Dimensionless Numbers

Surface Conductance

Internal Conductance of Solid

h	-	heat xfer coef at surface
L	-	characteristic length of conduction. Ex: radius.
k	-	thermal conductivity of solid

g	-	acceleration of gravity
β	-	coef of thermal expansion of fluid
L	-	characteristic length of object
Δ T	-	wall temp - ambient temp
ν	-	kinematic viscosity

Convection at Surface

Conduction at Surface

h	-	heat xfer coef at surface
L	-	characteristic length of object
k	-	thermal conductivity of fluid

Diffusion of Momentum

Diffusion of Heat

μ	-	viscosity of fluid
c_p	-	specific heat of fluid
k	-	thermal conductivity of fluid

Intertial Force

ρ	-	density of fluid
V	-	far field fluid velocity
L	-	characteristic length of object
μ	-	viscosity of fluid

Heat Xfer at Wall

Energy Xported by Stream

h	-	heat xfer coefficient
ρ	-	density of fluid
V	-	far field fluid velocity
c_p	-	specific heat of fluid