Abstract This study presents the role of advancement in elevating the energy transmission in liquid passed over a microcantilever sensor domain enclosed in a compressed channel with the addition of three distinct nanoparticles. Materials with superior thermal attributes distributed over cantilever surface contains potential utilization in production of sheets made of plastics and fibers, maintenance of temperature during casting of metals, microprocessors cooling, photovoltaics, medicine therapies. To notice exclusive heat and mass exchange at the boundary, a Newtonian constraint is employed to inspect the transportation of species and thermal aspects. The physical aspects of the applied magnetic field are also considered. A framework is developed in view of nonlinear ordinary differential setup using similar transformations. To obtain solution of the coupled and highly nonlinear system, we have utilized MATLAB built in boundary value problem 4th order code (BVP4C). Furthermore, response surface approach is implemented to analyze relationship between the considered parametric factors and the response variable, which is skin friction in this case. The quality of fit for the empirical relation is evaluated from variance analysis table. Outcomes express that the coefficient of determination for wall drag coefficient is 100 %, signifying that the derived empirical relation exhibits an excellent fit.
Ullah et al. (2026) studied this question.