对于手机对耳部区域的热影响,以优化的可变顺序进行分量建模
1Basic Engineering Sciences Department, Benha Faculty of Engineering, Benha University, Benha, 13512, Egypt.
Journal of thermal biology
|April 6, 2025
概括
变量顺序的分数模型准确地模拟了手机在耳朵上的热效应. 这种先进的方法捕捉了生物组织中复杂的热传递动态和热记忆,以便更好地进行热分析.
科学领域:
- 数学建模的数学建模
- 生物医学工程 生物医学工程
- 热传递热量转移的方法
背景情况:
- 传统的分数和整数导数在建模复杂系统方面存在局限性.
- 现实世界的系统经常表现出不断演变的记忆和非局部属性.
- 对与生物组织相互作用的电子设备进行准确的热建模至关重要.
研究的目的:
- 开发和介绍一个可变顺序的分数模型来模拟手机对耳部区域的热效应.
- 为了研究智能手机和人类耳朵之间的热传递动态.
- 将变量级分数模型与传统方法的有效性进行比较.
主要方法:
- 使用了一个变量级分数导数模型.
- 采用拉普拉斯变换来解决拟议的数学模型.
- 进行了数值模拟来分析传热动态.
- 进行了参数分析,以研究分数顺序对热性能的影响.
主要成果:
- 与传统模型相比,变量级分数模型在预测热性能方面表现出更高的准确性.
- 该模型有效地捕获了生物组织中的热记忆效应和非局部热传导.
- 参数分析揭示了分数顺序对散热率的显著影响.
- 模拟结果与热谱观测结果保持一致.
结论:
- 变量级分数建模为分析复杂的传热动态提供了更精确的框架.
- 这种方法对于生物医学和电子应用中的热分析非常有效.
- 这项研究突出了变量级微积分计算在模拟不断演变的物理现象中的适应性.
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