Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition

• Published in: International journal of thermal sciences Vol. 50; no. 7; pp. 1326 - 1332
• Main Authors: Makinde, O.D., Aziz, A.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Masson SAS 01-07-2011; Elsevier
• Subjects: Applied sciences; Boundary layer flow; Brownian motion; Chemistry; Colloidal state and disperse state; Condensed matter: structure, mechanical and thermal properties; Convective boundary condition; Energy; Energy. Thermal use of fuels; Exact sciences and technology; General and physical chemistry; Heat transfer; Heating; Lewis numbers; Mathematical models; Nanocomposites; Nanofluid; Nanofluids; Nanomaterials; Nanostructure; Physical and chemical studies. Granulometry. Electrokinetic phenomena; Physics; Stretching sheet; Theoretical studies. Data and constants. Metering; Thermal properties of condensed matter; Thermal properties of small particles, nanocrystals, nanotubes; Thermophoresis; Stretching sheet; Convective boundary condition; Nanofluid; Boundary layer flow; Temperature distribution; Nanoparticle; Velocity distribution; Boundary condition; Modeling; Brownian motion; Numerical simulation; Thermophoresis; Stretching; Heat transfer; Boundary layer; Concentration distribution
• ISSN: 1290-0729; 1778-4166
• DOI: 10.1016/j.ijthermalsci.2011.02.019

The boundary layer flow induced in a nanofluid due to a linearly stretching sheet is studied numerically. The transport equations include the effects of Brownian motion and thermophoresis. Unlike the commonly employed thermal conditions of constant temperature or constant heat flux, the present study uses a convective heating boundary condition. The solutions for the temperature and nanoparticle concentration distributions depend on five parameters, Prandtl number
Pr, Lewis number
Le, the Brownian motion parameter
Nb, the thermophoresis parameter
Nt, and convection Biot number
Bi. Numerical results are presented both in tabular and graphical forms illustrating the effects of these parameters on thermal and concentration boundary layers. The thermal boundary layer thickens with a rise in the local temperature as the Brownian motion, thermophoresis, and convective heating each intensify. The effect of Lewis number on the temperature distribution is minimal. With the other parameters fixed, the local concentration of nanoparticles increases as the convection Biot number increases but decreases as the Lewis number increases. For fixed
Pr,
Le, and
Bi, the reduced Nusselt number decreases but the reduced Sherwood number increases as the Brownian motion and thermophoresis effects become stronger.