|Now we like to
know Tf, Tf, air, Tc and temperature
gradient in term of known quantity.
|Since we have
three unknowns and we like to derive dimensionless temperature, we need to
have two energy balance equations.
and hf are the heat transfer coefficients for radiation (between
ceiling and floor) and convection (between air and floor surface). And is
density of the supply air and V is volumetric flow rate and Cp is
the specific heat. Note we linearize
radiation heat transfer, otherwise it is fourth power.
|Based on the
equations (1) and (2), we could drive dimensionless temperature,