Algebraic solutions of flow and heat for some nanofluids over deformable and permeable surfaces

Abstract

Purpose

This paper aims to working out exact solutions for the boundary layer flow of some nanofluids over porous stretching/shrinking surfaces with different configurations. To serve to this aim, five types of nanoparticles together with the water as base fluid are under consideration, namely, Ag, Cu, CuO, Al₂O₃ and TiO₂.

Design/methodology/approach

The physical flow is affected by the presence of velocity slip as well as temperature jump conditions.

Findings

The knowledge on the influences of nanoparticle volume fraction on the practically significant parameters, such as the skin friction and the rate of heat transfer, for the above considered nanofluids, is easy to gain from the extracted explicit formulas.

Originality/value

Particularly, formulas clearly point that the heat transfer rate is not only dependent on the thermal conductivity of the material but it also highly relies on the heat capacitance as well as the density of the nanofluid under consideration.

Citation

Turkyilmazoglu, M. (2017), "Algebraic solutions of flow and heat for some nanofluids over deformable and permeable surfaces", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 27 No. 10, pp. 2259-2267. https://doi.org/10.1108/HFF-09-2016-0358