Prandtl Number using Diffusivities Calculator

✖Momentum Diffusivity most commonly refers to the diffusion, or spread of momentum between particles (atoms or molecules) of matter, often in the fluid state.ⓘ Momentum Diffusivity [𝜈]			+10% -10%
✖Thermal diffusivity is the thermal conductivity divided by density and specific heat capacity at constant pressure.ⓘ Thermal Diffusivity [α]			+10% -10%

✖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 using Diffusivities [Pr]

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Prandtl Number using Diffusivities Solution

STEP 0: Pre-Calculation Summary

Formula Used

Prandtl Number = Momentum Diffusivity/Thermal Diffusivity
Pr = 𝜈/α
This formula uses 3 Variables

Variables Used

Prandtl Number - 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.
Momentum Diffusivity - (Measured in Square Meter Per Second) - Momentum Diffusivity most commonly refers to the diffusion, or spread of momentum between particles (atoms or molecules) of matter, often in the fluid state.
Thermal Diffusivity - (Measured in Square Meter Per Second) - Thermal diffusivity is the thermal conductivity divided by density and specific heat capacity at constant pressure.

STEP 1: Convert Input(s) to Base Unit

Momentum Diffusivity: 4 Square Meter Per Second --> 4 Square Meter Per Second No Conversion Required
Thermal Diffusivity: 5.58 Square Meter Per Second --> 5.58 Square Meter Per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Pr = 𝜈/α --> 4/5.58

Evaluating ... ...

Pr = 0.716845878136201

STEP 3: Convert Result to Output's Unit

0.716845878136201 --> No Conversion Required

FINAL ANSWER

0.716845878136201 ≈ 0.716846 <-- Prandtl Number

(Calculation completed in 00.004 seconds)

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< Co Relation of Dimensionless Numbers Calculators

Nusselt Number for Transitional and Rough Flow in Circular Tube

LaTeX Go Nusselt Number = (Darcy Friction Factor/8)*(Reynolds Number-1000)*Prandtl Number/(1+12.7*((Darcy Friction Factor/8)^(0.5))*((Prandtl Number)^(2/3)-1))

Reynolds Number for Non-Circular Tubes

LaTeX Go Reynolds Number = Density*Fluid Velocity*Characteristic Length/Dynamic Viscosity

Reynolds Number for Circular Tubes

LaTeX Go Reynolds Number = Density*Fluid Velocity*Diameter of Tube/Dynamic Viscosity

Prandtl Number

LaTeX Go Prandtl Number = Specific Heat Capacity*Dynamic Viscosity/Thermal Conductivity

Prandtl Number using Diffusivities Formula

LaTeX Go

Prandtl Number = Momentum Diffusivity/Thermal Diffusivity
Pr = 𝜈/α

What is the 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.

How to Calculate Prandtl Number using Diffusivities?

Prandtl Number using Diffusivities calculator uses Prandtl Number = Momentum Diffusivity/Thermal Diffusivity to calculate the Prandtl Number, The Prandtl number using diffusivities, 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 is denoted by Pr symbol.

How to calculate Prandtl Number using Diffusivities using this online calculator? To use this online calculator for Prandtl Number using Diffusivities, enter Momentum Diffusivity (𝜈) & Thermal Diffusivity (α) and hit the calculate button. Here is how the Prandtl Number using Diffusivities calculation can be explained with given input values -> 0.716846 = 4/5.58.

FAQ

What is Prandtl Number using Diffusivities?

The Prandtl number using diffusivities, or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity and is represented as Pr = 𝜈/α or Prandtl Number = Momentum Diffusivity/Thermal Diffusivity. Momentum Diffusivity most commonly refers to the diffusion, or spread of momentum between particles (atoms or molecules) of matter, often in the fluid state & Thermal diffusivity is the thermal conductivity divided by density and specific heat capacity at constant pressure.

How to calculate Prandtl Number using Diffusivities?

The Prandtl number using diffusivities, or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity is calculated using Prandtl Number = Momentum Diffusivity/Thermal Diffusivity. To calculate Prandtl Number using Diffusivities, you need Momentum Diffusivity (𝜈) & Thermal Diffusivity (α). With our tool, you need to enter the respective value for Momentum Diffusivity & Thermal Diffusivity 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 Momentum Diffusivity & Thermal Diffusivity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Prandtl Number = Specific Heat Capacity*Dynamic Viscosity/Thermal Conductivity

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