Statistical and numerical analysis of MHD nanofluid (TiO<sub>2</sub>/EG) flow on a nonlinear curved stretching surface with heat source: A RSM approach
Abhishek Sharma, Ram Prakash Sharma
Abstract
Abstract Many applications in science and engineering use the idea of MHD nanofluid flow past a nonlinear curved stretching surface. Particularly in the development and production of coatings for solar cells, fiber sheets, wires, and optical fibers. From the perspective of such applications, the major objective of existing research is to study the titanium oxide/ethylene glycol (TiO 2 /EG) nanofluid flow past a nonlinear curved elongating surface in the occurrence of a magnetic field and heat source. In this study, nonlinear coupled partial differential equations with no‐slip and convective boundary constraints have been used to construct the mathematical model that describes the fluid flow. After utilizing the similarity variables, the nondimensional form of equations is approximated by the Runge–Kutta method combined with the Newton iteration scheme. Further, the novelty of the study lies in employing response surface methodology (RSM) to optimize the significance of important factors, which are most likely the Biot number, volume fraction, and the magnetic parameter that impact heat transfer characteristics. This approach facilitates the development of ideal operating conditions for improved performance. In summary, this examination finds that as the volume fraction concentration increases, the shear rate progressively increases, and with a higher Biot number, the heat transfer rate also increases.