AUTHORS: Alexander Blokhin, Ekaterina Kruglova, Boris Semisalov

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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 𝑟𝑟0 of the inner cylinder

KEYWORDS: polymer dynamics, mesoscopic approach, magnetohydrodynamics, heat dissipation, coaxial cylinders, singularly perturbed problem, pseudospectral method, Chebyshev polynomials.

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