Stability analysis of triple solutions of Casson nanofluid past on a vertical exponentially stretching/shrinking sheet

Abstract

The MHD two dimensional boundary layer flow of Casson nanofluid on an exponential stretching/shrinking sheet is considered with effects of radiation parameter, nanoparticles volume fractions (i.e. Fe3O4 and Ti6Al4V) and thermal convective boundary condition. The partial differential equations are transformed into ordinary differential equations by means of similarity transformations. The solutions of the transferred equations are achieved numerically with the help of shooting technique in Maple software. At different ranges of involved physical parameters, triple solutions are found. Therefore, stability analysis is performed by bvp4c in MATLAB to find the stable and physically reliable solution. Impacts of the physical parameter are presented through graphs and tables. Mainly, it is found that an increase in Casson and suction parameters decrease the corresponding velocity profiles while increase in Prandtl number, stretching/shrinking, and suction parameter decrease the temperature profiles. Furthermore, an increase in nanoparticles volumetric fraction, radiation and magnetic parameters as well as Biot number increase the temperature profiles and their thermal boundary layer thicknesses.

Thermal analysis for hydromagnetic flow of Darcy-Forchheimer hybrid nanofluid with velocity and temperature slip effects: Scrutinization of stability and dual solutions

“…To test the feasibility of achieved solutions, stability analysis is conducted using 3-stage 3a Lobatto formula developed in bvp4c in Matlab software, as done by Refs. 33–35 The stability analysis revels that the first solution is feasible and stable, as indicated by positive eigenvalues, indicating continuity in the solution loop. On the other hand, the second solution is unstable and infeasible, with negative eigenvalues indicating discontinuity in the solutions loop.…”

Influence of magnetic field-dependent viscosity on Casson-based nanofluid boundary layers: A comprehensive analysis using Lie group and spectral quasi-linearization method

“…The study of electrically conducting non-Newtonian fluids under the influence of a magnetic field holds significance in numerous engineering and technological domains. These applications span disciplines, including turbomachinery, nuclear reactor cooling, heat exchanger design, nuclear acceleration device assembly, and blood-flow measurement techniques [23] , [24] , [25] , [26] , [27] , [28] , [29] . For instance, Sulochana et al [30] conducted a comparative analysis of the three-dimensional (3D) flow of Newtonian and non-Newtonian MHD Casson nanofluids over a stretching sheet under convective boundary conditions.…”

A Novel Dynamical Analysis Method for Platelet Aggregation: From Traffic Flow to Blood Flow

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