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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5.2 <strong>Reaction</strong> probability Pint<br />
<strong>for</strong> a first order penetrable sink and a<br />
zeroth order source versus the dimensionless center to center<br />
distance d /( a1<br />
+ a2<br />
) between the source and sink, <strong>for</strong> a sink to<br />
source radius ratio ( 1 / a2<br />
) a = γ <strong>of</strong> 1.0, extracellular to internal sink<br />
diffusivity ratio / ) D D = ε <strong>of</strong> 0.1 and sink Thiele Modulus<br />
( int<br />
φ a k / D ) <strong>of</strong>. 0.1, 0.5, 1, 5, 10 and 5). The lower solid<br />
T ( 1 int int<br />
=<br />
lines are the exact reaction probability, equation (5.41), <strong>for</strong> an<br />
internally reactive sink, and the dashed lines refers to the<br />
approximate, sink surface reaction probability Psur , equation<br />
(5.45), with the corresponding effective inverse dimensionless<br />
−1<br />
reaction rate coefficient λ1eff<br />
( = ε /( φT<br />
coth φT<br />
−1)<br />
) <strong>of</strong> 30, 1.22,<br />
0.320, 0.025, 0.011, and 0.002..……………………………………. 129<br />
5.3 <strong>Reaction</strong> probability Pint<br />
<strong>for</strong> a first order penetrable sink and a zeroth<br />
order source versus the dimensionless center to center distance<br />
d /( a1<br />
+ a2<br />
) between the source and sink, <strong>for</strong> a sink to source radius<br />
ratio ( 1 / a2<br />
a γ = ) <strong>of</strong> 10, extracellular to internal sink diffusivity ratio<br />
( / int ) D D = ε <strong>of</strong> 0.1 and sink Thiele Modulus ) / ( T a1<br />
kint<br />
Dint<br />
= φ <strong>of</strong><br />
0.1, 0.5, 1, 5, 10 and 50. The lower solid lines are the exact reaction<br />
probability, equation (5.41), <strong>for</strong> an internally reactive sink, and the<br />
dashed lines refers to the approximate, sink surface reaction<br />
probability Psur<br />
, equation (5.45), with an effective inverse<br />
−1<br />
dimensionless reaction rate coefficient λ1eff ( = ε /( φT<br />
coth φT<br />
−1)<br />
) <strong>of</strong><br />
30, 1.22, 0.320, 0.025, 0.011 and 0.002……………………………… 130<br />
5.4 <strong>Reaction</strong> probability Pint<br />
<strong>for</strong> a first order penetrable sink and a zeroth<br />
order source versus the dimensionless center to center distance<br />
d /( a1<br />
+ a2<br />
) between the source and sink, <strong>for</strong> a sink to source radius<br />
ratio ( 1 / a2<br />
) a = γ <strong>of</strong> 0.1, extracellular to internal sink diffusivity ratio<br />
( / int ) D D = ε <strong>of</strong> 1.0 and sink Thiele Modulus ) / ( T a1<br />
kint<br />
Dint<br />
= φ <strong>of</strong><br />
0.5, 1, 5, 10 and 50. The lower solid lines are the exact reaction<br />
probability, equation (5.41), <strong>for</strong> an internally reactive sink, and the<br />
dashed lines refers to the approximate, sink surface reaction<br />
probability Psur<br />
, equation (5.45), with an effective inverse<br />
−1<br />
dimensionless reaction rate coefficient λ1eff<br />
( = ε /( φT<br />
coth φT<br />
−1)<br />
) <strong>of</strong><br />
12.2, 3.19, 0.25, 0.111 and 0.0204…………………………………… 131<br />
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