Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Modelling of polymeric fluid flow taking into account the electromagnetic impacts and the heat dissipation*. / Blokhin, Alexander; Kruglova, Ekaterina; Semisalov, Boris.
в: WSEAS Transactions on Systems and Control, Том 14, 21, 01.01.2019, стр. 169-182.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Modelling of polymeric fluid flow taking into account the electromagnetic impacts and the heat dissipation*
AU - Blokhin, Alexander
AU - Kruglova, Ekaterina
AU - Semisalov, Boris
PY - 2019/1/1
Y1 - 2019/1/1
N2 - A new mathematical model describing non-isothermal flow of incompressible viscoelastic polymeric liquid between two coaxial cylinders has been developed on the basis of the mesoscopic approach to polymer dynamics. This model is a system of non-linear PDEs taking into account the electromagnetic impacts and the dissipation of heat. Integral expression for determining the velocity of flow is derived and boundary value problem for temperature is posed. For calculating the velocity and temperature profiles Chebyshev approximations were used and the pseudospectral numerical algorithm was constructed. The stationary numerical solutions are obtained for wide range of values of physical parameters and for record-low values of the radius r0 of the inner cylinder.
AB - A new mathematical model describing non-isothermal flow of incompressible viscoelastic polymeric liquid between two coaxial cylinders has been developed on the basis of the mesoscopic approach to polymer dynamics. This model is a system of non-linear PDEs taking into account the electromagnetic impacts and the dissipation of heat. Integral expression for determining the velocity of flow is derived and boundary value problem for temperature is posed. For calculating the velocity and temperature profiles Chebyshev approximations were used and the pseudospectral numerical algorithm was constructed. The stationary numerical solutions are obtained for wide range of values of physical parameters and for record-low values of the radius r0 of the inner cylinder.
KW - Chebyshev polynomials
KW - Coaxial cylinders
KW - Heat dissipation
KW - Magnetohydrodynamics
KW - Mesoscopic approach
KW - Polymer dynamics
KW - Pseudospectral method
KW - Singularly perturbed problem
UR - http://www.scopus.com/inward/record.url?scp=85071021601&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:85071021601
VL - 14
SP - 169
EP - 182
JO - WSEAS Transactions on Systems and Control
JF - WSEAS Transactions on Systems and Control
SN - 1991-8763
M1 - 21
ER -
ID: 21348862