Leiwei Lin
School of Computer and Computing Science, Zhejiang University City College, Hangzhou, China
Zhike Han
School of Computer and Computing Science, Zhejiang University City College, Hangzhou, China
Yiming Zhao
School of Computer and Computing Science, Zhejiang University City College, Hangzhou, China
Lei Yan
School of Computer and Computing Science, Zhejiang University City College, Hangzhou, China
ABSTRACT
This study develops a model of finite-difference equations heat distribution of designing brownie production pans and shows the distribution of heat across the outer edge of a pan of different shapes, including rectangular, circular and other shapes. The main task is to improve the utilization rate of the area and make the heat distributed evenly. The combined shape is positive n polygon+round corner and the differential equation for heat conduction is established according to Fourier's law. The Finite-Difference Method and Gauss-Seidel Iteration are applied to solve the equation. This study has also calculated the maximum number of pans and the utilization rate of the area using Permutation and Combination. Then a quantitative model of the shape optimization is presented. Finally, the conclusion is that the best type of pan is Round Corner Square. And a novel idea about the shape like 8 is put forward.
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How to cite this article
Leiwei Lin, Zhike Han, Yiming Zhao and Lei Yan, 2013. Optimization Design of Brownie Production Pans Based on Finite-difference Equations Heat Distribution Model. Information Technology Journal, 12: 4236-4242.
DOI: 10.3923/itj.2013.4236.4242
URL: https://scialert.net/abstract/?doi=itj.2013.4236.4242
DOI: 10.3923/itj.2013.4236.4242
URL: https://scialert.net/abstract/?doi=itj.2013.4236.4242
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