FIG. 5. Surface representing the Fréchet kernel F*(X,Y,
) as a function of X and Y for X
0 at dimensionless time
= 0.25. The kernel F*(X,Y,
) is for a dual-probe-heat-pulse sensor with heater probe at (X,Y) = (–
,0) and temperature probe at (X,Y) = (
,0). The vertical line shows the location of the temperature probe at (X,Y) = (
,0). Results are from Eq. [34]. The dimensionless kernel is negative everywhere, and there is no singularity at (X,Y) = (
,0).