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FIG. 6. Contour lines representing selected values (numbers on curves) of the dimensionless heat capacity kernel F*(X,Y,
) for a dual-probe heat-pulse sensor with heater probe at (X,Y) = (–
,0) and temperature probe at (X,Y) = (,0). The dots show the location of the probes. The two contours for F*(X,Y,) = –0.054051 (unlabeled) intersect to form two saddle points. The kernel has a local maximum of F*(X,Y,) = –0.044986 at (X,Y) = (0,0) and global minima of F*(X,Y,) = –0.082842 near (X,Y) = (–,0) and (X,Y) = (,0) (cross symbols). Results are from Eq. [34]. The dimensionless heat capacity kernel is negative everywhere, and has no singularities at (X,Y) = (–,0) and (X,Y) = (,0).
