Крайова задача теплообміну між людиною та навколишнім середовищем: Fìz.-mat. model. ìnf. tehnol. 2020, 30:29-40
Temperature is one of the most important indicators of human health. Therefore, the study of the effect of temperature on the human body is necessary.The approach of modeling heat transfer between a human and the environment with dispersed parameters is presented in this article. This approach is th...
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Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України
2020
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Physico-mathematical modeling and informational technologies| _version_ | 1867479434244653056 |
|---|---|
| author | Barabash, Oleg Kovtun, Oksana Leschenko, Olga Kosenko, Victoria Dukhnovska, Ksenia |
| author_facet | Barabash, Oleg Kovtun, Oksana Leschenko, Olga Kosenko, Victoria Dukhnovska, Ksenia |
| author_institution_txt_mv | [
{
"author": "Oleg Barabash",
"institution": "State University of Telecommunication, Solomianska Street, 7, 03110, Kyiv, Ukraine"
},
{
"author": "Oksana Kovtun",
"institution": "Taras Shevchenko national university of Kyiv, Vladimirskaya str., 60, 02000 , Kyiv, Ukraine"
},
{
"author": "Olga Leschenko",
"institution": "Taras Shevchenko national university of Kyiv, Vladimirskaya str., 60, 02000 , Kyiv, Ukraine"
},
{
"author": "Victoria Kosenko",
"institution": "4State University of Telecommunication, Solomianska Street, 7, 03110, Kyiv, Ukraine"
},
{
"author": "Ksenia Dukhnovska",
"institution": "5Taras Shevchenko national university of Kyiv, Vladimirskaya str., 60, 02000 , Kyiv, Ukraine"
}
] |
| author_sort | Barabash, Oleg |
| baseUrl_str | http://www.fmmit.lviv.ua/index.php/fmmit/oai |
| collection | OJS |
| datestamp_date | 2020-09-25T08:40:20Z |
| description | Temperature is one of the most important indicators of human health. Therefore, the study of the effect of temperature on the human body is necessary.The approach of modeling heat transfer between a human and the environment with dispersed parameters is presented in this article. This approach is the development of a model heat transfer between a human and the environment with lumped parameters. In the process of modeling, the Fourier law of thermal conductivity, Newton Richman's law and mathematical apparatus of partial differential equations are used.
References
Wyndham, C. H., Atkins, A. R. (1968). A physiological scheme and mathematical model of temperature regulation in man. Pflugers Arch. 303, 14–30.DOI: https://doi.org/10.1007/BF00586824</a >
Pennies, H. H. (1998). Analysis of tissue and arterial blood temperatures in the resting human forearm. Journal of applied physiology, 85(1), 5-34.DOI: https://doi.org/10.1152/jappl.1998.85.1.5</a >
Wissler, E. H. (1961). Steady-state temperature distribution in man. Journal of Applied Physiology, 16(4), 734-740.DOI: https://doi.org/10.1152/jappl.1961.16.4.734</a >
Stolwijk, J. A. J., Hardy, J. D. (1966). Temperature regulation in man—a theoretical study. Pflüger's Archiv für die gesamte Physiologie des Menschen und der Tiere, 291(2), 129-162.DOI: https://doi.org/10.1007/BF00412787
Stolwijk, J. A. (1971). A mathematical model of physiological temperature regulation in man. NASA-CR-1855. Washington, USA.
