A revised Cattaneo-Christov micropolar viscoelastic nanofluid model with combined porosity and magnetic effects

doi:10.1007/s10483-020-2581-5

摘要/Abstract

摘要： The dynamics of non-Newtonian fluids along with nanoparticles is quite interesting with numerous industrial applications. The current predominately predictive modeling deals with the flow of the viscoelastic micropolar fluid in the presence of nanoparticles. A progressive amendment in the heat and concentration equations is made by exploiting the Cattaneo-Christov (C-C) heat and mass flux expressions. Besides, the thermal radiation effects are contributed in the energy equation and aspect of the radiation parameter, and the Prandtl number is specified by the one-parameter approach. The formulated expressions are converted to the dimensionless forms by relevant similarity functions. The analytical solutions to these expressions have been erected by the homotopy analysis method. The variations in physical quantities, including the velocity, the temperature, the effective local Nusselt number, the concentration of nanoparticles, and the local Sherwood number, have been observed under the influence of emerging parameters. The results have shown good accuracy compared with those of the existing literature.

关键词: micropolar viscoelastic fluid, nanoparticle, thermal radiation, CattaneoChristov (C-C) theory, porous medium

Abstract: The dynamics of non-Newtonian fluids along with nanoparticles is quite interesting with numerous industrial applications. The current predominately predictive modeling deals with the flow of the viscoelastic micropolar fluid in the presence of nanoparticles. A progressive amendment in the heat and concentration equations is made by exploiting the Cattaneo-Christov (C-C) heat and mass flux expressions. Besides, the thermal radiation effects are contributed in the energy equation and aspect of the radiation parameter, and the Prandtl number is specified by the one-parameter approach. The formulated expressions are converted to the dimensionless forms by relevant similarity functions. The analytical solutions to these expressions have been erected by the homotopy analysis method. The variations in physical quantities, including the velocity, the temperature, the effective local Nusselt number, the concentration of nanoparticles, and the local Sherwood number, have been observed under the influence of emerging parameters. The results have shown good accuracy compared with those of the existing literature.

Key words: micropolar viscoelastic fluid, nanoparticle, thermal radiation, CattaneoChristov (C-C) theory, porous medium

中图分类号:

76Bxx
76Sxx

S. A. SHEHZAD, S. U. KHAN, Z. ABBAS, A. RAUF. A revised Cattaneo-Christov micropolar viscoelastic nanofluid model with combined porosity and magnetic effects[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(3): 521-532.

参考文献 36

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