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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. Check FAQs
Pr=GrLReD
Pr - Prandtl Number?Gr - Graetz Number?L - Length?Re - Reynolds Number?D - Diameter?

Prandtl number given Graetz numbber Example

With values
With units
Only example

Here is how the Prandtl number given Graetz numbber equation looks like with Values.

Here is how the Prandtl number given Graetz numbber equation looks like with Units.

Here is how the Prandtl number given Graetz numbber equation looks like.

0.7Edit=800Edit3Edit5000Edit0.6857Edit
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Prandtl number given Graetz numbber Solution

Follow our step by step solution on how to calculate Prandtl number given Graetz numbber?

FIRST Step Consider the formula
Pr=GrLReD
Next Step Substitute values of Variables
Pr=8003m50000.6857m
Next Step Prepare to Evaluate
Pr=800350000.6857
Next Step Evaluate
Pr=0.700000291666788
LAST Step Rounding Answer
Pr=0.7

Prandtl number given Graetz numbber Formula Elements

Variables
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.
Symbol: Pr
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Graetz Number
Graetz number is used in determining the thermally developing flow entrance length in ducts.
Symbol: Gr
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Length
Length is the measurement or extent of something from end to end.
Symbol: L
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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.
Symbol: Re
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Diameter
Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Symbol: D
Measurement: LengthUnit: m
Note: Value should be greater than 0.

Other Formulas to find Prandtl Number

​Go Prandtl number in convection
Pr=DmMdh
​Go Prandtl number given Stanton number and other dimensionless groups
Pr=NuStRe
​Go Prandtl number given Rayleigh number
Pr=RaG
​Go Prandtl number given Peclet number
Pr=PeRe

Other formulas in Prandtl and Peclet Number category

​Go Peclet number given Reynolds number
Pe=RePr
​Go Turbulent Prandtl Number
Prt=εMεH
​Go Modified Prandtl number given Bingham number
Pr'=Pr(1+Bn)
​Go Peclet Number given Schmidt Number
Pe=(ReSc)

How to Evaluate Prandtl number given Graetz numbber?

Prandtl number given Graetz numbber evaluator uses Prandtl Number = Graetz Number*Length/(Reynolds Number*Diameter) to evaluate the Prandtl Number, Prandtl number given Graetz numbber is a dimensionless number that characterizes the relative thickness of the velocity boundary layer to the thermal boundary layer in a fluid flow. It is a key parameter in fluid dynamics and heat transfer, particularly in the analysis of convective heat transfer processes. Prandtl Number is denoted by Pr symbol.

How to evaluate Prandtl number given Graetz numbber using this online evaluator? To use this online evaluator for Prandtl number given Graetz numbber, enter Graetz Number (Gr), Length (L), Reynolds Number (Re) & Diameter (D) and hit the calculate button.

FAQs on Prandtl number given Graetz numbber

What is the formula to find Prandtl number given Graetz numbber?
The formula of Prandtl number given Graetz numbber is expressed as Prandtl Number = Graetz Number*Length/(Reynolds Number*Diameter). Here is an example- 0.048 = 800*3/(5000*0.685714).
How to calculate Prandtl number given Graetz numbber?
With Graetz Number (Gr), Length (L), Reynolds Number (Re) & Diameter (D) we can find Prandtl number given Graetz numbber using the formula - Prandtl Number = Graetz Number*Length/(Reynolds Number*Diameter).
What are the other ways to Calculate Prandtl Number?
Here are the different ways to Calculate Prandtl Number-
  • Prandtl Number=Molecular Diffusivity of Momentum/Molecular Diffusivity of HeatOpenImg
  • Prandtl Number=Nusselt Number/(Stanton Number*Reynolds Number)OpenImg
  • Prandtl Number=Rayleigh Number/Grashof NumberOpenImg
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