RT Journal Article
ID 4ee1cc4e2063c7e7
A1 Campo, Antonio
A1 Macia, Yunesky Masip
T1 REGULAR SOLID BODIES WITH UNIFORM SURFACE HEAT FLUX: CURVE-FITTED SURFACE TEMPERATURES VERSUS TIME IN THE SMALL TIME SUBREGION
JF Heat Transfer Research
JO HTR
YR 2019
FD 2019-01-16
VO 50
IS 5
SP 487
OP 499
K1 regular solid bodies
K1 uniform surface heat flux
K1 exact analytical temperatures
K1 infinite series for "all time"
K1 regression analysis
K1 correlation asymptotes
K1 surface temperatures at "small time"
AB The present study considers the behavior of surface temperatures in regular solid bodies (plate, cylinder, and sphere) with constant initial temperature and heated with uniform heat flux in the early time subregion. First, the dimensionless surface temperatures are evaluated numerically in the entire dimensionless time domain with a symbolic algebra software owning automatic convergence control. Second, a regression analysis is applied to the gathered data for the dimensionless surface temperatures versus the dimensionless time in the dimensionless time subregion 0 < τ ≤ τ_{cr} (τ_{cr} is the critical dimensionless time that sets the borderline for the "large time" subregion). As a direct outcome, compact correlation asymptotes are retrieved for prediction of the dimensionless surface temperatures in the plate, cylinder, and sphere confined to the dimensionless time subregion 0 < τ ≤ τ_{cr} Interestingly, agreement with the exact analytical surface temperature distributions expressible by the standard infinite series for the "all time" domain is considered excellent.
PB Begell House
LK http://dl.begellhouse.com/journals/46784ef93dddff27,6dfd6bf43906c30c,4ee1cc4e2063c7e7.html