Diffusion Reaction Interaction for a Pair of Spheres - ETD ...
Diffusion Reaction Interaction for a Pair of Spheres - ETD ...
Diffusion Reaction Interaction for a Pair of Spheres - ETD ...
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2.5 Constant concentration contour curves about the sink are shown<br />
labeled <strong>for</strong> the various dimensionless concentration values<br />
u ( = cD / a2σ<br />
2 ) . The diffusion-controlled sink ( 1 0 → λ ) is the<br />
smaller <strong>of</strong> the two spheres near the center <strong>of</strong> the figure, the larger<br />
source appears partially at the right. The x1, y1 grid refers to the<br />
coordinates from the center <strong>of</strong> the sink <strong>of</strong> radius 1 1 = a , and the<br />
source has a radius a 10 . The center-to-center sink-source<br />
2 =<br />
−1<br />
separation d(<br />
a1<br />
+ a2<br />
) = 1.<br />
20 is taken to be slightly larger than the<br />
distance <strong>for</strong> the maximum reaction probability………..………….…. 47<br />
2.6 Constant concentration contour curves about the sink are shown<br />
labeled <strong>for</strong> the various dimensionless concentration values<br />
u ( = cD / a2σ<br />
2 ) . The diffusion-controlled sink ( 1 0 → λ ) is the<br />
smaller <strong>of</strong> the two spheres near the center <strong>of</strong> the figure, the larger<br />
source appears partially at the right. The x1, y1 grid refers to the<br />
coordinates from the center <strong>of</strong> the sink <strong>of</strong> radius 1 1 = a , and the<br />
source has radius a 10 . The center-to-center sink-source<br />
2 =<br />
−1<br />
separation d(<br />
a1<br />
+ a2<br />
) = 1.<br />
05 is taken to be slightly smaller than the<br />
distance <strong>for</strong> the maximum reaction probability…………...…………. 48<br />
3.1 Dimensionless consumption rate R1 <strong>of</strong> sphere 1 versus the<br />
−1<br />
dimensionless intersphere center-to-center distance d(<br />
a1<br />
+ a2<br />
) to<br />
sphere 2 <strong>for</strong> sphere 2 inverse dimensionless reactivity<br />
−1<br />
λ 2 ( = D(<br />
k2a<br />
2 ) ) = 50 , and a sink-to-sink radius ratio ( 1 / 2 ) a a = γ <strong>of</strong><br />
0.10. The different curves refer to selected dimensionless, surface<br />
−1<br />
inverse sphere 1 reaction rate coefficients λ1(<br />
= D(<br />
k1a1<br />
) ) <strong>of</strong> 0.02,<br />
0.1, 0.5, 1, 5, 10 and 50 assigned from the uppermost curve in<br />
descending order.……………………………………………….…..... 75<br />
3.2 Dimensionless consumption rate R1 <strong>of</strong> sphere 1 versus the<br />
−1<br />
dimensionless intersphere center-to-center distance d(<br />
a1<br />
+ a2<br />
) to<br />
sphere 2 <strong>for</strong> sphere 2 inverse dimensionless reactivity<br />
−1<br />
λ 2 ( = D(<br />
k2a<br />
2 ) ) = 1,<br />
and a sink-to-sink radius ratio ( 1 / 2 ) a a = γ <strong>of</strong><br />
0.10. The different curves refer to selected dimensionless, surface<br />
−1<br />
inverse sphere 1 reaction rate coefficients λ1(<br />
= D(<br />
k1a1<br />
) ) <strong>of</strong> 0.02,<br />
0.1, 0.5, 1, 5, 10 and 50 assigned from the uppermost curve in<br />
descending order.…………………...………………………....……... 76<br />
vi