The non-Newtonian characteristic of the fluid flow phenomena has several applications in industries, engineering gadgets, biomedical sectors, etc. Based upon the aforementioned role, the present work deals with the nanofluid flow of micropolar fluid through an elongated surface is investigated. Further, the influence of radiating heat due to thermal radiation, and nanoparticle concentration is presented which are vital for the heat transfer enhancement. However, the inclusion of homogenous as well as heterogeneous chemical reactions enriches the study. Additionally, carbon nanotube (CNT) nanoparticles such as “Single-Wall Carbon Nanotube (SWCNT) and Multi-Wall Carbon Nanotube (MWCNT)” nanoparticles are used in water to perform the behavior of different nanofluids. The designed model with dimensional form is developed by converting these to dimensionless forms with the help of similarity transformation rules. The finalized transformed equations are handled numerically with the help of the shooting-based Runge-Kutta-fourth-order technique in a MATLAB environment. The proposed study became novel due to the statistical analysis for optimizing heat transfer rate for several components using “Response Surface methodology” based on the “Central Composite Design” model. Further, the ANOVA (Analysis of Variance) test is carried out for the best-fit model which is beneficial for the regression analysis. The exact solution for the velocity profile using the proposed method is validated by comparing it with a previously published numerical result in some limited cases, and an excellent agreement is established. However, the observation shows that the particle concentration of both the CNT particles augments the axial velocity and fluid temperature whereas reverse impact is rendered for the angular velocity.
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