Reactor assemblies and methods of performing reactions
Reactors are provided that can include a first set of fluid channels and a second set of fluid channels oriented in thermal contact with the first set of fluid channels where the channels of either one or both of the first of the set of fluid channels are non-linear. Reactor assemblies are also provided that can include a first set of fluid channels defining at least one non-linear channel having a positive function, and a second set of fluid channels defining at least another non-linear channel having a negative function in relation to the positive function of the one non-linear channel of the first set of fluid channels.
1. A reactor comprising:
a first set of fluid channels defining at least one non-linear channel having a shape defined by, with reference to a polar coordinate system, a positive mathematical function; and
a second set of fluid channels defining at least another non-linear channel having a shape defined by, with reference to the polar coordinate system, a negative mathematical function in relation to the positive mathematical function of the one non-linear channel of the first set of fluid channels.
2. The reactor of claim 1 wherein the first set of channels define microchannels.
3. The reactor of claim 1 wherein the first set of channels define mesochannels.
4. The reactor of claim 1 wherein the first and second set of channels define microchannels.
5. The reactor of claim 1 wherein the first and second set of channels define mesochannels.
6. The reactor of claim 1 wherein the absolute value of the mathematical function of the one channel is equivalent to the absolute value of the mathematical function of the other channel.
7. The reactor of claim 1 wherein the first set of fluid channels defines a plurality of non-linear channels having the same positive mathematical function; and the second set of fluid channels defines a plurality of nonlinear channels having the same negative mathematical function in relation to the positive mathematical function of the plurality of non-linear channels of the first set of fluid channels.
8. The reactor of claim 7 wherein the absolute value of the mathematical function of the plurality of non-linear channels of the first set of fluid channels is equivalent to the absolute value of the mathematical function of the plurality of non-linear channels of the second set of fluid channels.
9. The reactor of claim 1 wherein each of individual ones of the first set of fluid channels defines a non-linear channel having the positive mathematical function; and each of individual ones of the second set of fluid channels defines a non-linear channel having the negative mathematical function in relation to the positive mathematical function of the individual non-linear channels of the first set of fluid channels.
10. The reactor of claim 9 wherein the absolute value of the mathematical function of the individual non-linear channels of the first set of fluid channels is equivalent to the absolute value of the mathematical function of the individual non-linear channels of the second set of fluid channels.
11. The reactor of claim 1 wherein the first set of fluid channels are curves given by the formula θ=((r−b)/a) c .
12. The reactor of claim 11 wherein the second set of fluid channels are curves given by the formula θ=−((r−b)/a) c .
13. The reactor of claim 1 wherein the first set of fluid channels defining at least one non-linear channel comprise a three dimensional curve.
14. The reactor of claim 1 wherein the first set of fluid channels and the second set of fluid channels are configured as counter spirals.
15. The reactor of claim 1 wherein either or both sets of channels comprise a catalyst.
16. The reactor of claim 15 wherein the catalyst is in the form of foams, felts, lattices, or particles.