Numerical exploration of heat and mass transport for the flow of nanofluid subject to Hall and ion slip effects

Abstract

Purpose

This paper addresses the three-dimensional flow of viscous nanofluid bounded by two plates. The lower plate stretches while the upper plate remains stationary. The fluid is electrically conducting in the presence of an applied magnetic field. In addition, the Hall, ion slip and Joule heating effects are retained. Governing equations for the considered physical happening are modeled under the phenomenon of boundary layer analysis.

Design/methodology/approach

Both analytical and numerical solutions for the resulting nonlinear system are derived. Numerical solutions have been presented by using bvp4c and NDSolve techniques. The homotopy analysis method is utilized for the development of convergent analytical solutions. A comparative study for the presented solutions is made. An excellent agreement between analytical and numerical solutions is noticed.

Findings

The dimensionless velocities, temperature and concentration are examined physically by two-dimensional plots, stream plot and tabular values. It is observed that Hall and ion slip parameters reduce the velocity field and temperature profile increases for the mounting values of the Eckert number.

Originality/value

This manuscript contains the novel contents which comprise the Hall and ion slip effects for the transportation of heat and mass for the flow of viscous nanofluid.

Citation

Naz, R., Sohail, M. and Hayat, T. (2020), "Numerical exploration of heat and mass transport for the flow of nanofluid subject to Hall and ion slip effects", Multidiscipline Modeling in Materials and Structures, Vol. 16 No. 5, pp. 951-965. https://doi.org/10.1108/MMMS-07-2019-0125