Home / Questions / Free convection heat transfer is sometimes quantified by writing Equation 420 as
Free convection heat transfer is sometimes quantified by writing Equation 4.20 as q_{conv} = S_{keff} ∆T_{1-2}, where k_{eff} is an effective thermal conductivity. The ratio k_{eff}/k is greater than unity because of fluid motion driven by buoyancy forces, as represented by the dashed streamlines.
An experiment for the configuration shown yields a heat transfer rate per unit length of q’_{conv} = 110 W/m for surface temperatures of T_{1} = 53°C and T_{2} = 15°C, respectively. For inner and outer cylinders of diameters d = 20 mm and D = 60 mm, and an eccentricity factor of z =10 mm, determine the value of k_{eff}. The actual thermal conductivity of the fluid is k = 0.255 W/m∙ K.
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