Newtonian Heating Effect on Non-Coaxially Rotational MHD Flow of Micropolar Casson Nanofluid over Oscillating Riga Plate in terms of Generalized Fourier’s and Fick’s Perspective

The investigation of non-coaxially rotating MHD flow of generalized micropolar Casson nanofluids, incorporating MXene nanoparticles in Soybean oil, over an oscillating Riga plate has significant implications for solar thermal collectors. This study explores the conjugate effects of electromagnetic forces, microrotation dynamics, and non-Newtonian fluid behavior in enhancing heat transfer efficiency. The addition of MXene nanoparticles improves thermal conductivity, while Soybean-based nanofluids offer eco-friendly and sustainable heat transfer properties. The above physical phenomena are modeled in terms of partial differential equations and the Caputo fractional derivative model has been developed by using generalized Fourier’s and Fick’s laws. The fractional model is solved using the Laplace transform technique and the closed form solutions are obtained in terms of the Wright function, and the Robotnov-Hartley function. Moreover, the parametric impact of many physical factors such as Casson fluid parameter, material parameter, volume fraction, fractional parameter, Grashof number, and magnetic parameter are discussed graphically. Skin friction and Nusselt number are computed numerically and displayed in tabular form. Results show that adding MXene nanoparticles in Soybean oil enhances the heat transfer rate up to 21.12% which further enhances the efficiency of the solar collector.