International Journal of Engineering and Management Research (IJEMR)
  • Year: 2018
  • Volume: 8
  • Issue: 5

Application of Nonlinear Programming to Heat Conduction Model

  • Author:
  • Zhe Zhang1, Yingzhen Wang1, Wenyuan Sun2,
  • Total Page Count: 4
  • Page Number: 169 to 172

1Student, Department of Mathematics, Yanbian University, China

2Lectuer, Department of Mathematics, Yanbian University, China

*Corresponding Author: 1481651816@qq.com

Online published on 2 January, 2019.

Abstract

The design of high-temperature working clothes is a process of theoretical analysis and design of all layers of working clothes based on the premise that human body avoids burns under the high-temperature environment. Steady temperature mathematical model in this paper, through the establishment of system, determine the optimal heat work suit II layer thickness is actually an optimization problem, has been the function relation between the temperature and time conditions, through Fourier heat conduction law, obtained the system ultimately a function of temperature and material thickness, and has set up a nonlinear programming problem, the introduction of the simulated annealing algorithm, and joined the convection and radiation in the algorithm the two factors affect the optimal solution, finally satisfied under the condition of the optimal thickness of the second floor.

Keywords

High Temperature Working Clothes, Fourier Heat Conduction Law, Nonlinear Programming, Simulated Annealing Algorithm