Convective transport in nanofluids: The stationary problem

被引：8

作者：

Baensch, Eberhard ^{[1
]}

Faghih-Naini, Sara ^{[2
]}

Morin, Pedro ^{[3
]}

机构：

[1] Univ Erlangen Nurnberg, Appl Math 3, Cauerstr 11, D-91058 Erlangen, Germany

[2] Univ Bayreuth, Sci Comp, Univ Str 30, D-95447 Bayreuth, Germany

[3] Univ Nacl Litoral, Fac Ingn Quim, Santiago del Estero 2829,S3000AOM, Santa Fe, Argentina

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 489卷 / 01期

关键词：

Nanofluid; Thermophoresis; Heat transfer; Energy estimate; Weak solution;

D O I：

10.1016/j.jmaa.2020.124151

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze the existence of solutions to the stationary problem from a mathematical model for convective transport in nanofluids including thermophoretic effects that is very similar to the celebrated model of Buongiorno [6]. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：19

共 15 条

[1]

Abels H., 2008, Diffuse Interface Models for Two-Phase Flows of Viscous Incompressible Fluids

[2] THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES [J].

Abels, Helmut ;

Garcke, Harald ;

Gruen, Guenther .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2012, 22 (03)

[3]

[Anonymous], 2010, GRADUATE STUDIES MAT

[4] A thermodynamically consistent model for convective transport in nanofluids: existence of weak solutions and fern computations [J].

Baensch, Eberhard .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 477 (01) :41-59

[5]

Bansch E., 2020, J HEAT TRANSF

[6]

Bird R.B., 2001, Transport Phenomena, Vsecond

[7] Convective transport in nanofluids [J].

Buongiorno, J .

JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2006, 128 (03) :240-250

[8]

Choi S.U. S., ASME INT MECH ENG C

[9] The motion of elements suspended in static liquids as claimed in the molecular kinetic theory of heat [J].

Einstein, A .

ANNALEN DER PHYSIK, 1905, 17 (08) :549-560

[10] POTENTIAL SPACE ESTIMATES FOR GREEN POTENTIALS IN CONVEX DOMAINS [J].

FROMM, SJ .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 119 (01) :225-233

← 1 2 →