Pr meaning in Academic & Science ?
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Answer: What is Prandtl Number mean?
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. The Prandtl number is given as:
P r = ν α = momentum diffusivity thermal diffusivity = μ / ρ k / ( c p ρ ) = c p μ k {\displaystyle \mathrm {Pr} ={\frac {\nu }{\alpha }}={\frac {\mbox{momentum diffusivity}}{\mbox{thermal diffusivity}}}={\frac {\mu /\rho }{k/(c_{p}\rho )}}={\frac {c_{p}\mu }{k}}}where:
ν {\displaystyle \nu } : momentum diffusivity (kinematic viscosity), ν = μ / ρ {\displaystyle \nu =\mu /\rho } , (SI units: m2/s) α {\displaystyle \alpha } : thermal diffusivity, α = k / ( ρ c p ) {\displaystyle \alpha =k/(\rho c_{p})} , (SI units: m2/s) reference
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