Influence of heat sources and relaxation time on temperature distribution in tissues

• Autorzy: Sharma S. , Sharma K.

Identyfikatory

DOI

10.2478/ijame-2014-0029

• Języki publikacji: EN

Abstrakty

EN

In the present study, the temperature fluctuations in tissues based on Penne’s bio-heat transfer equation is investigated by applying the Laplace and Hankel transforms. To get the solution in a physical form, a numerical inversion technique has been applied. The temporal and spatial distribution of temperature is investigated with the effect of relaxation time and is presented graphically.

Słowa kluczowe

EN

Penne's bio-heat equation; relaxation time; heat source; Laplace transform; Hankel transform

PL

wahania temperatury w tkankach; ciepło biologiczne; równanie Laplace'a; źródło ciepła

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2014
• Tom: Vol. 19, no. 2
• Strony: 427--433
• Opis fizyczny: Bibliogr. 14 poz., wykr.

Twórcy

autor

Sharma S.

• Department of Instrumentation Kurukshetra University Kurukshetra, INDIA

autor

Sharma K.

• Department of Mechanical Engineering NIT Kurukshetra, Haryana, INDIA

Bibliografia

• [1] Arkin H. and Holmes K.R. (1994): Recent developments in modeling heat transfer in blood perfused tissues. - IEEE Transactions on Biomedical Engineering, vol.41, No.2, pp.97-107. doi:10.1109/10.284920.
• [2] Bowman H.F., Cravalho E.G. and Woods M. (1975): Theory, measurement, and application of thermal properties of biomaterials. - Annual Review of Biophysics and Bioengineering, vol.4, pp.43-80. doi:10.1146/annurev.bb.04.060175.000355.
• [3] Carslaw H.S. and Jaeger J.C. (1959): Conduction of Heat in Solids 2nd Edition. - Oxford University Press.
• [4] Chan C.L. (1992): Boundary element method analysis for the bioheat transfer equation. - Journal of Biomechanical Engineering, vol.114, No.3, pp.358-365. doi:10.1115/1.2891396.
• [5] Diller K.R. (1998): Modeling thermal skin burns on a personal computer. - The Journal of Burn Care and Rehabilitation, vol.19, No.5, pp.420-429. doi:10.1097/00004630-199809000-00012.
• [6] Diller K.R. (1999): Development and solution of finite-difference equations for burn injury with spreadsheet soft- ware. - The Journal of Burn Care and Rehabilitation, vol.20, No.1, pp.25-32.
• [7] Erdmann B., Lang J. and Seebass M. (1998): Optimization of temperature distributions for regional hyperthermia based on a nonlinear heat transfer model. - Annals of the New York Academy of Sciences, vol.858, No.1, pp.36-46. doi:10.1111/j.1749-6632.1998.tb10138.x.
• [8] Jiang S.C., Ma N., Li H.J. and Zhang X. (2002): Effects of thermal properties and geometrical dimensions on skin burn injuries. - Burns, vol.28, No.8, pp.713-717. doi:10.1016/S0305-4179(02)00104-3.
• [9] Lienhard J.H. (1987): A Heat Transfer Textbook. - Prentice- Hall, Englewood Cliffs.
• [10] Martin G.T., Bowman H.F. and Newman W.H. (1992): Basic element method for computing the temperature field during hyperthermia therapy planning. - Advanced Bio Heat Mass Transfer, vol.231, pp.75-80.
• [11] Mochnacki B. and Majchrzak E. (2003): Sensitivity of the skin tissue on the activity of external heat sources. - Computer Modeling in Engineering and Sciences, vol.4, No.4, pp.431-438.
• [12] Othman M.I., Ali M.G.S. and Farouk R.M. (2011): The effect of relaxation time on the heat transfer and temperature distribution in tissues. - World Journal of Mechanics, vol.1, pp.283-287 doi:10.4236/wjm.2011.16035.
• [13] Riu P.J., Foster K.R., Blick D.W. and Adair E.R. (1997): A thermal model for human thresholds of microwave- evoked warmth sensations. - Bioelectromagnetics, vol.18, No.8, pp.578-583. doi:10.1002/(SICI)1521-186X(1997)18:8<578::AID-BEM6>3.0.CO;2-#.
• [14] Yréus P.D. and Diederich J. (2002): Theoretical model of in- ternally cooled interstitial ultrasound applicators for thermal therapy. - Physics in Medicine and Biology, vol.47, No.7, pp.1073-1089. doi:10.1088/0031-9155/47/7/306.