###### Abstract
They noticed that a positive change in Lorentz force generates a resistive force, which is responsible for a decrement in velocity phenomenon. [PERSON] et al. [7] scrutinized the effect of thermal radiation and chemical reaction on magnetically driven Carreau fluid movement subjected to an expanding cylinder and found that a positive variation in thermal radiation parameters enhances the heat transfer rate of the fluid. [PERSON] et al. [8] recently discussed how the hydromagnetic flow of Cross-hybrid nanofluid influenced quadratic thermal radiation. It was found that hybrid nanofluid is more effective than other nanofluid models. Cross nanomaterials and MHD entropy, along with cubic autocatalytic chemical reaction, analysis has been made by [PERSON] et al. [9]. Soret and Dufour numbers and their physical impacts on MHD nanofluid over the geometry of a finned cavity including a rotating circular cylinder are discussed by [PERSON] et al. [10]. Nanoparticles of Fe\({}_{3}\)O\({}_{4}\)/Cu/Ag-CH\({}_{3}\)OH in MHD stagnation point flow have been utilized over a heated surface and partial slip, activation energy facts which the study of [PERSON] et al. [11] has also engaged with. Recent studies [12; 13] related to the hydromagnetic transport of Casson nanofluid and thermo-sultal convection of a nanofluid have been published with superb results. Carreau nanofluid has the capability to judge the attitude of nanofluid at extreme levels. When external force is imposed on a fluid, shear stress is generated in it and deformation takes place. If the magnitude of the applied force is very high, a very high shear rate results, and it is the same when a very low force is exerted on a fluid; a very low shear rate is produced. There was no such mathematical model for depicting the characteristics of a fluid when a very low and very high shear rate is produced in the fluid. Carreau fluid is a competent, authorized mathematical model that describes the characteristics of fluid mechanics at extreme levels. This unique quality of Carreau fluid distinguishes it from other fluid models. [PERSON] et al. [14] conducted a numerical analysis of steady Carreau fluid flowing over a wedge. In this attempt, they incorporated infinite shear rate as a factor along the Carreau fluid and obtained its effect on several physical variables. Further, they [15] obtained multiple solutions of the Carreau fluid model. The heat transportation aspect of Carreau fluid, containing an infinite shear-rate viscosity term, has been investigated by [PERSON] et al. [16]. [PERSON] et al. [17] conducted work on heat transportation with a mixed convection mechanism, taking Carreau nanofluids under the effect of infinite shear-rate viscosity. [PERSON] et al. [18] published valuable work related to the concentration and thermal aspects in the Carreau viscosity model via a wedge, and the latest study related to melting and the entropy generation of infinite shear-rate viscosity of the Carreau model over a Riga plate with erratic thickness was performed by [PERSON] et al. [19]. [PERSON] et al. [20] presented their study related to an aligned magnetic field on the 2 DOF VIV suppression of heat transportation and its comprehensive characteristics. Many other scholars [21; 22; 23] conducted their investigations over cylindrical geometry with different effects, such as turbulent cylinder-stirred flow, tunable filtering and demultiplexing with a hollow cylinder and heat-transfer augmentation in a tube mixture of ethylene glycol as a base fluid. Rapid heat transportation was a wish of many scholars because there is energy consumption at the industrial and engineering sides. To solve this issue, investigators have looked for a rapid heat-transfer fluid, and they have presented that, for that purpose, we have to increase the thermal conductivity of fluid. Later on, a judgment was passed that conductivity is increased by using nanoparticles in the base fluid. Nano-sized particles are very small in size, approximately less than 100 nm, and are referred to as nanoparticles.