On the numerical solution of a rising sphere in a Newtonian fluid with temperature-dependent viscosity
DOI:
https://doi.org/10.17268/sel.mat.2019.02.1Keywords:
Newtonian fluid, asymptotic structure, element finite method, contact surfaceAbstract
In this work, we present some numerical results about the problem of a rising hot solid sphere immersed in a Newtonian fluid which viscosity depends on the temperature. The model formulated to solve the problem considers two dimensionless parameters: The Peclet number, Pe and a parameter related with the viscosity, e. Small and large variations on e lead to interesting results segregated into two regimes which exhibit an asymptotic structure.
To carry out the computations to solve the proposed model, the element finite method was used along with a non-slip boundary condition for the contact surface between the sphere and the fluid and the results obtained were compared to those shown recently in papers related wherein contact surface has a slip-boundary condition prescribed.References
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