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Shape Optimization in Phosphate Production
Author(s) -
Dietrich Nicolas,
Marx Thomas,
Pinnau René
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900207
Subject(s) - context (archaeology) , production (economics) , process engineering , ingredient , product (mathematics) , energy (signal processing) , process (computing) , mathematical optimization , efficient energy use , computer science , agricultural engineering , biochemical engineering , environmental science , mathematics , chemistry , economics , engineering , microeconomics , paleontology , statistics , geometry , food science , biology , operating system , electrical engineering
Abstract Phosphate as an industrial product is an essential ingredient in, e.g., agriculture and food industry. The production process is very energy consuming and takes place in high temperature melting furnaces. The costs of the productions are largely governed by the energy costs of the furnace and there is a high potential to save energy by increasing its energy efficiency. Naturally, the shape of the furnace has a high influence on its efficiency. In order to describe the temperature distribution within a furnace mathematically, a widely used model in the industry is the Rosseland approximation. We use this model and discuss the problem in the context of shape optimization.