Parametric optimisation of entropy using sensitivity analysis and response surface methodology for the compressed flow of hybrid nanoliquid in a stretchable channel

Response surface methodology and sensitivity analysis are examined for the time-reliant compressed flow of hybrid nanofluid amid two parallel plates of the stretching channel. The response surface mechanism is envisaged for three different parameters, namely radiation parameter, Prandtl number and squeezing parameter. CuO and Al2O3 are the nanoparticles studied in the present examination with water as the base fluid. The melting heat phenomenon for the squeezed flow of the fluid in the channel is deliberated when the plates of the channel are susceptible to thermal radiation. The heat transfer phenomenon is contemplated on the basis of two models, namely the Hamilton-Crosser model and the Koo-Kleinstreuer-Li (KKL) model. An attempt is made to know which shape of the nanosized particles causes enrichment in the thermal conductivity. Entropy production and Bejan number are studied subsequently. Agraphical demonstration clearly shows the outcomes of the present analysis. Results disclose that velocity profile of the blade-shaped nanoparticles deplete by 2.45% compared to brick-shaped nanoparticles at the lower half and by 7.73% at the upper half of the channel. The temperature is the highest for blade-structured nanoparticles and lowest for brick-shaped nanoparticles. Increasing the radiation parameter depletes the temperature by 20.96% on the lower half and declines by 5.62% at the upper half of the channel. A comparison table is furnished to show the validation of the numerical method employed here. Pareto chart interprets 2.2 to be the critical point for the radiation parameter, Prandtl number and squeezing parameter. Radiation parameter shows negative impact on sensitivity at a low value of A and medium value of B while positive sensitivity is procured at a high value of A and medium value of B.