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Physical Sciences and Mathematics Commons

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Full-Text Articles in Physical Sciences and Mathematics

Environmental Balance Through Optimal Control On Pollutants, Nita H. Shah, Foram A. Thakkar, Moksha H. Satia Jun 2019

Environmental Balance Through Optimal Control On Pollutants, Nita H. Shah, Foram A. Thakkar, Moksha H. Satia

Applications and Applied Mathematics: An International Journal (AAM)

Pollution, which is a very common term has been divided as primary pollutants and secondary pollutants. Primary pollutants are those who results directly from some process whereas secondary pollutants are caused due to intermixing and reaction of primary pollutants. These pollutants result into acid rain. In this paper, a mathematical model has been developed to study the environmental impact due to acid rain. Pollutants such as primary and secondary pollutants are the causes of acid rain. Control in terms of gases emitted by factories, smog, burning of coal and fossil fuels have been applied on primary pollutants, secondary pollutants and …


Paper Structure Formation Simulation, Tyler R. Seekins May 2019

Paper Structure Formation Simulation, Tyler R. Seekins

Electronic Theses and Dissertations

On the surface, paper appears simple, but closer inspection yields a rich collection of chaotic dynamics and random variables. Predictive simulation of paper product properties is desirable for screening candidate experiments and optimizing recipes but existing models are inadequate for practical use. We present a novel structure simulation and generation system designed to narrow the gap between mathematical model and practical prediction. Realistic inputs to the system are preserved as randomly distributed variables. Rapid fiber placement (~1 second/fiber) is achieved with probabilistic approximation of chaotic fluid dynamics and minimization of potential energy to determine flexible fiber conformations. Resulting digital packed …