FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Prandtl Number using Diffusivities Formula

GoPrandtl Number Formula

Fx Copy

LaTeX Copy

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. Check FAQs

Pr = \frac{𝜈}{α}

Pr - Prandtl Number?𝜈 - Momentum Diffusivity?α - Thermal Diffusivity?

Prandtl Number using Diffusivities Example

With values

With units

Only example

Here is how the Prandtl Number using Diffusivities equation looks like with Values.

Here is how the Prandtl Number using Diffusivities equation looks like with Units.

Here is how the Prandtl Number using Diffusivities equation looks like.

0.7168 = \frac{4}{5.58}

0.7168 = \frac{4m²/s}{5.58m²/s}

0.7168 = \frac{4}{5.58}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Chemical Engineering » Category

Heat Transfer » fx Prandtl Number using Diffusivities

Prandtl Number using Diffusivities Solution

Follow our step by step solution on how to calculate Prandtl Number using Diffusivities?

FIRST Step Consider the formula

Pr = \frac{𝜈}{α}

Next Step Substitute values of Variables

∴

Pr = \frac{4m²/s}{5.58m²/s}

Next Step Prepare to Evaluate

∴

Pr = \frac{4}{5.58}

Next Step Evaluate

∴

Pr = 0.716845878136201

LAST Step Rounding Answer

∴

Pr = 0.7168

Prandtl Number using Diffusivities Formula Elements

Variables

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.

Symbol: Pr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Prandtl Number

Momentum 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.

Symbol: 𝜈

Measurement: DiffusivityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Momentum Diffusivity

Thermal Diffusivity

Thermal diffusivity is the thermal conductivity divided by density and specific heat capacity at constant pressure.

Symbol: α

Measurement: DiffusivityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Thermal Diffusivity

Other Formulas to find Prandtl Number

Go Prandtl Number

Pr = c \cdot \frac{μ viscosity}{k}

Other formulas in Co Relation of Dimensionless Numbers category

Go Reynolds Number for Circular Tubes

Re = ρ \cdot u Fluid \cdot \frac{D Tube}{μ viscosity}

Go Reynolds Number for Non-Circular Tubes

Re = ρ \cdot u Fluid \cdot \frac{L c}{μ viscosity}

Go Nusselt Number for Transitional and Rough Flow in Circular Tube

Nu = (\frac{f Darcy}{8}) \cdot (Re - 1000) \cdot \frac{Pr}{1 + 12.7 \cdot ({(\frac{f Darcy}{8})}^{0.5}) \cdot ({(Pr)}^{\frac{2}{3}} - 1)}

Go Stanton Number using Dimensionless Numbers

St = \frac{Nu}{Re \cdot Pr}

How to Evaluate Prandtl Number using Diffusivities?

Prandtl Number using Diffusivities evaluator uses Prandtl Number = Momentum Diffusivity/Thermal Diffusivity to evaluate 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 evaluate Prandtl Number using Diffusivities using this online evaluator? To use this online evaluator for Prandtl Number using Diffusivities, enter Momentum Diffusivity (𝜈) & Thermal Diffusivity (α) and hit the calculate button.

FAQs on Prandtl Number using Diffusivities

What is the formula to find Prandtl Number using Diffusivities?

The formula of Prandtl Number using Diffusivities is expressed as Prandtl Number = Momentum Diffusivity/Thermal Diffusivity. Here is an example- 0.716846 = 4/5.58.

How to calculate Prandtl Number using Diffusivities?

With Momentum Diffusivity (𝜈) & Thermal Diffusivity (α) we can find Prandtl Number using Diffusivities using the formula - Prandtl Number = Momentum Diffusivity/Thermal Diffusivity.

What are the other ways to Calculate Prandtl Number?

Here are the different ways to Calculate Prandtl Number-

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit