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多孔介质期刊
影响因子: 1.061 5年影响因子: 1.151 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

多孔介质期刊

DOI: 10.1615/JPorMedia.v19.i3.10
pages 189-203

FINITE ELEMENT SIMULATION OF UNSTEADY THIRD−GRADE FLOW WITH TEMPERATURE−DEPENDENT FLUID PROPERTIES

Minakshi Poonia
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India
Rama Bhargava
Department of Mathematics, Indian Institute of Technology, Roorkee-247667, India

ABSTRACT

In the present study, a numerical solution of an unsteady boundary layer flow of laminar, free convective, incompressible third-grade fluid is carried out past an infinite vertical porous plate with the temperature-dependent fluid properties (viscosity and thermal conductivity) by taking into account the effect of viscous dissipation. The partial differential equations governing the problem are reduced into the nondimensional, nonlinear coupled ordinary differential equations by using suitable similarity transformations. The system is then solved numerically by Galerkin finite element method. The results demonstrating the effects of various pertinent parameters like Grashof number, Prandtl number, Eckert number, third-grade parameters, viscosity variation parameter, thermal conductivity variation parameter on dimensionless velocity, and temperature distributions are studied in detail through graphs and tables. The Nusselt number is observed to be depressed with increasing values of Grashof number and Prandtl number. The study has important applications in lubrication theory and cooling of high-power electronic devices as in the case of nuclear reactors, heat exchangers, power generators, and transformers to increase the trustworthiness of a system as it removes high heat loads from these systems.


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