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Поле DC | Значение | Язык |
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dc.contributor.author | Pavlovsky, Valery A. | - |
dc.date.accessioned | 2023-03-14T13:49:38Z | - |
dc.date.available | 2023-03-14T13:49:38Z | - |
dc.date.issued | 2022-12 | - |
dc.identifier.citation | Pavlovsky, V. A. (2023). Power generalization of the linear constitutive equations of heat and mass transfer and the variants of writing the equations of momentum transfer, heat and diffusion arising from them. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 18(4), 527-534. | en_GB |
dc.identifier.other | https://doi.org/10.21638/11701/spbu10.2022.407 | - |
dc.identifier.uri | http://hdl.handle.net/11701/39310 | - |
dc.description.abstract | Currently, when solving problems of heat and mass transfer, linear constitutive equations are used - in hydrodynamics, the viscous stress tensor is proportional to the strain rate tensor (Newton's rheological ratio), in heat transfer, the heat flux density is linearly related to the temperature gradient (Fourier's heat conduction law), in mass transfer, the diffusion flux density proportional to the concentration gradient (Fick's law). When writing these linear governing equations, proportionality coefficients are used, which are called the viscosity coefficient, thermal conductivity coefficient and diffusion coefficient, respectively. Such constitutive equations are widely used to describe the processes of heat and mass transfer in a laminar flow regime. For turbulent flows, these equations are unsuitable, it is necessary to introduce into consideration the empirical turbulent coefficients of viscosity μt, thermal conductivity λt and diffusion Dt. However, to describe turbulent flows, it is possible to go in another way - to modify the linear constitutive relations by giving them a nonlinear power-law form. Two-parameter power-law generalizations of Newton's, Fourier's and Fick's formulas for shear stress, heat flux density and diffusion, which, depending on the value of the exponents, can be used to describe the processes of heat and mass transfer both in laminar and turbulent fluid flow. Also, this generalization can be used to describe the behavior of power-law fluids and flows of polymer solutions exhibiting the Toms effect. | en_GB |
dc.description.sponsorship | This study was carried out within the framework of the state task by Ministry of Science and Higher Education of the Russian Federation for the implementation of research works N 075-03-2020-094/1 of June 10, 2020. | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 18; Issue 4 | - |
dc.subject | hydrodynamics | en_GB |
dc.subject | heat transfer | en_GB |
dc.subject | diffusion | en_GB |
dc.subject | Newton's | en_GB |
dc.subject | Fourier's | en_GB |
dc.subject | Fick's formulas | en_GB |
dc.subject | power generalizations | en_GB |
dc.subject | turbulence | en_GB |
dc.title | Power generalization of the linear constitutive equations of heat and mass transfer and the variants of writing the equations of momentum transfer, heat and diffusion arising from them | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 4 |
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15528-Текст статьи-52260-1-10-20230308.pdf | 403,03 kB | Adobe PDF | Просмотреть/Открыть |
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