Prandtl number given Stanton number and other dimensionless groups Solution

STEP 0: Pre-Calculation Summary
Formula Used
Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number)
Pr = Nu/(St*Re)
This formula uses 4 Variables
Variables Used
Prandtl Number - Prandtl Number or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.
Nusselt Number - The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion.
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.
Reynolds Number - Reynolds Number is a dimensionless number used in fluid mechanics to indicate whether fluid flow past a body or in a duct is steady or turbulent.
STEP 1: Convert Input(s) to Base Unit
Nusselt Number: 4 --> No Conversion Required
Stanton Number: 0.001142 --> No Conversion Required
Reynolds Number: 5000 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pr = Nu/(St*Re) --> 4/(0.001142*5000)
Evaluating ... ...
Pr = 0.700525394045534
STEP 3: Convert Result to Output's Unit
0.700525394045534 --> No Conversion Required
FINAL ANSWER
0.700525394045534 0.700525 <-- Prandtl Number
(Calculation completed in 00.004 seconds)

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Prandtl and Peclet Number Calculators

Prandtl number given Stanton number and other dimensionless groups
​ LaTeX ​ Go Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number)
Prandtl number in convection
​ LaTeX ​ Go Prandtl Number = Molecular Diffusivity of Momentum/Molecular Diffusivity of Heat
Prandtl number given Rayleigh number
​ LaTeX ​ Go Prandtl Number = Rayleigh Number/Grashof Number
Peclet number given Reynolds number
​ LaTeX ​ Go Peclet Number = Reynolds Number*Prandtl Number

Prandtl number given Stanton number and other dimensionless groups Formula

​LaTeX ​Go
Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number)
Pr = Nu/(St*Re)

What is convection?

Convection is the process of heat transfer by the bulk movement of molecules within fluids such as gases and liquids. The initial heat transfer between the object and the fluid takes place through conduction, but the bulk heat transfer happens due to the motion of the fluid.

How to Calculate Prandtl number given Stanton number and other dimensionless groups?

Prandtl number given Stanton number and other dimensionless groups calculator uses Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number) to calculate the Prandtl Number, The Prandtl number given Stanton number and other dimensionless groups formula is defined as a dimensionless number approximating the ratio of momentum diffusivity to thermal diffusivity. Prandtl Number is denoted by Pr symbol.

How to calculate Prandtl number given Stanton number and other dimensionless groups using this online calculator? To use this online calculator for Prandtl number given Stanton number and other dimensionless groups, enter Nusselt Number (Nu), Stanton Number (St) & Reynolds Number (Re) and hit the calculate button. Here is how the Prandtl number given Stanton number and other dimensionless groups calculation can be explained with given input values -> 0.700525 = 4/(0.001142*5000).

FAQ

What is Prandtl number given Stanton number and other dimensionless groups?
The Prandtl number given Stanton number and other dimensionless groups formula is defined as a dimensionless number approximating the ratio of momentum diffusivity to thermal diffusivity and is represented as Pr = Nu/(St*Re) or Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number). The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion, The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid & Reynolds Number is a dimensionless number used in fluid mechanics to indicate whether fluid flow past a body or in a duct is steady or turbulent.
How to calculate Prandtl number given Stanton number and other dimensionless groups?
The Prandtl number given Stanton number and other dimensionless groups formula is defined as a dimensionless number approximating the ratio of momentum diffusivity to thermal diffusivity is calculated using Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number). To calculate Prandtl number given Stanton number and other dimensionless groups, you need Nusselt Number (Nu), Stanton Number (St) & Reynolds Number (Re). With our tool, you need to enter the respective value for Nusselt Number, Stanton Number & Reynolds 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 Prandtl Number?
In this formula, Prandtl Number uses Nusselt Number, Stanton Number & Reynolds Number. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Prandtl Number = Molecular Diffusivity of Momentum/Molecular Diffusivity of Heat
  • Prandtl Number = Rayleigh Number/Grashof Number
  • Prandtl Number = Peclet Number/Reynolds Number
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