Thermal properties of Casson nanofluid with newly developed Reynolds model in moving and fixed frames of references

Abstract A detailed study is undertaken to elucidate the thermal transport and fluid dynamics characteristics of Casson nanofluid under the influence of magnetic field, employing a newly developed Reynolds model that is presented in stationary and relativistic frames of reference. The present novel flow problem has been examined with the involvement of the Reynolds nanofluid model, an innovative viscosity model, along with the Brinkman and Einstein nanofluid models. The present flow problem is examined in both stationary and moving frames of reference. The thermal analysis encompasses the impacts of radiative heating and absorption on the thermal behavior. The MATLAB bvp4c algorithm is utilized to obtain numerical solutions for ordinary differential equations. Regarding different parameters of the current problem, the three different viscosity models of nanofluid exhibit strong impacts on the velocity and thermal profiles. This novel study exhibits the result that the velocity field regarding both frames of reference portrays a declining behavior as Casson fluid parameter rise. The thermal radiation parameter corresponding to the dynamic frame of reference enhances the temperature distribution. The current framework is well‐suited for examining the heat transfer properties of nanofluid in sustainable power generation systems, including concerned solar power and enhanced geothermal setups.