FC_sphere
The procedure FC_sphere(Fluid$, T_s, T_infinity, P, D : h, Nusselt, Ra) returns the heat transfer coefficient, Nusselt number and Rayleigh number for an isothermal sphere of diameter D submerged in a fluid and subjected to gravity. The units of the inputs and outputs depend on the unit settings in EES. The magnitude of gravity is assumed to be 9.807 [m/s^2].
Inputs:
Fluid$ - string name of any fluid in the EES database. The fluid can be an ideal gas or a real fluid
T_s - surface temperature of the plate in [C], [K], [F], or [R].
T_infinity - bulk temperature of the fluid in [C], [K], [F], or [R].
P - ambient pressure in [Pa], [kPa], [bar], [MPa], [atm], or [psia]
D - diameter of the sphere [m] or [ft]
Outputs:
h - heat transfer coefficient in [W/m^2-K] or [Btu/hr-ft^2-R]
Nusselt - Nusselt number [-]
Ra - Rayleigh number [-]
Notes:
The procedure FC_sphere determines the fluid properties and calculates the Rayleigh and Prandtl numbers. Once these values are found, the non-dimensional procedure FC_sphere_ND is called to calculate the Nusselt number. FC_sphere, in turn, uses the Nusselt number to calculate the coefficient of heat transfer as described in section 6.2.3 of Nellis and Klein.
Example:
$UnitSystem SI C deg J Pa
$VarInfo h units=W/m^2-K
P=101300 [Pa]
T_s=45 [C]
T_infinity=30 [C]
D=0.09 [m]
Fluid$='water'
Call fc_sphere(Fluid$, T_s, T_infinity, P, D : h, Nusselt, Ra)
{Solution:
h=525.5 [W/m^2-K]
Nusselt=75.66
Ra=3.780E+08
}