Velocity slip effect on magnetized casson nanofluid over shrinking/stretching cylinder: duality and stability analysis

Abstract

Abstract The aim of current research is to assess heat transfer characteristics over a cylinder undergoing stretching or shrinking using Cason Nanofluid. Additionally, dual solutions stability has been analyzed. The governing equations for the two-phase model consist of partial differential equations (PDEs), which are subsequently transformed into ordinary differential equations (ODEs) using the similarity transformation. The MATLAB software’s bvp4c solver is then used to numerically solve the transformed ODEs. The graph also shows the results of skin friction coefficient, heat transfer coefficient, and the Sherwood number. Furthermore, the validity of the current data is confirmed and shown to be in good agreement by comparing them to the existing literature. The variation of Casson nano fluid velocity, which is the variation of reduced skin friction coefficient ( Re x 1 / 2 ) C f , increases as the Casson fluid parameter β values increase. The critical values against β = 5 , 10 and ∞ are λ c 1 = − 1.1404 , λ c 2 = − 1.2501 and λ c 3 = − 1.4 116 respectively. The temperature variation indicates that the local Nusselt number variation − θ ′ ( 0 ) decreases as the curvature parameter γ values increase. The first solution is characterized by positive values of the smallest eigenvalues ε 1 > 0 , suggesting stability. Conversely, the second solution is associated with negative values of the smallest eigenvalues ε 1 < 0 , indicating instability. To identify the stable and physically feasible solution, a stability analysis is performed. Graphical analysis is used to examine the influence of relevant physical parameters on the profiles of temperature, concentration, velocity and momentum.