过滤嘴对吸烟的作用的数值分析

论文编号:XXLW056 论文字数:8536,页数:34

摘     要

 本文从物理学角度出发，通过对人的吸烟过程进行分析，建立吸烟模型，引入两个基本函数和，运用物理学上的守恒定律和微积分上的微元分析法准确地构造出动态吸烟模型，得到人体吸入毒物量与各个变量之间的关系的函数表达式。针对过滤嘴有无作用的问题，分别建立有过滤嘴和无过滤嘴两种情况，对这两者进行定性的比较分析，得出基本结论。
 结合收集到的数据，根据Matlab的Plot函数法，对模型进行定量的分析。对人体吸入的毒物量Q进行分析，对于如何减少毒物吸入量给出了合理的建议。为烟民和香烟制造商提供了借鉴。
 最后，结合以上模型的分析及所得结果，对Matlab语言在微分方程的应用做了客观的评价，同时也指出本文中的优缺点。
 
关键词：吸烟模型；过滤嘴；微分方程；微元法；守恒定律；Matlab

Abstract
 This article is from the physical point of view, setting up a smoking mathematical model through the analysis of people''''s smoking process. The article leads in 2 basic functions and , using the Conservation law of physics and Micro-element analysis of Calculus, accurately setting up a dynamic model of smoking, finally getting the relation between the amount of poison Q and some other variables. For the question of if a filter tip is effective or not, 2 different situations was set up in the article, one is with filter tip and the other is without filter tip. And then did a qualitative analysis and comparison as per 2 situations and got a final result.
 The model was finally analyzed and verified by Matlab software accord to the data collected from elsewhere. The article offered a reasonable proposal on how to reduce the amount of poison when smoking.
  In the last, combining the analysis and the outcome of the above model, we give an objective evaluation of the Matlab language in the application of differential equations, but also point out the advantages and disadvantages of this article.
 
Keywords: smoking model; filter tip ; differential equation; infinitesimal method; conservation law; Matlab

目  录
中文摘要 i
英文摘要 ii
目录 iii
前言 1
第一章    研究背景  2
 1.1  现状 2
 1.2  已有研究方法 2
 1.3  本文研究方法 2
第二章   MATLAB软件 3
 2.1 MATLAB的简介 3
 2.2 MATLAB中的Plot函数简介 3
第三章   吸烟模型 5
 3.1   吸烟的基本过程 5
 3.2   吸烟模型（smoking model） 5
 3.2.1  模型机理 5
 3.2.2  模型假设 5
 3.2.3  模型建立 6
 3.2.4  模型定性分析 11
 3.2.5  模型定量分析 13
第四章   结果分析 26
致谢 27
参考文献 28
附录A      程序源代码