Aplicação da técnica da transformada integral generalizada em escoamentos em canais considerando efeitos magnetohidrodinâmicos
The present study proposes the development of hybrid solutions to the transient Hartmann flow problem with heat transfer of an electrically conducting and newtonian fluid subjected to a constant magnetic field. The Generalized Integral Transform Technique is employed to analyze the influence of H...
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Formato: | Dissertação |
Idioma: | por |
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Universidade Federal do Rio Grande do Norte
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Endereço do item: | https://repositorio.ufrn.br/jspui/handle/123456789/19291 |
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Resumo: | The present study proposes the development of hybrid solutions to the transient
Hartmann flow problem with heat transfer of an electrically conducting and newtonian
fluid subjected to a constant magnetic field. The Generalized Integral Transform
Technique is employed to analyze the influence of Hall and ion-slip effects, as well as the
presence of solid particles on flow behavior, which is maintained by a constant or
exponential-decaying gradient pressure. A transverse flow normal to the walls can also
occurs, so that plates can be both porous. Additionally, a movement of the upper plate in
the longitudinal direction can be considered. Here, it is assumed that the magnetic field is
constant, being not affected by the flow, so that only an one-way interaction between the
flow and the magnetic field is studied. Temperature-dependent transport properties, such as
viscosity, thermal and electrical conductivity, can be considered too. Hybrid results are
obtained and compared to other numerical results for the velocity and temperature fields of
flow and solid particles as function of the main dimensionless governing parameters,
namely, Reynolds number, Hartmann number, Hall, Ion-slip and concentration of solid
particles. Convergence analyses are carried out for the main potentials in order to illustrate
the consistency of the technique (GITT) and its use for purposes of benchmarking in the
area of heat and fluid flow. |
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