短脉冲激光角膜照射的数学模型：双相位滞后模型

IF 0.8 Q2 MATHEMATICS

Journal of Applied Mathematics and Computational Mechanics Pub Date : 2021-09-01 DOI:10.17512/jamcm.2021.3.01

R. Autar, Anuj Kumar

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引用次数: 0

摘要

。通过将热流相滞后和温度梯度相滞后纳入傅立叶传热模型，建立了激光热角膜移植术(LTK)下短脉冲Ho: YAG激光照射下角膜温度演变的简单数学模型。利用拉普拉斯变换技术得到了该数学模型的解析解。通过图形给出了温度分布和温度随时间变化的计算结果。讨论了热流相滞后和温度梯度相滞后等典型参数对温度分布和温度变化的影响。MSC 2010: 92b05, 80a20, 78a60, 35l20

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Mathematical modeling of short pulsed laser irradiation in the cornea: a dual phase lag model

. A simple mathematical model for the temperature evolution in the cornea exposed to short-pulsed Ho: YAG laser under Laser Thermo Keratoplasty (LTK) treatment is developed by incorporating both the heat flux phase-lag and temperature gradient phase-lag in Fourier’s heat transfer model. An analytical solution to the mathematical model is obtained using the Laplace transformation technique. The computational results for the temperature profile and the temperature variation with time are presented through the graphs. The effect of some typical parameters: the heat flux phase-lag and the temperature gradient phase-lag on the temperature distribution and temperature variations are illustrated and discussed. MSC 2010: 92B05, 80A20, 78A60, 35L20

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来源期刊

Journal of Applied Mathematics and Computational Mechanics MATHEMATICS-

CiteScore

2.00

自引率

10.00%

发文量

审稿时长

25 weeks