Stability Analysis of The Stagnation-Point Flow and Heat Transfer Over a Shrinking Sheet in Nanofluid in The Presence of MHD and Thermal Radiation

Abstract

Recent developments in the field of fluid dynamics have led to a new interest in stability analysis. The numerical solution obtained from the problems of the flow at the stagnation point, as well as the heat transfer with MHD and thermal radiation effects over a shrinking sheet, is used to carry out a stability analysis. The flow of this problem is considered in nanofluids and Buongiorno's model is employed. The boundary layer equation is obtained by reducing the governing equations to an ordinary differential equation. Partial differential equations are converted to ordinary differential equations using a suitable similarity transformation. The bvp4c simulation on Matlab is then used to solve ordinary differential equations. According to the numerical data, the dual solutions occur in a specific range of α. The parameter α refers to the stretching/shrinking where shrinking (less than 0) is the main reason the dual solution exists. The stability analysis is presented graphically and in tabular form to prove that there are two solutions to the problem and only one of them is stable. As a result, our research shows that the solution is only stable in the first solution, but not in the second.

Investigating the Impact of Magnetohydrodynamic (MHD) and Radiation on the Casson-Based Nanofluid Flow over a Linear Stretching Sheet in a Porous Medium with Heat Source or Sink

“…Jakati et al, [7] examined the effect of Brownian motion and thermophoresis on Maxwell nanofluid flow across a linearly stretched sheet under the influence of an oblique external magnetic field. Ismail et al, [8] conducted a stability analysis, which is performed using the numerical solution to the flow at the stagnation point, heat transfer with MHD, and thermal radiation effects across a shrinking sheet. Vedavathi et al, [9,10] described entropy analysis of thermal convection flow of a nanofluid via inverted cone with suction/injection in a magnetohydrodynamic (MHD) system and Buongiorno's model is used, taking into account Brownian motion and thermophoresis effects.…”

An Exact Solution of MHD Hybrid Nanofluid over a Stretching Surface Embedded in Porous Medium in the Presence of Thermal Radiation and Slip with Suction

“…Stability analysis of stagnation-point flow in a nanofluid through a stretching or shrinking sheet in the presence of second-order slip, soret and dufour was studied by Najib et al, [15]. Recently, Ismail et al, [16] came forward to investigate the with MHD and thermal radiation.…”