Dual solutions of a micropolar nanofluid flow with radiative heat mass transfer over stretching/shrinking sheet using spectral quasilinearization method

Abstract

Purpose The purpose of this paper is to focus on the application of Chebyshev spectral collocation methodology with Gauss Lobatto grid points to micropolar fluid over a stretching or shrinking surface. Radiation, thermophoresis and nanoparticle Brownian motion are considered. The results have attainable scientific and technological applications in systems involving stretchable materials. Design/methodology/approach The model equations governing the flow are transformed into non-linear ordinary differential equations which are then reworked into linear form using the Newton-based quasilinearization method (SQLM). Spectral collocation is then used to solve the resulting linearised system of equations. Findings The validity of the model is established using error analysis. The velocity, temperature, micro-rotation, skin friction and couple stress parameters are conferred diagrammatically and analysed in detail. Originality/value The study obtains numerical explanations for rapidly convergent solutions using the spectral quasilinearization method. Convergence of the numerical solutions was monitored using the residual error analysis. The influence of radiation, heat and mass parameters on the flow are depicted graphically and analysed. The study is an extension on the work by Zheng et al. (2012) and therefore the novelty is that the authors tend to take into account nanoparticles, Brownian motion and thermophoresis in the flow of a micropolar fluid.

Stability Analysis and Dual Solutions of Micropolar Nanofluid over the Inclined Stretching/Shrinking Surface with Convective Boundary Condition

“…However, they did not perform a stability analysis. Dual solutions, without performing the stability analysis, of micropolar nanofluid over the shrinking/stretching surface was found by Magodora et al [23] in the presence of thermal effect. Triple solutions of micropolar nanofluid over the shrinking surface with the effect of the velocity slip was obtained by Ali et al [24] in which they performed the analysis of stability in order to determine the stable solution.…”

Effect of Viscous Dissipation in Heat Transfer of MHD Flow of Micropolar Fluid Partial Slip Conditions: Dual Solutions and Stability Analysis

“…It is worth to note that the focus of all the above-mentioned studies is only in a single solution. Few related studies of micropolar fluid can be seen in these articles in which authors found multiple solutions successfully [23][24][25][26][27]. It has been concluded from the vast survey of published literature that the multiple solutions of micropolar fluid with the effect of viscous dissipation, thermal radiation and slip effect has not been studied so far.…”

MHD boundary layer heat and mass transfer flow of nanofluid through porous media over inclined plate with chemical reaction

“…Hussain et al (2017) perceived entropy generation analysis on flow and heat transfer characteristics of nanofluid inside a cavity by considering an adiabatic obstacle. Sreedevi et al (2017a) (Rashed et al, 2019;Magodora et al, 2019;Sohail et al, 2019;Nguyen et al, 2020;Zaib et al, 2020;Hussain et al, 2020) deliberated augmentation in heat transfer of different nanofluids over various geometries.…”