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

共 50 条

[41] Stationary marangoni instability in a liquid layer with temperature-dependent viscosity and deformable free surface
KalitzovaKurteva, PG
Slavtchev, SG
Kurtev, IA
[J]. MICROGRAVITY SCIENCE AND TECHNOLOGY, 1996, 9 (04) : 257 - 263
[42] Oscillatory Marangoni instability in a liquid layer with temperature-dependent viscosity and deformable free surface
Slavtchev, SG
Kalitzova-Kurteva, PG
Kurtev, IA
[J]. MICROGRAVITY SCIENCE AND TECHNOLOGY, 1998, 11 (01) : 29 - 34
[43] Improved 1.5-sided model for the weakly nonlinear study of Benard-Marangoni instabilities in an evaporating liquid layer
Margerit, J
Dondlinger, M
Dauby, PC
[J]. JOURNAL OF COLLOID AND INTERFACE SCIENCE, 2005, 290 (01) : 220 - 230
[44] On effect of non-uniform basic temperature gradient on Benard-Marangoni convection in micropolar fluid
Idris, R.
Othman, H.
Hashim, I.
[J]. INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2009, 36 (03) : 255 - 258
[45] Lattice Boltzmann simulation of double diffusive natural convection in heterogeneously porous media of a fluid with temperature-dependent viscosity
He, Boyu
Lu, Shihua
Gao, Dongyan
Chen, Weiwei
Lin, Fujian
[J]. CHINESE JOURNAL OF PHYSICS, 2020, 63 : 186 - 200
[46] Asymptotic analysis of boundary layer flow of a fluid with temperature-dependent viscosity
Amtout, Tarik
Cheikhi, Adil
Er-Riani, Mustapha
Lahrouz, Aadil
El Jarroudi, Mustapha
Settati, Adil
[J]. NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 2024, 85 (03) : 400 - 421
[47] The onset of double diffusive convection in a binary viscoelastic fluid saturated anisotropic porous layer
Malashetty, M. S.
Tan, Wenchang
Swamy, Mahantesh
[J]. PHYSICS OF FLUIDS, 2009, 21 (08)
[48] THE EFFECTS OF TEMPERATURE-DEPENDENT VISCOSITY AND THE INSTABILITIES IN CONVECTION-ROLLS OF A LAYER OF FLUID-SATURATED POROUS-MEDIUM
OR, AC
[J]. JOURNAL OF FLUID MECHANICS, 1989, 206 : 497 - 515
[49] Absolute and convective instabilities in the incompressible boundary layer on a rotating disk with temperature-dependent viscosity
Jasmine, HA
Gajjar, JSB
[J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2005, 48 (05) : 1022 - 1037
[50] The onset of buoyancy-driven convection in fluid layers with temperature-dependent viscosity
Kim, MC
Choi, CK
[J]. PHYSICS OF THE EARTH AND PLANETARY INTERIORS, 2006, 155 (1-2) : 42 - 47

← 1 2 3 4 5 →