Which number is defined as the ratio of momentum diffusivity to thermal diffusivity?(a) Prandtl number(b) Nusselt number(c) Reynold’s number(d) Sherwood numberI got this question in homework.My doubt stems from Liquid- Solid Mass Transfer Correlations topic in chapter Heterogenous Reactions of Bioprocess Engineering

Which number is defined as the ratio of momentum diffusivity to therma

1.	Which number is defined as the ratio of momentum diffusivity to thermal diffusivity?(a) Prandtl number(b) Nusselt number(c) Reynold’s number(d) Sherwood numberI got this question in homework.My doubt stems from Liquid- Solid Mass Transfer Correlations topic in chapter Heterogenous Reactions of Bioprocess Engineering
Answer» Right choice is (a) Prandtl number The explanation: The Prandtl number (Pr) or Prandtl group is a dimensionless number, It is defined as the RATIO of momentum diffusivity to thermal diffusivity. That is, the Prandtl number is given as: where: v : momentum diffusivity (KINEMATIC viscosity), v = μ/ρ, (SI UNITS: m^2/s) α : thermal diffusivity, α = k/(cp ρ), (SI units: m^2/s) μ : dynamic viscosity, (SI units: PA s = N s/m^2) k : thermal conductivity, (SI units: W/m-K) cp : specific heat, (SI units: J/kg-K) ρ : density, (SI units: kg/m^3).

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