Nonlinear analysis of the effect of viscoelasticity on ferroconvection

Title

Nonlinear analysis of the effect of viscoelasticity on ferroconvection

Creator

Melson A.C.; Siddheshwar P.; Sekhar G.N.

Description

Thispaper concerns a nonlinear analysis of the effects of viscoelasticity on convection in ferroliquids. We consider the Oldroyd model for the constitutive equation of the liquid. The linear stability analysis yields the critical value of the Rayleigh number for the onset of oscillatory convection in Maxwell and Jeffrey ferroliquids. The use of a minimal mode double Fourier series in the nonlinear perturbation equations yields a KhayatLorenz model for the ferromagnetic liquid, and that is scaled further to get the classical Lorenz model as a limiting case. The scaled KhayatLorenz model thus obtained is solved numerically and the solution is used to compute the time-dependent Nusselt number, which quantifies the heat transport. The results are analyzed for the dependence of the time-averaged Nusselt number on different parameters. 2021 Wiley Periodicals LLC

Source

Heat Transfer, Vol-50, No. 4, pp. 3861-3878.

Date

2021-01-01

Publisher

John Wiley and Sons Inc

Subject

convection; ferromagnetic liquid; heat transfer; KhayatLorenz model; viscoelastic liquid

Coverage

Melson A.C., Department of Mathematics, B.M.S. College of Engineering(affiliated to Visvesvaraya Technological University, Belagavi), Bengaluru, Karnataka, India; Siddheshwar P., Department of Mathematics, CHRIST (deemed to be university), Bengaluru, Karnataka, India; Sekhar G.N., Department of Mathematics, B.M.S. College of Engineering(affiliated to Visvesvaraya Technological University, Belagavi), Bengaluru, Karnataka, India

Rights

Restricted Access

Relation

ISSN: 26884534

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.1002/htj.22055

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