Team:Oxford/biopolymer containment
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- | <h1blue2> | + | <h1blue2>Further analysis of polymer coating</h1blue2> |
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To further explore coating thickness – diffusion rate relationship, we used analogous relationships developed for heat diffusion. This is done because the fundamental laws governing mass and heat diffusion are of a similar form; they are both driven by gradients – concentration and temperature respectively: | To further explore coating thickness – diffusion rate relationship, we used analogous relationships developed for heat diffusion. This is done because the fundamental laws governing mass and heat diffusion are of a similar form; they are both driven by gradients – concentration and temperature respectively: | ||
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<img src="https://static.igem.org/mediawiki/2014/c/c9/Oxford_Leroy_eqn11.png" style="float:right;position:relative; width:20%;margin-left:0%;margin-right:20%;margin-bottom:2%;" /> | <img src="https://static.igem.org/mediawiki/2014/c/c9/Oxford_Leroy_eqn11.png" style="float:right;position:relative; width:20%;margin-left:0%;margin-right:20%;margin-bottom:2%;" /> | ||
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+ | Because the system involves two-phase diffusion, we used an equivalent form derived from two-phase heat transfer. | ||
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+ | This yielded: | ||
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+ | <img src="https://static.igem.org/mediawiki/2014/2/2e/Oxford_Leroy_eqn12.png" style="float:left;position:relative; width:30%;margin-left:35%;margin-right:35%;margin-bottom:2%;" /> | ||
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+ | Using this relationship alongside diffusion data for two given thicknesses, we can characterize the two phase system using two unknown diffusion constants- k and h. Because the system had not reached a steady state and m ̇ was constantly varying, we used the conditions at the start of the diffusion process where C_0 = 0 and used the gradient at t = 0 as a starting value for C ̇. | ||
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+ | Finding the mass transfer rate was done by matching the experimental data to an anticipated exponential response and calculating the initial gradient as described above. | ||
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Revision as of 10:31, 29 September 2014