## 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
0.716845878136201 0.716846 <-- Prandtl Number
(Calculation completed in 00.004 seconds)
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Created by Ishan Gupta
Birla Institute of Technology & Science (BITS), Pilani
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## < 11 Co-Relation of Dimensionless Numbers Calculators

Nusselt Number for Transitional and Rough Flow in Circular Tube
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))
Stanton Number using Basic Fluid Properties
Stanton Number = External Convection Heat Transfer Coefficient/(Specific Heat Capacity*Fluid Velocity*Density)
Reynolds Number for Non-Circular Tubes
Reynolds Number = Density*Fluid Velocity*Characteristic Length/Dynamic Viscosity
Reynolds Number for Circular Tubes
Reynolds Number = Density*Fluid Velocity*Diameter of Tube/Dynamic Viscosity
Fourier Number
Fourier Number = (Thermal Diffusivity*Characteristic Time)/(Characteristic Dimension^2)
Prandtl Number
Prandtl Number = Specific Heat Capacity*Dynamic Viscosity/Thermal Conductivity
Stanton Number using Dimensionless Numbers
Stanton Number = Nusselt Number/(Reynolds Number*Prandtl Number)
Stanton Number given Fanning Friction Factor
Stanton Number = (Fanning Friction Factor/2)/(Prandtl Number)^(2/3)
Nusselt Number using Dittus Boelter Equation for Cooling
Nusselt Number = 0.023*(Reynolds Number)^0.8*(Prandtl Number)^0.3
Nusselt Number using Dittus Boelter Equation for Heating
Nusselt Number = 0.023*(Reynolds Number)^0.8*(Prandtl Number)^0.4
Prandtl Number using Diffusivities
Prandtl Number = Momentum Diffusivity/Thermal Diffusivity

## Prandtl Number using Diffusivities Formula

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 -> 143.3692 = 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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