Stolwijk, J. A. J., Hardy, J. D., Terjung, R. (2011). Control of Body Temperature. In Comprehensive Physiology.DOI: https://doi.org/10.1002/cphy.cp090104</a ></em >
Kravchenko, Y., Leshchenko, O., Dakhno, N., Trush, O., Makhovych, O. (2019). Evaluating the Effectiveness of Cloud Services. In 2019 IEEE International Conference on Advanced Trends in Information Theory, ATIT 2019 - Proceedings,; 120–124.DOI: https://doi.org/10.1109/ATIT49449.2019.9030430
Barabash, O. V., Dakhno, N. B., Shevchenko, H. V. Majsak, T.V. (2017). Dynamic models of decision support systems for controlling UAV by two-step variational-gradient method. 2017 IEEE 4th International Conference Actual Problems of Unmanned Aerial Vehicles Developments (APUAVD),</em > 108–111.DOI: https://doi.org/10.1109/APUAVD.2017.8308787</a >
Hu, Z., Mukhin, V., Kornaga, Y., Volokyta, A., Herasymenko, O. (2017). The scheduler for distributed computer systems based on the network centric approach to resources control. In Proceedings of the 2017 IEEE 9th International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications, IDAACS 2017, 1, 518–523.DOI: https://doi.org/10.1109/IDAACS.2017.8095135</a >
Fiala, D., Lomas, K. J., Stohrer, M. (2001). Computer prediction of human thermoregulatory and temperature responses to a wide range of environmental conditions. International journal of biometeorology, 45(3), 143-159.DOI: https://doi.org/10.1007/s004840100099</a >
Gordon, R. G., Roemer, R. B., Horvath, S. M. (1976). A mathematical model of the human temperature regulatory system-transient cold exposure response. IEEE Transactions on Biomedical Engineering, (6), 434-444.DOI: https://doi.org/10.1109/TBME.1976.324601</a >
Werner, J. (1977). Mathematical treatment of structure and function of the human thermoregulatory system. Biological Cybernetics, 25(2), 93-101.DOI: https://doi.org/10.1007/BF00337267</a >
Fiala, D., Lomas, K. J., Stohrer, M. (2003). First principles modeling of thermal sensation responses in steady-state and transient conditions. ASHRAE Transactions, 109, 179.
Cropper, P. C., Yang, T., Cook, M., Fiala, D., Yousaf, R. (2010). Coupling a model of human thermoregulation with computational fluid dynamics for predicting human–environment interaction. Journal of Building Performance Simulation, 3(3), 233-243.DOI: https://doi.org/10.1080/19401491003615669</a >
Candas, V., d’Ambrosio, F. R., Herrmann, C. (2000). A Mathematical model of thermoregulation to evaluate thermal comfort. Capri. In International Conference on “Energy and Environment towards the Year,</em >, 1031-1043.
Alfano, F. R. D. A., Palella, B. I., Riccio, G. (2008). THERMODE 193: an enhanced Stolwijk thermoregulation model of the human body. In 7th international thermal manikin and modelling meeting, University of Coimbra, 1-8.
Palella, Boris & D’Ambrosio Alfano, Francesca & Riccio, Giuseppe. (2017). On the Evolution of Thermoregulation Models. Ergonomics International Journal, 1(14).DOI: https://doi.org/10.23880/EOIJ-16000118</a >
Ahmedou Bamba, S., Ellabib, A., El Madkouri, A. (2020). Numerical study of optimal control domain decomposition for nonlinear boundary heat in the human eye. Journal of Mathematical Modeling, 1-22.
Mashkov, O. A., Sobchuk, V. V., Barabash, O. V., Dakhno, N. B., Shevchenko, H. V. Maisak, T. V. (2019). Improvement of variational-gradient method in dynamical systems of automated control for integro-differential models. Mathematical Modeling and Computing, 2019, 6(2), 344–357.DOI: https://doi.org/10.23939/mmc2019.02.344</a >
