Impact of generalized Fourier’s law and Fick’s law for MHD flow of Ag‒H₂O and TiO₂‒H₂O nanomaterials

Abstract

Purpose

The purpose of this paper is to investigate the effect of inclined magnetic field, variable viscosity and Cattaneo–Christov heat and mass flux theories on the steady MHD free convective boundary layer flow of viscous, incompressible and electrically conducting water-driven silver and titanium-oxide nanofluids over a vertical stretching sheet.

Design/methodology/approach

The boundary layer equations of momentum, energy and nanoparticle concentration are partial differential equations in nature, which are reduced to nonlinear ordinary differential equations by means of similarity transformations. The resulting nonlinear equations are solved analytically by means of optimal homotopy analysis method.

Findings

Assessments with numerical results are performed and are found to be in an excellent agreement. Numerical results of the skin friction factor, the local Nusselt number and the local Sherwood number are obtained through tables. The effects of various physical parameters on the velocity, temperature and nanoparticles fraction are incorporated through graphs. The study analyzes the efficiency of heat transfer of nanofluids in cooling plants and rubber sheets.

Originality/value

No research works have been conducted to evaluate the effects of various physical phenomena on the copper and titanium nanofluids flow.

Citation

Gupta, S., Kumar, D., Singh, J. and Gupta, S. (2019), "Impact of generalized Fourier’s law and Fick’s law for MHD flow of Ag‒H₂O and TiO₂‒H₂O nanomaterials", Multidiscipline Modeling in Materials and Structures, Vol. 15 No. 6, pp. 1075-1099. https://doi.org/10.1108/MMMS-12-2018-0216