Study of Natural Convection MHD Nanofluid by Means of Single and Multi-Walled Carbon Nanotubes Suspended in a Salt-Water Solution

Author

Ellahi, Rahmat ; Hassan, Mohsin ; Zeeshan, Ahmad

Author_Institution

Dept. of Math. & Stat., Int. Islamic Univ., Islamabad, Pakistan

Volume

14

Issue

4

fYear

2015

fDate

Jul-15

Firstpage

726

Lastpage

734

Abstract

The natural convection boundary layer flow along a vertical cone with variable wall temperature under the presence of magnetohydrodynamics is investigated. The mathematical model based on nanolayer single and multi-wall carbon nanotubes in salt-water solutions and interfacial layers is considered. The nonlinear partial differential equations are analytically solved by means of Mathematica package BVPh 2.0 based on the homotopy analysis method. Flow behavior under altering involving physical parameters such as: Eckert number, Prandtl number, power law index, and nanoparticle volume fraction on the velocity and the temperature profiles is discussed and explained through graphs and tables. The values of Skin friction and Nusselt number are computed and examined.

Keywords

boundary layers; carbon nanotubes; flow simulation; friction; magnetohydrodynamics; nanofluidics; natural convection; nonlinear differential equations; partial differential equations; two-phase flow; C; Eckert number; Mathematica package BVPh 2.0; Nusselt number; Prandtl number; homotopy analysis method; interfacial layers; magnetohydrodynamics; mathematical model; nanolayer multiwalled carbon nanotube; nanolayer single walled carbon nanotube; nanoparticle volume fraction; natural convection MHD nanofluid; natural convection boundary layer flow; nonlinear partial differential equations; physical parameters; power law index; salt-water solution; skin friction; temperature profile; variable wall temperature; velocity profile; vertical cone; Carbon nanotubes; Conductivity; Electron tubes; Fluids; Friction; Heat transfer; Analytical solutions; Natural convection; analytical solutions; interfacial layer; nanofluid; natural convection; nonlinear coupled equations; variable Magnetohydrodynamics; variable magnetohydrodynamics; wall temperature;

fLanguage

English

Journal_Title

Nanotechnology, IEEE Transactions on

Publisher

ieee

ISSN

1536-125X

Type

jour

DOI

10.1109/TNANO.2015.2435899

Filename

7114304