stability analysis

Double solutions and stability analysis of slip flow past a stretching/shrinking sheet in a carbon nanotube

A stagnation point flow past a stretching/shrinking surface in carbon nanotubes (CNTs) with slip effects is investigated in this paper.  Applying transformations of similarity, the governing partial differential equations are modified to the nonlinear ordinary differential equations.  Afterward, they are numerically solved in Matlab by the bvp4c solver.  The single-wall CNTs and multi-wall CNTs are used, including water as a base fluid.  The effects of the flow parameters are investigated, shown in the form of graphs, and physically evaluated for the dimensionless velocity, temperature, ski

Radiative flow of magnetic nanofluids over a moving surface with convective boundary condition

The influence of convective boundary conditions and heat radiation on magnetic nanofluids (MNFs) flowing through a permeable moving plate is investigated numerically in this study.  The governing partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) using suitable similarity variables.  The ODEs are solved by implementing the built-in solver in Matlab called bvp4c.  The stability analysis has supported our initial presumption that only the first solution is stable.  The thermal performance between cobalt ferrite nanofluid and manganese-zinc ferrit

A fractional-order model for drinking alcohol behaviour leading to road accidents and violence

In this paper, we propose a new fractional-order model of alcohol drinking involving the Caputo derivative and six groups of individuals.  We introduce road accidents and violence related to alcohol consumption as separate classes to highlight the role of alcoholism in the aggressive and risky behaviour of heavy drinkers.  We show the existence and uniqueness of the non-negative solutions, and we determine the basic reproduction number $R_{0}$.  The sensitivity analysis of the model parameters is performed to characterize the important parameters that have the most effe

Robust Stability of Fractional Electromechanical Systems

The engineering methodology for determining robust stability for electromechanical systems (EMS), described by fractional order models, has been developed in this paper. Dynamic EMS described by transfer functions with fractional characteristic polynomial with three terms, have been investigated. The stability of such systems has been analysed by means of applying Riemann complex plane.