Enhanced heat transfer rate analysis with Ohmic heating, and multiple slips over exponentially stretching/shrinking plate on MHD hybrid nanofluid: Response surface methodology

The proposed investigation leads toward the discussion on the dissipative heat on the conducting flow of hybrid nanofluid over an exponentially expanding/contracting plate. The sheet is considered to be permeable therefore, the impact of suction/injection is vital throughout the discussion. The model of hybrid nanofluid is adopted with various thermophysical parameters likely the conductivity and the viscosity properties. By employing valid similarity transformations, the governing set of equations with boundary conditions is converted to the set of non-linear ODEs. The reduced system of equations is explicated using the bvp4c solver in MATLAB. The numerical outcomes are deliberated and graphically presented in momentum and temperature profiles. The enhancement of the nanofluid heat transfer rate is achieved through the utilization of Response Surface Methodology (RSM). Further, the stability analysis is presented to validate the convergence of the set of time-dependent profiles for the various contributing constraints. From RSM, the combination of a high level of $$Ec$$, high level of $$M$$ are conducive to good heat transfer. Also, high level of $$M$$ and low level of slip parameter value ($${D}_1$$), high level of $$Ec$$ and low level $${D}_1$$ emerges as the most conducive operating condition that would maximize the rate of transportation of heat.