Chemical reaction influence on nanofluid flow in a porous layer: Stability analysis
An influence of exothermic chemical reaction on the natural thermo-solutal convection in a horizontal channel filled with sparsely packed permeable nanofluid is investigated. It is assumed that the fluid viscosity is different from the effective viscosity. The Brinkman approach is engaged for the...
| Published in: | International communications in heat and mass transfer Vol. 138. P. 106353 (1-11) |
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| Format: | Article |
| Language: | English |
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| Online Access: | http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:000997511 Перейти в каталог НБ ТГУ |
| Summary: | An influence of exothermic chemical reaction on the natural thermo-solutal convection in a horizontal channel filled with sparsely packed permeable nanofluid is investigated. It is assumed that the fluid viscosity is different from the effective viscosity. The Brinkman approach is engaged for the porous material, while the nanofluid approach features the Buongiorno model. To figure out the stability of the linear terms, normal mode analysis is opted. Galerkin technique is selected to work out the nonlinear terms. The Rayleigh number and its relevant wave numbers are assessed for all dimensionless parameters and exposed in the form of graphs. It is found that there is a critical value of Frank - Kamenetskii number at which the system is most unstable. It is found that increasing the viscosity ratio delays the onset of convection. With exothermic chemical reactions, the fluid in the porous medium is more prone to instability as compared to the case in which chemical reactions are absent. A critical value of Frank - Kamenetskii number is also identified at which the system is most unstable, and this is shown to be independent of both porous media parameter and the viscosity ratio. Applications of the study arise in nano-doped geothermal energy extraction, chemical and bio reactors and other engineering systems. |
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| Bibliography: | Библиогр.: 43 назв. |
| ISSN: | 0735-1933 |