Prandtl number given Graetz numbber Calculator

✖Graetz number is used in determining the thermally developing flow entrance length in ducts.ⓘ Graetz Number [Gr]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖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.ⓘ Reynolds Number [Re]			+10% -10%
✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [D]			+10% -10%

✖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.ⓘ Prandtl number given Graetz numbber [Pr]

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Prandtl number given Graetz numbber Solution

STEP 0: Pre-Calculation Summary

Formula Used

Prandtl Number = Graetz Number*Length/(Reynolds Number*Diameter)
Pr = Gr*L/(Re*D)
This formula uses 5 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.
Graetz Number - Graetz number is used in determining the thermally developing flow entrance length in ducts.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
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.
Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

STEP 1: Convert Input(s) to Base Unit

Graetz Number: 800 --> No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Reynolds Number: 5000 --> No Conversion Required
Diameter: 0.685714 Meter --> 0.685714 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Pr = Gr*L/(Re*D) --> 800*3/(5000*0.685714)

Evaluating ... ...

Pr = 0.700000291666788

STEP 3: Convert Result to Output's Unit

0.700000291666788 --> No Conversion Required

FINAL ANSWER

0.700000291666788 ≈ 0.7 <-- 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 Graetz numbber Formula

LaTeX Go

Prandtl Number = Graetz Number*Length/(Reynolds Number*Diameter)
Pr = Gr*L/(Re*D)

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.

Convection is the process of heat transfer in fluids by the actual motion of matter.
It happens in liquids and gases.
It may be natural or forced.
It involves a bulk transfer of portions of the fluid.

How to Calculate Prandtl number given Graetz numbber?

Prandtl number given Graetz numbber calculator uses Prandtl Number = Graetz Number*Length/(Reynolds Number*Diameter) to calculate 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 calculate Prandtl number given Graetz numbber using this online calculator? To use this online calculator for Prandtl number given Graetz numbber, enter Graetz Number (Gr), Length (L), Reynolds Number (Re) & Diameter (D) and hit the calculate button. Here is how the Prandtl number given Graetz numbber calculation can be explained with given input values -> 0.048 = 800*3/(5000*0.685714).

FAQ

What is Prandtl number given Graetz numbber?

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 and is represented as Pr = Gr*L/(Re*D) or Prandtl Number = Graetz Number*Length/(Reynolds Number*Diameter). Graetz number is used in determining the thermally developing flow entrance length in ducts, Length is the measurement or extent of something from end to end, 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 & Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

How to calculate Prandtl number given Graetz numbber?

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 is calculated using Prandtl Number = Graetz Number*Length/(Reynolds Number*Diameter). To calculate Prandtl number given Graetz numbber, you need Graetz Number (Gr), Length (L), Reynolds Number (Re) & Diameter (D). With our tool, you need to enter the respective value for Graetz Number, Length, Reynolds Number & Diameter 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 Graetz Number, Length, Reynolds Number & Diameter. 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 = Nusselt Number/(Stanton Number*Reynolds Number)
Prandtl Number = Rayleigh Number/Grashof Number

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