Non-dimensional Groups

Question 1

What is the Prandtl number?

Answer 1

Correlates viscosity with thermal conductivity (convection vs conduction)

Question 2

What is the Biot number?

Answer 2

hs/λ where h is heat transfer coefficient, s is characteristic length and λ is thermal conductivity
Ratio of thermal resistance within body to convective heat transfer at surface

Question 3

What is the Fourier number?

Answer 3

Fo = ατ/s^2 = t/τ where τ is characteristic time, s is characteristic length, and α is thermal diffusivity

Question 4

What is the Grashof number?

Answer 4

Approximates the ratio of buoyancy to viscous forces

Question 5

What is the Stanton Number?

Answer 5

Represents ratio of heat transfer coefficient to heat capacity of a fluid