Transient Boundary Layer Laminar Free Convective Flow of a Nanofluid Over a Vertical Cone/Plate

被引：0

作者：

Buddakkagari V. ^{[1
]}

Kumar M. ^{[1
]}

机构：

[1] Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad

来源：

International Journal of Applied and Computational Mathematics | 2015年 / 1卷 / 3期

关键词：

Brownian motion; Cone; Lewis number; Nanofluid; Nusselt number; Plate; Thermophoresis;

D O I：

10.1007/s40819-015-0027-9

中图分类号：

学科分类号：

摘要：

Two-dimensional transient hydrodynamic boundary layer flow of incompressible Newtonian nanofluid past a cone and plate with constant boundary conditions is investigated numerically. The Newtonian nanofluid model incorporates the effects of Brownian motion and thermophoresis. In order to solve the transformed unsteady, nonlinear coupled boundary layer equations numerically under the conditions, an implicit finite difference scheme of Crank–Nicolson type has been employed. Numerical results obtained for the velocity, temperature and nanoparticle concentration distributions, as well as the skin friction, local Nusselt number and local Sherwood number for several values of the parameters, namely the buoyancy ratio parameter, Prandtl number, Lewis number and nanofluid parameters. The dependency of the thermophysical properties has been discussed on these parameters. The results shown that the Brownian motion parameter increased, the local skin friction decreased while the local Nusselt number and local Sherwood number increased. However, they both decreased as the thermophoresis parameter increased. The approach used in optimizing the transient boundary layer heat transfer of nanofluid problems. The use of nanoparticles improve the heat transfer performance of the base fluids having poor thermophysical properties which are not able to meet the cooling rate of modern engineering equipments. © 2015, Springer India Pvt. Ltd.

引用

页码：427 / 448

页数：21

共 21 条

[11]

Balla C.S., Naikoti K., Finite element analysis of magnetohydrodynamic transient free convection flow of nanofluid over a vertical cone with thermal radiation, Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanoengineering and Nanosystems, (2014)

[12]

Motsa S.S., Awad F.G., Khumalo M., Nonlinear nanofluid flow over heated vertical surface with sinusoidal wall temperature variations, abstract and applied analysis, 2014, (2014)

[13]

Pop I., Ingham B.D., Convective Heat Transfer: Mathematical and Computational Modelling of Viscous Fluids and Porous Media, (2001)

[14]

Incropera F.P., Dewitt D.P., Fundamentals of Heat and Mass Transfer, (2007)

[15]

Das S.K., Choi S.U., Wenhua Y., Pradeep T., Nanofluids: Science and Technology, (2008)

[16]

Minkowycz W.J., Sparrow E.M., Abraham J.P., Nanoparticle Heat Transfer and Fluid Flow (Advances in Numerical Heat Transfer: Computational and Physical Processes in Mechanics and Thermal Sciences), 4, (2013)

[17]

Chamkha A.J., Coupled heat and mass transfer by natural convection about a truncated cone in the presence of magnetic field and radiation effects, Numer. Heat Transf. A, 39, 5, pp. 511-530, (2001)

[18]

Rushi Kumar B., Sivaraj R., MHD Viscoelastic fluid non-Darcy flow over a vertical cone and a plate, Int. Commun. Heat Mass Transf., 40, pp. 1-6, (2013)

[19]

Crank J., Nicolson P., A practical method for numerical evaluation of solutions of partial differential equations of the heat conduction type, Proc. Camb. Phil. Soc., 43, pp. 50-67, (1947)

[20]

Vasu B., Prasad V.R., Radiation and mass transfer effects on transient free convection flow of a dissipative fluid past semi-infinite vertical plate with uniform heat and mass flux, J. Appl. Fluid Mech., 4, 1, pp. 15-26, (2011)

← 1 2 3 →