Friction factor for rough tube 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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Turbulent Flow

Laminar 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%

✖The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.ⓘ Friction factor for rough tube Colburn analogy [f]

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Formula

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Friction factor for rough tube Colburn analogy

Formula

`"f" = 8*"St"*("Pr"^0.67)`

Example

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

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Friction factor for rough tube Colburn analogy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Friction Factor = 8*Stanton Number*(Prandtl Number^0.67)
f = 8*St*(Pr^0.67)
This formula uses 3 Variables

Variables Used

Friction Factor - The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.
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

f = 8*St*(Pr^0.67) --> 8*0.4*(0.7^0.67)

Evaluating ... ...

f = 2.51979764165058

STEP 3: Convert Result to Output's Unit

2.51979764165058 --> No Conversion Required

FINAL ANSWER

2.51979764165058 ≈ 2.519798 <-- Friction Factor

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Internal Flow » Flow inside tubes » Turbulent Flow » Friction factor for rough tube Colburn analogy

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< 14 Turbulent Flow Calculators

Nusselt number for Smooth tubes

Go Nusselt Number = 0.027*(Reynolds Number Dia^0.8)*(Prandtl Number^0.333)*(Dynamic Viscosity at Mean Temperature/Dynamic Viscosity at Wall Temperature)^0.14

Nusselt Number given viscosity of fluid

Go Nusselt Number = ((0.027)*((Reynolds Number)^(0.8)))*((Prandtl Number)^(1/3))*((Average Viscosity of Fluid/Wall Viscosity)^(0.14))

Friction factor for rough tubes

Go Friction Factor = 1.325/((ln((Surface Roughness/3.7*Diameter)+(5.74/(Reynolds Number^0.9))))^2)

Nusselt number at entrance region

Go Nusselt Number = 0.036*(Reynolds Number Dia^0.8)*(Prandtl Number^0.33)*(Diameter/Length)^0.055

Nusselt number for short pipes

Go Nusselt Number for Short Pipes = Nusselt Number*(1+(Constant a/(Length/Diameter)))

Nusselt number for constant heat flux

Go Nusselt Number = 4.82+0.0185*(Reynolds Number Dia*Prandtl Number)^0.827

Nusselt number for liquid metals at constant wall temperature

Go Nusselt Number = 5+0.025*(Reynolds Number Dia*Prandtl Number)^0.8

Friction factor for Re greater than 2300

Go Friction Factor = 0.25*(1.82*log10(Reynolds Number Dia)-1.64)^-2

Nusselt number for smooth tubes and fully developed flow

Go Nusselt Number = 0.625*(Reynolds Number Dia*Prandtl Number)^0.4

Stanton number at bulk temperature

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

Friction factor for rough tube Colburn analogy

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

Friction factor for Re greater than 10000

Go Friction Factor = 0.184*Reynolds Number Dia^(-0.2)

Friction factor for transitional turbulent flow

Go Friction Factor = 0.316*Reynolds Number Dia^-0.25

Nusselt number for thermal entry region

Go Nusselt Number = 3.0*Reynolds Number Dia^0.0833

Friction factor for rough tube Colburn analogy Formula

Friction Factor = 8*Stanton Number*(Prandtl Number^0.67)
f = 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 Friction factor for rough tube Colburn analogy?

Friction factor for rough tube Colburn analogy calculator uses Friction Factor = 8*Stanton Number*(Prandtl Number^0.67) to calculate the Friction Factor, The Friction factor for rough tube Colburn analogy formula is defined as the loss of pressure of a fluid in a pipe due to the interactions in between the fluid and the pipe. . Friction Factor is denoted by f symbol.

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

FAQ

What is Friction factor for rough tube Colburn analogy?

The Friction factor for rough tube Colburn analogy formula is defined as the loss of pressure of a fluid in a pipe due to the interactions in between the fluid and the pipe. and is represented as f = 8*St*(Pr^0.67) or 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 Friction factor for rough tube Colburn analogy?

The Friction factor for rough tube Colburn analogy formula is defined as the loss of pressure of a fluid in a pipe due to the interactions in between the fluid and the pipe. is calculated using Friction Factor = 8*Stanton Number*(Prandtl Number^0.67). To calculate Friction factor for rough tube 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 Friction Factor?

In this formula, Friction Factor uses Stanton Number & Prandtl Number. We can use 4 other way(s) to calculate the same, which is/are as follows -

Friction Factor = 0.25*(1.82*log10(Reynolds Number Dia)-1.64)^-2
Friction Factor = 0.184*Reynolds Number Dia^(-0.2)
Friction Factor = 1.325/((ln((Surface Roughness/3.7*Diameter)+(5.74/(Reynolds Number^0.9))))^2)
Friction Factor = 0.316*Reynolds Number Dia^-0.25

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