Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (2): 177-188.doi: https://doi.org/10.1007/s10483-013-1662-6

• • 上一篇    下一篇

Convective transport of nanoparticles in multi-layer fluid flow

K. VAJRAVELU1  K.V.PRASAD2  S. ABBASBANDY3   

  1. 1. Department of Mathematics, University of Central Florida, Orlando, Florida 32816, U. S.A.;
    2. Department of Mathematics, Vijayanagra Sri Krishnadevaraya University, Bellary 583104, Karnataka, India;
    3. Department of Applied Mathematics, Imam Khomeini International University, Ghazvin 34149-16818, Iran
  • 收稿日期:2011-11-01 修回日期:2012-08-03 出版日期:2013-02-03 发布日期:2013-01-22
  • 通讯作者: S. ABBASBANDY, Professor, Ph.D., E-mail: abbasbandy@yahoo.com E-mail:zahidiqbalqau@yahoo.com

Convective transport of nanoparticles in multi-layer fluid flow

 K. VAJRAVELU1,  K.V.PRASAD2,  S. ABBASBANDY3   

  1. 1. Department of Mathematics, University of Central Florida, Orlando, Florida 32816, U. S.A.;
    2. Department of Mathematics, Vijayanagra Sri Krishnadevaraya University, Bellary 583104, Karnataka, India;
    3. Department of Applied Mathematics, Imam Khomeini International University, Ghazvin 34149-16818, Iran
  • Received:2011-11-01 Revised:2012-08-03 Online:2013-02-03 Published:2013-01-22
  • Contact: S. ABBASBANDY, Professor, Ph.D., E-mail: abbasbandy@yahoo.com E-mail:zahidiqbalqau@yahoo.com

摘要: Technologically, multi-layer fluid models are important in understanding fluid-fluid or fluid-nanoparticle interactions and their effects on flow and heat transfer characteristics. However, to the best of the authors’ knowledge, little attention has been paid to the study of three-layer fluid models with nanofluids. Therefore, a three-layer fluid flow model with nanofluids is formulated in this paper. The governing coupled nonlinear differential equations of the problem are non-dimensionalized by using appropriate fundamental quantities. The resulting multi-point boundary value problem is solved numerically by quasi-linearization and Richardson’s extrapolation with modified boundary conditions. The effects of the model parameters on the flow and heat transfer are obtained and analyzed. The results show that an increase in the nanoparticle concentration in the base fluid can modify the fluid-velocity at the interface of the two fluids and reduce the shear not only at the surface of the clear fluid but also at the interface between them.
That is, nanofluids play a vital role in modifying the flow phenomena. Therefore, one can use nanofluids to obtain the desired qualities for the multi-fluid flow and heat transfer characteristics.

关键词: multi-layer fluid model, interaction, nanofluid

Abstract: Technologically, multi-layer fluid models are important in understanding fluid-fluid or fluid-nanoparticle interactions and their effects on flow and heat transfer characteristics. However, to the best of the authors’ knowledge, little attention has been paid to the study of three-layer fluid models with nanofluids. Therefore, a three-layer fluid flow model with nanofluids is formulated in this paper. The governing coupled nonlinear differential equations of the problem are non-dimensionalized by using appropriate fundamental quantities. The resulting multi-point boundary value problem is solved numerically by quasi-linearization and Richardson’s extrapolation with modified boundary conditions. The effects of the model parameters on the flow and heat transfer are obtained and analyzed. The results show that an increase in the nanoparticle concentration in the base fluid can modify the fluid-velocity at the interface of the two fluids and reduce the shear not only at the surface of the clear fluid but also at the interface between them.
That is, nanofluids play a vital role in modifying the flow phenomena. Therefore, one can use nanofluids to obtain the desired qualities for the multi-fluid flow and heat transfer characteristics.

Key words: buoyant jets, pressure field, axial velocity, divided regions, velocity field, multi-layer fluid model, interaction, nanofluid

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals