## 1 Introduction
The unsteady mixed convection boundary flow of a micropolar fluid with uniform suction/injection over a stretching/shrinking sheet was analyzed [18]. We investigated the flow and heat transfer in a micropolar fluid along a stretching surface. According to the authors of [19], the effect of the thermal radiation interaction of the boundary layer flow of a micropolar fluid along a heated plate was embedded in a porous medium with variable heat flux [20]. The effect of variable heat flux on the heat transfer characteristics of a stretching surface in micropolar fluids was studied [21]. This study examined the influence of suction/injection and heat generation on the MHD flow of a micropolar fluid along a stretched permeable surface [22]. The heat transfer characteristic of a micropolar fluid along a heated vertical porous plate with variable suction and heat flux was compared to the Newtonian fluid [23]. The effects of the thermal radiation and heat generation were observed with respect to the flow and heat transfer characteristics over an unsteady moving surface in a micropolar fluid in the presence of suction/injection [24]. The suction/injection effects were studied on the micropolar fluid flow along a continuously moving plate in the presence of radiation [25]. The effects of microrotation and nanoparticle volumetric fraction on the fluid flow and heat transfer behavior in the boundary layer were observed [26]. We studied the effect of the microrotation of nanoparticles on the momentum boundary layer of a permeable stretching sheet in micropolar nanofluids with suction [27]. The flow and heat transfer of a micropolar fluid on a porous stretching sheet was observed [28]. The study recorded the effects of Soret and the non-uniform heat source/sink on the MHD non-Darcian convective flow along a stretching sheet in a micropolar fluid with the radiation effect [29]. We examined the effects of radiative and Joule heating on the MHD flow of a micropolar fluid with a partial slip and convective boundary condition problem [30], as well as on the micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with a multimedia feature [31]. We used the Chebyshev Spectral Newton Iterative Scheme to analyze the hydromagnetic Hiemenz flow of a micropolar fluid over a non-linear stretching/shrinking sheet [32], and investigated the MHD orthogonal stagnation-point flow of a micropolar fluid in the presence of a magnetic field that is parallel to the velocity at infinity [33]. The Lorentz force effect was observed on a mixed convection micropolar flow in a vertical conduit [34], along with the flow and heat transfer of a weak concentration micropolar nanofluid over a steady/unsteady moving surface [35]. The Molecular Dynamics Studyof Thermodynamic Properties of Nanoclusters for Additive Manufacturing was considered [36]. We observed the nanoscale liquid film that was sheared between strong wetting surfaces and studied the effects of the interface region on the flow [37], as well as the molecular dynamics simulations of oscillatory Couette flows with slip boundary conditions [38]. Viscous heating in the nanoscale shear driven liquid flows, as well as [39] the molecular dynamics of bimetallic nanoparticles--including the case of AuxCuy alloy clusters [40]--was studied. The thermal resistance at a liquid-solid interface, which is dependent on the ratio of thermal oscillation frequencies, along with [41] the molecular simulation of thermal transport across hydrophilic interfaces, was examined. This work presents an investigation of the effect of microrotation of the nanoparticles along a moving plate, with time-dependent velocity and temperature, through a boundary layer that is subjected to thermal radiation and a suction process, in the presence of a uniform magnetic field through a porous medium. The study considered two cases, namely the steady weak concentration--which was solved analytically using the hypergeometric function--and the unsteady motion--which was solved numerically.