ESTIMATION PROCEDURES FOR REYNOLDS AND GRASHOF NUMBERS VIA MIXED CONVECTION AROUND A SPHERE

Abstract

The procedures to estimate the free-stream velocity around a sphere and/or the surface temperature of it are presented. Dimensionless governing and sensitivity equations are solved by the finite-element method. Taylor's linear approximation is used. Only one location of measurement with its sensitivity is used to estimate Reynolds number, and another location of measurement is used for Grashof number. An optimal location of measurement in the velocity field exists, but in the temperature field only a referred one can be chosen. The contraction factor, a new idea related to over- and underestimations, is used to construct the supervising ranges.