcy Friction Factor = 8*Stanton Number*Prandtl Number^0.67. 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 Darcy friction factor for Colburn analogy?

The Darcy friction factor for Colburn analogy formula is defined as a dimensionless quantity used for the description of frictional losses in pipe or duct as well as for open-channel flow is calculated using Darcy Friction Factor = 8*Stanton Number*Prandtl Number^0.67. To calculate Darcy friction factor for Colburn analogy, 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.

How many ways are there to calculate Darcy Friction Factor?

In this formula, Darcy Friction Factor uses Stanton Number & Prandtl Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

Darcy Friction Factor = 64/Reynolds Number Dia

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