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| spelling | oai:ojs2.www.fmmit.lviv.ua:article-1412020-09-25T08:40:20Z The boundary value problem for the heat transfer task between a human and the environment: Fìz.-mat. model. ìnf. tehnol. 2020, 30:29-40 Крайова задача теплообміну між людиною та навколишнім середовищем: Fìz.-mat. model. ìnf. tehnol. 2020, 30:29-40 Barabash, Oleg Kovtun, Oksana Leschenko, Olga Kosenko, Victoria Dukhnovska, Ksenia математична модель теплообміну між людиною та навколишнім середовищем відсічна модель температура повітря вологість повітря швидкість руху повітря the mathematical model of heat transfer between a human and the environment compartmental model air temperature air humidity air velocity Temperature is one of the most important indicators of human health. Therefore, the study of the effect of temperature on the human body is necessary.The approach of modeling heat transfer between a human and the environment with dispersed parameters is presented in this article. This approach is the development of a model heat transfer between a human and the environment with lumped parameters. In the process of modeling, the Fourier law of thermal conductivity, Newton Richman's law and mathematical apparatus of partial differential equations are used. References Wyndham, C. H., Atkins, A. R. (1968). A physiological scheme and mathematical model of temperature regulation in man. Pflugers Arch. 303, 14–30.DOI: https://doi.org/10.1007/BF00586824</a > Pennies, H. H. (1998). Analysis of tissue and arterial blood temperatures in the resting human forearm. Journal of applied physiology, 85(1), 5-34.DOI: https://doi.org/10.1152/jappl.1998.85.1.5</a > Wissler, E. H. (1961). Steady-state temperature distribution in man. Journal of Applied Physiology, 16(4), 734-740.DOI: https://doi.org/10.1152/jappl.1961.16.4.734</a > Stolwijk, J. A. J., Hardy, J. D. (1966). Temperature regulation in man—a theoretical study. Pflüger's Archiv für die gesamte Physiologie des Menschen und der Tiere, 291(2), 129-162.DOI: https://doi.org/10.1007/BF00412787 Stolwijk, J. A. (1971). A mathematical model of physiological temperature regulation in man. NASA-CR-1855. Washington, USA. Stolwijk, J. A. J., Hardy, J. D., Terjung, R. (2011). Control of Body Temperature. In Comprehensive Physiology.DOI: https://doi.org/10.1002/cphy.cp090104</a ></em > Kravchenko, Y., Leshchenko, O., Dakhno, N., Trush, O., Makhovych, O. (2019). Evaluating the Effectiveness of Cloud Services. In 2019 IEEE International Conference on Advanced Trends in Information Theory, ATIT 2019 - Proceedings,; 120–124.DOI: https://doi.org/10.1109/ATIT49449.2019.9030430 Barabash, O. V., Dakhno, N. B., Shevchenko, H. V. Majsak, T.V. (2017). Dynamic models of decision support systems for controlling UAV by two-step variational-gradient method. 2017 IEEE 4th International Conference Actual Problems of Unmanned Aerial Vehicles Developments (APUAVD),</em > 108–111.DOI: https://doi.org/10.1109/APUAVD.2017.8308787</a > Hu, Z., Mukhin, V., Kornaga, Y., Volokyta, A., Herasymenko, O. (2017). The scheduler for distributed computer systems based on the network centric approach to resources control. In Proceedings of the 2017 IEEE 9th International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications, IDAACS 2017, 1, 518–523.DOI: https://doi.org/10.1109/IDAACS.2017.8095135</a > Fiala, D., Lomas, K. J., Stohrer, M. (2001). Computer prediction of human thermoregulatory and temperature responses to a wide range of environmental conditions. International journal of biometeorology, 45(3), 143-159.DOI: https://doi.org/10.1007/s004840100099</a > Gordon, R. G., Roemer, R. B., Horvath, S. M. (1976). A mathematical model of the human temperature regulatory system-transient cold exposure response. IEEE Transactions on Biomedical Engineering, (6), 434-444.DOI: https://doi.org/10.1109/TBME.1976.324601</a > Werner, J. (1977). Mathematical treatment of structure and function of the human thermoregulatory system. Biological Cybernetics, 25(2), 93-101.DOI: https://doi.org/10.1007/BF00337267</a > Fiala, D., Lomas, K. J., Stohrer, M. (2003). First principles modeling of thermal sensation responses in steady-state and transient conditions. ASHRAE Transactions, 109, 179. Cropper, P. C., Yang, T., Cook, M., Fiala, D., Yousaf, R. (2010). Coupling a model of human thermoregulation with computational fluid dynamics for predicting human–environment interaction. Journal of Building Performance Simulation, 3(3), 233-243.DOI: https://doi.org/10.1080/19401491003615669</a > Candas, V., d’Ambrosio, F. R., Herrmann, C. (2000). A Mathematical