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Magnetic Prandtl Number Calculator

This tool calculates the Magnetic Prandtl Number, which is a ratio between a fluid's momentum and magnetic diffusivity.

Calculation

Inputs



Rem
:20.00​



Re
:2.00​


Output



Prm
:10​


Explanation

The Magnetic Prandtl Number, calculated from the Reynolds Number, measures the interaction of magnetic fields and fluids. It is a ratio between a fluid's momentum and magnetic diffusivity and is significant for its use in fluid dynamics and magnetohydrodynamics.
The magnetic Prandtl Number can be calculated using the equation below. Since the Reynolds Number and the Magnetic Reynolds Number do not have any units, the Magnetic Prandtl Number is also dimensionless.

Prm=RemRe{Prm}=\dfrac{Rem}{Re}
Where:
  1. 
    
    is the Magnetic Prandtl Number
  1. 
    
    is the Magnetic Reynolds Number
  2. 
    
    is the Reynolds Number

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