The thermal behavior analysis of the human eye under the heat conduction law with one relaxation time

Youssef, Hamdy M.; El-Bary, Alaa A.

doi:10.1016/j.aej.2020.09.054

Cited by 8 publications

(3 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For forecasting realistic outcomes, following realistic data has been carried out [19] ( ) Further, we observe the influences of the distance . For the first three regions of eye, temperature field enhances as the distance increases and for the other three regions, for some time, temperature decreases at the distance increases and later it moves in steady state.…”

Section: Computational Results and Discussionmentioning

confidence: 99%

“…Using the Eqns. ( 1) and ( 2), we achieve the following heat conduction model in terms of Tzou concept [19] including two-phase delays…”

Section: Basic Equationsmentioning

confidence: 99%

“…Lord and Shulman [18] provided the concept of one-time relaxation parameter in heat transfer. Youssef and El-Bary [19] adopted the theory of bio heat transfer in concept of the Lord Shulman model to analyse the thermal effects on the human eye.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Mathematical modelling of thermal waves inside human eye due to instantaneous heat flux in context of generalized heat transfer theory with relaxation times

Tiwari

Kumar

Sachan

2023

Preprint

View full text Add to dashboard Cite

Being a most sensitive organ of the human body, eyes are significantly affected from the environmental/thermal changes. Therefore, mathematical modelling of the heat transport inside the human eye has become a topic of immense interest for the scientific community. The current article establishes a new mathematical model to observe the impact of the temperature distributions inside each part of the human eye. A bio-heat transfer model concerning two relaxation times (dual phase lag) is taken into account for the study of the heat flux in the eye. Closed-form solutions are determined by adopting a normal model analysis approach. Quantitative results are evaluated in the space and the time domain. Influences of the prominent parameters such as porosity parameter, activation energy, blood perfusion quantity and ambient temperature are observed on the temperature distributions for each part of the human eye. Influences of the phase lag parameters on the temperature distributions are obtained inside different layers of eye. Advantages of the present heat transfer model are established by comparing the present numerical results with the corresponding results under the theory of the old established bio heat transfer model having one relaxation parameter (LS model) and classical theory of heat transfer (CTE model) without relaxation time.

show abstract

Section: Computational Results and Discussionmentioning

confidence: 99%

“…Using the Eqns. ( 1) and ( 2), we achieve the following heat conduction model in terms of Tzou concept [19] including two-phase delays…”

Section: Basic Equationsmentioning

confidence: 99%

See 1 more Smart Citation

Mathematical modelling of thermal waves inside human eye due to instantaneous heat flux in context of generalized heat transfer theory with relaxation times

Tiwari

Kumar

Sachan

2023

Preprint

View full text Add to dashboard Cite

show abstract

Bio-thermo-mechanics behavior in living viscoelastic tissue under the fractional dual-phase-lag theory

Ezzat

2021

Arch Appl Mech

View full text Add to dashboard Cite

Effect of environmental temperature on the performance of different contact lenses materials

Alshaikhli

Al-Hamdani

Abbas

et al. 2023

J Opt

View full text Add to dashboard Cite

The thermal behavior analysis of the human eye under the heat conduction law with one relaxation time

Cited by 8 publications

References 25 publications

Mathematical modelling of thermal waves inside human eye due to instantaneous heat flux in context of generalized heat transfer theory with relaxation times

Mathematical modelling of thermal waves inside human eye due to instantaneous heat flux in context of generalized heat transfer theory with relaxation times

Bio-thermo-mechanics behavior in living viscoelastic tissue under the fractional dual-phase-lag theory

Effect of environmental temperature on the performance of different contact lenses materials

Contact Info

Product

Resources

About