model of thermoregulation to evaluate thermal comfort. Capri. In International Conference on “Energy and Environment towards the Year,</em >, 1031-1043. Alfano, F. R. D. A., Palella, B. I., Riccio, G. (2008). THERMODE 193: an enhanced Stolwijk thermoregulation model of the human body. In 7th international thermal manikin and modelling meeting, University of Coimbra, 1-8. Palella, Boris & D’Ambrosio Alfano, Francesca & Riccio, Giuseppe. (2017). On the Evolution of Thermoregulation Models. Ergonomics International Journal, 1(14).DOI: https://doi.org/10.23880/EOIJ-16000118</a > Ahmedou Bamba, S., Ellabib, A., El Madkouri, A. (2020). Numerical study of optimal control domain decomposition for nonlinear boundary heat in the human eye. Journal of Mathematical Modeling, 1-22. Mashkov, O. A., Sobchuk, V. V., Barabash, O. V., Dakhno, N. B., Shevchenko, H. V. Maisak, T. V. (2019). Improvement of variational-gradient method in dynamical systems of automated control for integro-differential models. Mathematical Modeling and Computing, 2019, 6(2), 344–357.DOI: https://doi.org/10.23939/mmc2019.02.344</a > У статті представлений підхід моделювання теплопередачі між людиною і навколишнім середовищем з дисперсними параметрами. Цей підхід є розробкою моделі теплообміну між людиною і навколишнім середовищем з зосередженими параметрами. В процесі моделювання використовуються закон теплопровідності Фур'є, закон Ньютона-Ріхмана і математичний апарат рівнянь в часткових похідних. Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2020-09-20 Article Article application/pdf https://www.fmmit.lviv.ua/index.php/fmmit/article/view/141 10.15407/fmmit2020.30.029 PHYSICO-MATHEMATICAL MODELLING AND INFORMATIONAL TECHNOLOGIES; No. 30 (2020): Physico-mathematical modeling and informational technologies, 2020, Issue 30; 29-40 ФІЗИКО-МАТЕМАТИЧНЕ МОДЕЛЮВАННЯ ТА ІНФОРМАЦІЙНІ ТЕХНОЛОГІЇ; № 30 (2020): Фізико-математичне моделювання та інформаційні технології, 2020, Вип. 30; 29-40 2617-5258 1816-1545 10.15407/fmmit2020.30 en https://www.fmmit.lviv.ua/index.php/fmmit/article/view/141/131 Авторське право (c) 2020 Oleg Barabash, Oksana Kovtun, Olga Leschenko, Victoria Kosenko, Ksenia Dukhnovska (Автор) |
| spellingShingle | математична модель теплообміну між людиною та навколишнім середовищем відсічна модель температура повітря вологість повітря швидкість руху повітря Barabash, Oleg Kovtun, Oksana Leschenko, Olga Kosenko, Victoria Dukhnovska, Ksenia Крайова задача теплообміну між людиною та навколишнім середовищем: Fìz.-mat. model. ìnf. tehnol. 2020, 30:29-40 |
| title | Крайова задача теплообміну між людиною та навколишнім середовищем: Fìz.-mat. model. ìnf. tehnol. 2020, 30:29-40 |
| title_alt | The boundary value problem for the heat transfer task between a human and the environment: Fìz.-mat. model. ìnf. tehnol. 2020, 30:29-40 |
| title_full | Крайова задача теплообміну між людиною та навколишнім середовищем: Fìz.-mat. model. ìnf. tehnol. 2020, 30:29-40 |
| title_fullStr | Крайова задача теплообміну між людиною та навколишнім середовищем: Fìz.-mat. model. ìnf. tehnol. 2020, 30:29-40 |
| title_full_unstemmed | Крайова задача теплообміну між людиною та навколишнім середовищем: Fìz.-mat. model. ìnf. tehnol. 2020, 30:29-40 |
| title_short | Крайова задача теплообміну між людиною та навколишнім середовищем: Fìz.-mat. model. ìnf. tehnol. 2020, 30:29-40 |
| title_sort | крайова задача теплообміну між людиною та навколишнім середовищем: fìz.-mat. model. ìnf. tehnol. 2020, 30:29-40 |
| topic | математична модель теплообміну між людиною та навколишнім середовищем відсічна модель температура повітря вологість повітря швидкість руху повітря |
| topic_facet | математична модель теплообміну між людиною та навколишнім середовищем відсічна модель температура повітря вологість повітря швидкість руху повітря the mathematical model of heat transfer between a human and the environment compartmental model air temperature air humidity air velocity |
| url | https://www.fmmit.lviv.ua/index.php/fmmit/article/view/141 |
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