Finite Difference Method Simulation on Effect of Blood Perfusion on Temperature Distribution of Female Human Skin
DOI:
https://doi.org/10.21776/MECHTA.2022.003.01.4Keywords:
Bio-Heat Transfer, One-Dimensional Unsteady Finite Difference Method, Female Human’s Skin, Blood PerfusionAbstract
Bioheat transfer is a combination of heat transfer and biology process comprising of transfer of heat from human living tissue to the environment. This study aims to estimate the temperature distribution of female human’s skin. In this study, effect of varied blood perfusions of 1.5, 2.0, 2.5 and 3.0 kg/s.m3 on bioheat transfer of female human skin, which was modeled into four layers, was simulated. To address this issue, one-dimensional unsteady state finite difference method was applied in this study.  Result of this study informed that the finite difference method can be used to solve the bioheat transfer equation and to estimate temperature distribution of different skin layers of female human. In this study, blood perfusion affects temperature distribution in the four layers of unstable women's skin. The highest blood perfusion of 3 kg/s.m3 resulted in more homogeny temperature distribution of different skin layers. This circumstance occurred since higher blood perfusion increases heat transfer between blood and skin layers.
References
PENNES, H.H., “Analysis of tissue of arterial blood temperatures the resting human forearmâ€, Journal of Applied Physiology, v. 1, pp. 93–122. 1948
KANITAKIS, J., “Anatomy, histology, and immunohistochemistry of normal human skinâ€, European Journal of Dermatology – Anatomy, v. 12, pp. 390-399, 2002
RICKETTS, P.L. , MUDALIAR, A.V., ELLIS, B.E., PULLINS, C.A., MEYERS, L.A., LANZ, O.E., SCOTT, E.P., DILLER, T.E., “Non-invasive blood perfusion measurements using a combined temperature and heat flux surface probeâ€. Int. J. Heat Mass. Transf, v. 51, pp. 5740–5748, 2008
OLTULU, P., INCE, B., KOKBUDAK, N., FINDIK, S., KILINC, F., “Measurement of epidermis, dermis, and total skin thicknesses from six different body regions with a new ethical histometric technique†Turk J Plast Surg., v. 26, pp. 56-61, 2018
LUITEL, K., GURUNG, D.B., UPRETY. K.N., “Effect of various parameters for temperature distribution in human body: an analytic approachâ€, Special issue on Recent Advances in Engineering Systems Journal, v. 3, pp. 421-426. 2018
WU, Y., NIEUWENHOFF , M.D., HUYGEN , F.J.P.M., VAN DER HELM, F.C.T., NIEHOF, S., SCHOUTEN, S.C., “Characterizing human skin blood flow regulation in response to different local skin temperature perturbationsâ€, Microvasc Res, v. 111, pp. 96-102, 2017
GURUNG, D.B., SHRESTHA, D.C., “Mathematical study of temperature distribution in human dermal part during physical exercisesâ€, Journal of the Institute of Engineering, v. 12, pp. 63-76, 2020
SHRESTHA, D.C., ACHARYA, S., GURUNG, D.B., “Modeling on metabolic rate and thermoregulation in three layered human skin during carpentering, swimming and marathonâ€, Applied Mathematics, v. 11 n. 8, pp. 753-770, 2020
GURUNG, D.B., ACHARYA, S., “Sweating effect on males and females body temperature variationâ€, J Appl Computat Math, v. 7 n. 3, pp. 1-11, 2018
WAHYUDI, S., LESTARI, P., GAPSARI, F., “Study application of finite difference methods (FDM) on the mathematical model of bioheat transfer of one-dimensional in human skin exposed environment conditionâ€, Journal of Mechanical Engineering Research and Developments, v. 44, pp. 01-09, 2021
LUITEL, K., GURUNG, D.B., KHANAL, H., UPRETY, K.N., “Numerical study of transient bio-heat transfer model with heat transfer coefficient and conduction effect in cylindrical living tissueâ€, The Nepali Math. Sc. Report, v. 36, 2019
, E., LAKHSSASSI, A., VAILLANCOURT, R., “temperature distribution in living biological tissue simultaneously subjected to oscillatory surface and spatial heating: analytical and numerical analysisâ€, International Mathematical Forum, v. 7, pp. 2373-2392, 2012
PANDEY, H.R., GURUNG, D.B., “Numerical solution of one-dimensional bioheat transfer equation in cylindrical living tissuesâ€, International Journal of Advanced Engineering Research and Application, v. 4, pp. 194-201, 2018
RODRIGUES, D.B., PEREIRA, P.J.S., LIMÃO-VIEIRA, P., STAUFFER, P.R., MACCARINI, P.F., “Study of the one dimensional and transient bioheat transfer equation: multi-layer solution development and applicationsâ€, Int J Heat Mass Transf, v. 62, pp. 153–162. 2013
GHANMI. A., ABBAS, I., “An analytical study on the fractional transient heating within the skin tissue during the thermal therapyâ€, Journal of Thermal Biology, v. 82, pp. 229-233, 2019
SARKAR, D., .HAJI-SHEIKH, A., JAIN, A., “Temperature distribution in multi-layer skin tissue in presence of a tumorâ€, International Journal of Heat and Mass Transfer, v. 91, pp. 602-610. 2018
HOBINY, A., ABBAS, I., “Analytical solutions of fractional bioheat model in a spherical tissueâ€, Mechanics Based Design of Structures and Machines, v. 49 n. 3, pp. 430-439, 2019
NAJAR. A.A., GULZAR, R., SINGH, I., “Mathematical study of heat transport in human dermal regions under normal and tumour conditionsâ€, Journal of Scientific Research, v. 64 n. 2, pp. 216-220, 2020
CENGEL, Y.A., GHAJAR, A.J., Heat And Mass Transfer: Fundamentals & Applications, Fifth Edition, McGraw-Hill Education, New York, USA, 2015
Downloads
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See the Effect of Open Access).
