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Analytical formulation of chemical derivatives in equilibrium plasma flows
1AVIO Aerospace Propulsion, via I Maggio 99, 10040 Rivalta di Torino, Italy. alessio.orsini@gmail.com
Abstract:
Chemical derivatives are used in the mathematical modeling of transport phenomena in equilibrium plasma flows when chemical element diffusion and mixing or demixing effects are accounted for. They measure the variation of mixture chemical composition in response to changes in element fractions, pressure, or temperature. Currently, these quantities are calculated numerically, using finite differences. This approach, other than being computationally expensive and prone to numerical error, does not provide any insight into flow physics. Our work is aimed at introducing a fully analytical method for the calculation of chemical derivatives which bypasses the computational cost. It also provides a simple means of estimating their order of magnitude.
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