Simulation of time-dependent radiative heat motion over a stretching/shrinking sheet of hybrid Nanofluid: Stability analysis for dual solutions

Abstract

The heat transfer characteristics for the flow of a time-dependent hybrid nanofluid with thermal radiation and source/sink over a stretching/shrinking sheet are examined in the current investigation. We have transformed the governing equations of the presented study into the similarity equations utilizing similarity variables. However, a numerical solution is obtained by using in-build MATLAB code bvp5c. The mass and energy profiles for diverse values of thermophysical parameters are studied together with their physical quantities. It is observed that dual solutions exist, that is, one is upper, and the other is lower branch solution for a definite choice of the unsteadiness parameter. Also, stability analysis is executed to determine the long-term stability of dual solutions, indicating that out of the two, only one is stable and the other is unstable. It is revealed that comparatively, the first solution shows stability, while the second solution shows instability. There is a considerable influence of second-order slip on the problem’s respective flow and heat transfer characteristics. Further, major outcomes also show the dimensionless frictional stress and the magnitude of conventional heat transfer enhancement with growing suction parameter values.

Irreversibility analysis and thermal radiative of Williamson (ZnO+MOS 2/C 3 H 8 O 2) hybrid nanofluid over a porous surface with a suction effect

“…Rauf et al [32] investigated a thermally radiated Bodewadt hybrid nanoliquid flow in three dimensions as it passes through a stationary stretchy disk. Using Cu and Al O 2 3 nanoparticles, Tinker et al [33] exhibited the numerical treatment of the flow of hybrid nanofluid across the stretching and shrinking sheet. In the presence of quadratic velocity, Zainal et al [34]…”

Thermal management in annular fin using ternary nanomaterials influenced by magneto-radiative phenomenon and natural convection

“…Thus, Pattanaik et al 15 reported a non-Newtonian model using the concept of thermal upthrust and noticed that the presence of upthrust forces have good velocity controlling properties. Some of the diverse studies regarding the performance of nano as well as hybrid nanoliquids under additional physical aspects like time dependent thermal flux, porous media effects and homogeneous/heterogeneous chemical species and their role in the transportation of thermal gradient discussed by different researchers (see Refs 16 – 18 .). Recently, Ikram et al 19 and Pattnaika et al 20 made attempt to investigate the heat transmission under zero mass flux, heat source, and MHD on single phase nanoliquid, and pressure gradient diminishes over a plan plate.…”

Magnetohydrodynamic forced convection in bidisperse porous medium: Analysis of flow and temperature distributions in a parallel‐plate channel

“…In the study conducted by Mishra et al, [34][35][36][37] the importance of magnetohydrodynamic (MHD) in various situations can also be explored. Furthermore, Mishra et al [38][39][40][41][42][43][44][45][46] have also investigated the influence of nanofluid on various problems and how nanofluid has its advantages in dealing with the heat transfer problem.…”