Wednesday, January 4, 2012

dimensinlessnumbers

Dimensionless numbers

Heat transfer dimensionless numbers:



Prandtl number = momentum diffusivity / thermal diffusivity

V/k
V = u/ ſ
‘ſ ‘ replaced by 1/cp

Pr = CpU/K



Grasshoff number = gβ(T-T’)L*L*L/V*V

Grasshoff number for pipes = gβ(T-T’)D*D*D/V*V

Rayleighs number =
Ra= prandtl * grasshoff

Nusslets number = hx/k

Stanton number =
St=C’/2

C’ = coefficient of friction



Mass transfer dimensionless numbers



Schmidt number : momentum diffusivity / mass diffusivity

Sc= u/ ſ D

Reynolds number = inertial forces /viscous forces
Dv ſ/u

keywords: schmidt number , reynolds number , stanton number ,rayleighs number, nuslets number, prandtl number , grasshoff number,

heat transfer dimensionless numbers, mass transfer dimensionless numbers

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