Modelling of polymeric fluid flow taking into account the electromagnetic impacts and the heat dissipation*

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Modelling of polymeric fluid flow taking into account the electromagnetic impacts and the heat dissipation^*. / Blokhin, Alexander; Kruglova, Ekaterina; Semisalov, Boris.

In: WSEAS Transactions on Systems and Control, Vol. 14, 21, 01.01.2019, p. 169-182.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{6d931699efae4c8284de66408c20cce9,

title = "Modelling of polymeric fluid flow taking into account the electromagnetic impacts and the heat dissipation*",

abstract = "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.",

keywords = "Chebyshev polynomials, Coaxial cylinders, Heat dissipation, Magnetohydrodynamics, Mesoscopic approach, Polymer dynamics, Pseudospectral method, Singularly perturbed problem",

author = "Alexander Blokhin and Ekaterina Kruglova and Boris Semisalov",

year = "2019",

month = jan,

day = "1",

language = "English",

volume = "14",

pages = "169--182",

journal = "WSEAS Transactions on Systems and Control",

issn = "1991-8763",

publisher = "World Scientific and Engineering Academy and Society",

}

RIS

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