ONSET OF BENARD-MARANGONI INSTABILITIES IN A DOUBLE DIFFUSIVE BINARY FLUID LAYER WITH TEMPERATURE-DEPENDENT VISCOSITY

被引：1

作者：

Abidin, Nurul Hafizah Zainal ^{[1
,2
]}

Mokhtar, Nor Fadzillah Mohd ^{[1
]}

Majid, Zanariah Abdul ^{[1
,3
]}

机构：

[1] Univ Putra Malaysia, Inst Math Res INSPEM, Lab Computat Sci & Math Phys, Serdang 43400, Selangor, Malaysia

[2] Univ Teknol MARA, Fac Comp & Math Sci, Perak Branch, Tapah Campus,Tapah Rd, Perak 35400, Malaysia

[3] Univ Putra Malaysia, Fac Sci, Dept Math, Serdang 43400, Selangor, Malaysia

来源：

NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION | 2019年 / 9卷 / 04期

关键词：

temperature-dependent viscosity; binary fluid; double diffusive; Galerkin method; convection; VARIABLE-VISCOSITY; THERMAL-CONVECTION; LIQUID;

D O I：

10.3934/naco.2019040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The effect of temperature-dependent viscosity in a horizontal double diffusive binary fluid layer is investigated. When the layer is heated from below, the convection of Benard-Marangoni will start to exists. Linear stability analysis is performed and the eigenvalues from few cases of boundary conditions were obtained. Galerkin method were used to solve the numerical calculation and marginal stability curve is obtained. Results shows that an increase of temperature-dependent viscosity will destabilized the system. The impact of double diffusive coefficients are also revealed. It is found that the effect of Soret parameter exhibits destabilizing reaction on the system while an opposite response is noted with an increase of Dufour parameter.

引用

页码：413 / 421

页数：9

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