Stanton number for Colburn analogy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stanton Number = Darcy Friction Factor/(8*(Prandtl Number^0.67))
St = df/(8*(Pr^0.67))
This formula uses 3 Variables
Variables Used
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.
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.
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
Darcy Friction Factor: 0.5 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
St = df/(8*(Pr^0.67)) --> 0.5/(8*(0.7^0.67))
Evaluating ... ...
St = 0.0793714529667513
STEP 3: Convert Result to Output's Unit
0.0793714529667513 --> No Conversion Required
FINAL ANSWER
0.0793714529667513 0.079371 <-- Stanton Number
(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

Stanton number for Colburn analogy Formula

Stanton Number = Darcy Friction Factor/(8*(Prandtl Number^0.67))
St = df/(8*(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 Stanton number for Colburn analogy?

Stanton number for Colburn analogy calculator uses Stanton Number = Darcy Friction Factor/(8*(Prandtl Number^0.67)) to calculate the Stanton Number, The Stanton number for Colburn analogy formula is defined as the ratio of heat transferred into a fluid to the thermal capacity of fluid. Stanton Number is denoted by St symbol.

How to calculate Stanton number for Colburn analogy using this online calculator? To use this online calculator for Stanton number for Colburn analogy, enter Darcy Friction Factor (df) & Prandtl Number (Pr) and hit the calculate button. Here is how the Stanton number for Colburn analogy calculation can be explained with given input values -> 0.079371 = 0.5/(8*(0.7^0.67)).

FAQ

What is Stanton number for Colburn analogy?
The Stanton number for Colburn analogy formula is defined as the ratio of heat transferred into a fluid to the thermal capacity of fluid and is represented as St = df/(8*(Pr^0.67)) or Stanton Number = Darcy Friction Factor/(8*(Prandtl Number^0.67)). 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 & 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 Stanton number for Colburn analogy?
The Stanton number for Colburn analogy formula is defined as the ratio of heat transferred into a fluid to the thermal capacity of fluid is calculated using Stanton Number = Darcy Friction Factor/(8*(Prandtl Number^0.67)). To calculate Stanton number for Colburn analogy, you need Darcy Friction Factor (df) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Darcy Friction Factor & 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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