Gyrotactic micro-organism flow of Maxwell nanofluid between two parallel plates

The present study explores incompressible, steady power law nanoliquid comprising gyrotactic microorganisms flow across parallel plates with energy transfer. In which only one plate is moving concerning another at a time. Nonlinear partial differential equations have been used to model the problem. Using Liao's transformation, the framework of PDEs is simplified to a system of Ordinary Differential Equations (ODEs). The problem is numerically solved using the parametric continuation method (PCM). The obtained results are compared to the boundary value solver (bvp4c) method for validity reasons. It has been observed that both the results are in best settlement with each other. The temperature, velocity, concentration and microorganism profile trend versus several physical constraints are presented graphically and briefly discussed. The velocity profile shows positive response versus the rising values of buoyancy convection parameters. While the velocity reduces with the increasing effect of magnetic field, because magnetic impact generates Lorentz force, which reduces the fluid velocity.

Automated summary

This study investigates the flow of incompressible, steady power law nanoliquid containing gyrotactic microorganisms between parallel plates with energy transfer. The problem is modeled using nonlinear partial differential equations and simplified to a system of Ordinary Differential Equations with Liao's transformation. Numerical solutions were obtained using the parametric continuation method and validated against the boundary value solver method, showing good agreement. The results presented graphical profiles of temperature, velocity, concentration, and microorganism distribution, highlighting the impact of physical constraints on the system behavior.