Rotating Al₂O₃-H₂O nanofluid flow and heat transfer with internal heating, velocity slip and different shapes of nanoparticles

Abstract

Purpose

This research numerically investigates the steady laminar 3D forced convective flow and heat transfer of a rotating Al₂O₃/water nanofluid past a linearly stretching sheet with the help of a novel two-phase analysis method by considering different nanoparticle shapes as well as velocity slip boundary condition plus internal heating.

Design/methodology/approach

The authors’ novel two-phase analysis method implements the Jang and Choi model for the effective thermal conductivity and incorporates it with Tiwari–Das mathematical model. Besides, the shape factors of the nanoparticles have also taken into account using the Timofeeva model for effective dynamic viscosity. The Prandtl number of the base fluid is kept constant at 6.2 and the temperature of the nanoparticles as well as the base fluid molecules is assumed to be 300 K. In short, after using the similarity transformation method, the obtained dimensionless nonlinear ODEs are numerically solved using the bvp4c built-in function from MATLAB. The governing parameters are solid volume concentration, rotation parameter, velocity slip parameter, heat generation or absorption parameter and Prandtl number of the base fluid.

Findings

It is argued that when the cylindrical shape for alumina is chosen, the maximum values for skin friction coefficients and local Nusselt number have been obtained among the other shapes. Further, the velocity slip enhancement in this problem will lead to a drastic reduction in the foregoing quantities of engineering interest.

Originality/value

To the best of the authors’ knowledge, this research is a novel attitude to two-phase nanofluid model.

Citation

Dinarvand, S. and Nademi Rostami, M. (2021), "Rotating Al₂O₃-H₂O nanofluid flow and heat transfer with internal heating, velocity slip and different shapes of nanoparticles", Multidiscipline Modeling in Materials and Structures, Vol. 17 No. 2, pp. 401-417. https://doi.org/10.1108/MMMS-01-2020-0017