Finite element modeling of dual convection in a wavy cavity containing magnetohydrodynamics non-Newtonian Casson fluid

This study focuses on the mathematical modeling of dual convection energy transfer in a wavy cavity. The non-Newtonian Casson fluid model is envisioned as being capable of describing characteristics of viscoelastic liquids. An inclined magnetic field that is governed by Lorentz force is also taken i...

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Bibliographic Details
Published inNumerical heat transfer. Part B, Fundamentals Vol. 85; no. 8; pp. 1009 - 1025
Main Authors Ma, Qiaomei, Li, Yousheng
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 02.08.2024
Taylor & Francis Ltd
Subjects
Casson fluid
Convection
Discretization
dual convection
Energy transfer
FEM
Finite element method
Linear functions
Lorentz force
magnetic field
Magnetohydrodynamics
Polynomials
Pressure distribution
Viscoelastic liquids
wavy cavity
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Summary:This study focuses on the mathematical modeling of dual convection energy transfer in a wavy cavity. The non-Newtonian Casson fluid model is envisioned as being capable of describing characteristics of viscoelastic liquids. An inclined magnetic field that is governed by Lorentz force is also taken into consideration. The Galerikin discretization is used to solve the leading formulation numerically. Quadratic polynomials interpolate momentum, concentration, and temperature equations, while linear functions imitate pressure distribution. The discretized version of the domain is analyzed with regard to the rectangular and triangular elements. The Newton's technique and PARDISO, factorization-based nonlinear solver, are utilized to resolve the nonlinearly discretized system. Patterns of streamlines, isoconcentration, and isothermal contours are depicted in order to examine the variation in the inflow distributions.
ISSN:1040-7790
1521-0626
DOI:10.1080/10407790.2023.2260094