PDF Publication Title:
Text from PDF Page: 003
(a) пмппт anode,ܙ = щ/2 Ѣ и , ѐ ји Inlet Ѣ і ћ , ѐ јі Ѧ Ѣ и , ѐ ји ќѥ (b) ѧ ќѥ (c) ѧ ќѥ non-penetrating walls CEM charged channel (-) м outlet Ѣ е , ѐ је outlet Ѣ й , ѐ јй CEM cathode, ܙ = Ȓ щ / 2 charged channel (-) Figure 2: Two systems (a single channel and a stack) used in this paper to model shock ED. (a) Projection of both systems in the xy-plane, (b) projection of the single-channel in the xz-plane, and (c) projection of the stack in xz-plane. conditions when dealing with multiple ions. Lastly, this model system also includes the unsupported elec- trolyte (i.e., a matrix with no charge) at the inlet and outlet, which can capture the streaming potential as well as regulate the flow and transport in the charged channel. 2. Depth-averaged model for planar shock ED system In this section, we will provide a depth-averaged model for multiple ion transport in the single-channel system shown in Fig.2(a)(b). The system mimics the shock ED prototype in Fig.2, but it uses a planar, charged channel instead of the macroporous material. Two uncharged microchannels (one as the inlet and the other as the outlet) are connected to the charged channel, which allows us to use pore-scale equations to describe the transport in the feed stream, as presented in Sec.2.1. We will then simplify the model under the assumption of thin channels in Sec.2.2, derive the depth-averaged equations in Sec.2.3, and give the boundary conditions of the feed channel in Sec.2.4. Finally we will nondimensionalize the model in Sec.2.5 and extend the model for a stack of charged channels (Fig.2(c)) in Sec.2.6. 2.1. General equations Shock ED is a nonlinear process, where the ion concentration for each species c1, c2, ···cN, the flow velocity u = {u, v, w}, the electric potential ψ, and the hydraulic pressure p are coupled. Here N = Ns + 2 is the total number of species, and we denote salt ions by subscripts k = 1,2,··· ,Ns, H+ by k = Ns + 1, and OH− by k = Ns + 2. There are N + 5 variables in total for a three-dimensional system, and we need the same number of equations to solve for them. To begin with, ions are transported by convection, diffusion, and electromigration. For species k (k = 1, 2, · · · , N unless specified otherwise) in a dilute solution, ion flux Jk can be described by the Nernst-Plank equation Jk =uck−Dk∇ck+zkck∇ψ, (1) VT where Dk, zk are respectively the diffusivity and valence of the species k, VT = kbT/e is the thermal voltage where kb is the Boltzmann constant, T is the temperature, and e is the electron charge. We can add the ion 3 2Ďу 2Ďу 2Ďіќ 2Ďіќ ли ліќ лѠліќ ли ліќ лй ле л лрPDF Image | Theory of shock electrodialysis
PDF Search Title:
Theory of shock electrodialysisOriginal File Name Searched:
2012-05431.pdfDIY PDF Search: Google It | Yahoo | Bing
NFT (Non Fungible Token): Buy our tech, design, development or system NFT and become part of our tech NFT network... More Info
IT XR Project Redstone NFT Available for Sale: NFT for high tech turbine design with one part 3D printed counter-rotating energy turbine. Be part of the future with this NFT. Can be bought and sold but only one design NFT exists. Royalties go to the developer (Infinity) to keep enhancing design and applications... More Info
Infinity Turbine IT XR Project Redstone Design: NFT for sale... NFT for high tech turbine design with one part 3D printed counter-rotating energy turbine. Includes all rights to this turbine design, including license for Fluid Handling Block I and II for the turbine assembly and housing. The NFT includes the blueprints (cad/cam), revenue streams, and all future development of the IT XR Project Redstone... More Info
Infinity Turbine ROT Radial Outflow Turbine 24 Design and Worldwide Rights: NFT for sale... NFT for the ROT 24 energy turbine. Be part of the future with this NFT. This design can be bought and sold but only one design NFT exists. You may manufacture the unit, or get the revenues from its sale from Infinity Turbine. Royalties go to the developer (Infinity) to keep enhancing design and applications... More Info
Infinity Supercritical CO2 10 Liter Extractor Design and Worldwide Rights: The Infinity Supercritical 10L CO2 extractor is for botanical oil extraction, which is rich in terpenes and can produce shelf ready full spectrum oil. With over 5 years of development, this industry leader mature extractor machine has been sold since 2015 and is part of many profitable businesses. The process can also be used for electrowinning, e-waste recycling, and lithium battery recycling, gold mining electronic wastes, precious metals. CO2 can also be used in a reverse fuel cell with nafion to make a gas-to-liquids fuel, such as methanol, ethanol and butanol or ethylene. Supercritical CO2 has also been used for treating nafion to make it more effective catalyst. This NFT is for the purchase of worldwide rights which includes the design. More Info
NFT (Non Fungible Token): Buy our tech, design, development or system NFT and become part of our tech NFT network... More Info
Infinity Turbine Products: Special for this month, any plans are $10,000 for complete Cad/Cam blueprints. License is for one build. Try before you buy a production license. May pay by Bitcoin or other Crypto. Products Page... More Info
| CONTACT TEL: 608-238-6001 Email: greg@infinityturbine.com | RSS | AMP |