DEVELOPMENT OF FOURIER-REYNOLDS CORRELATIONS FOR COOLING PARAMETERS

Fourier and Reynolds correlations are presented for determining the values of thermal parameters defined in terms of the half cooling times and seven-eighths cooling times for spheres and cylinders being cooled in air or water flows. In this respect, an experimental, modeling and literature-survey investigation was conducted. In the experiments, several spheres and cylinders were cooled in ail and water flows. and their centre temperatures measured. In the modeling part, a methodology was used to determine the cooling parameters, and using experimental data, together with some experimental data from the literature, the following Fourier-Reynolds correlations for half and seven-eighths cooling times were developed: Fo(s) = 0.3693Re(-0.11871) and Fo(z) = 1.2951Re(-0.16003) respectively for water-cooling applications; Fo(s) = 42.465Re(-0.54426) and Fo(z) = 125.21Re(-0.53913) respectively for air-cooling applications. The results of the present study show that there is a strong relationship between the Fourier and Reynolds numbers, and the developed Fourier-Reynolds correlations reasonably determine the cooling thermal parameters for spherical or cylindrical bodies cooled in water and air flows. These correlations could be of benefit in the refrigeration industry.