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FEM Approach for Transient Heat Transfer in Human Eye

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DOI: 10.4236/am.2013.410A2003    3,868 Downloads   6,909 Views   Citations

ABSTRACT

In this paper, a bio-heat transfer model of temperature distribution in human eye is discussed using appropriate boundary conditions for cornea and sclera. Variational finite element method with Crank-Nicolson scheme is used to calculate the transient temperature distribution in normal human eye. The temperature with and without the effect of blood perfusion and metabolism on retina is simulated and compared for various ambient temperatures, evaporation rates and lens thermal conductivities. The obtained results are compared with experimental results and past results found in literatures. The results show that the steady state corneal temperature is achieved in around 31 and 45 minute of exposure at ambient temperatures 10 and 50 respectively. Steady state eye temperature is achieved earlier at higher evaporation rate. Similar result is achieved for higher lens thermal conductivity and also for lower ambient temperature.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

G. C., D. Gurung and P. Adhikary, "FEM Approach for Transient Heat Transfer in Human Eye," Applied Mathematics, Vol. 4 No. 10B, 2013, pp. 30-36. doi: 10.4236/am.2013.410A2003.

References

[1] D. B. Gurung and V. P. Saxena, “Transient Temperature Distribution in Human Dermal Part with Protective Layer at Low Atmospheric Temperature,” International Journal of Biomathematics, Vol. 3, No. 4, 2010, pp. 439-451. http://dx.doi.org/10.1142/S1793524510001070
[2] V. M. M. Flycket, B. W. Roaymakers and J. J. W. Lagendijk, “Modeling the Impact of Blood Flow on the Temperature Distribution in the Human Eye and the Orbit: Fixed Heat Transfer Coefficient versus the Pennesbioheat Model versus Discrete Blood Vessels,” Physics in Medicine and Biology, Vol. 51, No. 19, 2006, pp. 5007-5021. http://dx.doi.org/10.1088/0031-9155/51/19/018
[3] T. Wessapan and P. Rattanadecho, “Specific Absorbtion Rate and Temperature Increase in Human Eye Subjected to Electromagnetic Fields at 900 MHZ,” Transactions of the ASME-C-Journal of Heat Transfer, Vol. 134, No. 9, 2012, Article ID: 091101.
[4] J. Voke, “Occupational Vision Hazards: Infrared Radiation and the Eye,” Optometry Today, Vol. 48, No. 17, 2008, pp. 40-43.
[5] J. J. W. Lagendijk, “A Mathematical Model to Calculate Temperature Distributions in Human and Rabbit Eyes during Hyperthermia Treatment,” Physics in Medicine and Biology, Vol. 27, No. 11, 1982, pp. 1301-1311. http://dx.doi.org/10.1088/0031-9155/27/11/001
[6] J. A. Scott, “A Finite Element Model of Heat Transport in the Human Eye,” Physics in Medicine and Biology, Vol. 33, No. 2, 1988, pp. 227-241. http://dx.doi.org/10.1088/0031-9155/33/2/003
[7] E. H. Amara, “Numerical Investigations on Thermal Effects of Laser-Ocular Media Interaction,” International Journal of Heat and Mass Transfer, Vol. 38, No. 13, 1995, pp. 2479-2488. http://
dx.doi.org/10.1016/0017-9310(94)00353-W
[8] E. Y. K. Ng and E. H. Ooi, “FEM Simulation of the Eye Structure with Bio-Heat Analysis,” Computer Methods and Programs in Biomedicine, Vol. 82, No. 3, 2006, pp. 268-276. http://dx.doi.org/10.1016/
j.cmpb.2006.04.001
[9] E. Li, G. R. Liu, V. Tan and Z. C. He, “Modeling and Simulation of Bioheat Transfer in the Human Eye Using the 3D Alpha Finite Element Method (aFEM),” International Journal for Numerical Methods in Biomedical Engineering, Vol. 26, No. 8, 2010, pp. 955-976.
[10] M. Cvetkovic, D. Poljak and A. Peratta, “FETD Computation of the Temperature Distribution Induced into a Human Eye by a Pulsed Laser,” Progress in Electromagnetics Research, Vol. 120, 2011, pp. 403-421.
[11] A. Narasimhan, K. K. Jha and L. Gopal, “Transient Simulations of Heat Transfer in Human Eye Undergoing Laser Surgery,” International Journal of Heat and Mass Transfer, Vol. 53, No. 1, 2009, pp. 482-490. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.09.007
[12] B. Anderson, “Ocular Effects of Changes in Oxygen and Carbon Dioxide Tension,” Transactions of the American Ophthalmological Society, Vol. 66, No. 1, 1968, pp. 423474.
[13] H. H. Pennes, “Analysis of Tissue and Arterial Blood Temperatures in the Resting Human Forearm,” Journal of Applied Physiology, Vol. 85, No. 1, 1998, pp. 5-34.
[14] K. C. Gokul, D. B. Gurung and P. R. Adhikary, “Effect of Blood Perfusion and Metabolism in Temperature Distribution in Human Eye,” Advances in Applied Mathematical Biosciences, Vol. 4, No. 1, 2013, pp. 13-23.
[15] H. Wang and Q. H. Qin, “FE Approach with Green’s Function as Internal Trial Function for Simulating Bioheat Transfer in the Human Eye,” Archives of Mechanics, Vol. 62, No. 6, 2010, pp. 493-510.
[16] R. Mepastone, “Determinants of Corneal Temperature,” British Journal of Ophthalmology, Vol. 52, No. 10, 1968, 729-741. http://dx.doi.org/10.1136/bjo.52.10.729
[17] L. Kessel, L. Johnson, H. Aridsson and M. Larsen, “The Relationship between Body and Ambient Temperature and Corneal Temperature,” Investigative ophthalmology & Visual Science, Vol. 51, No. 12, 2010, pp. 6593-6597. http://dx.doi.org/10.1167/iovs.10-5659

  
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