FIG. 4. Dimensionless integral I*(
) as defined by Eq. [40]. It is the spatial integral of the Fréchet kernel F*(X,Y,
) across a small region of radius R2 = b centered at (X,Y) = (
,0), the location of the temperature probe. Results are from Eq. [A5] with b = 1/12. Note that I*(
) varies smoothly near
= 0.25, despite the fact that the kernel F*(X,Y,
) has a negative singularity at (X,Y) = (
,0) for
< 0.25 and a positive singularity at (X,Y) = (
,0) for
> 0.25.