## 1 Introduction  
The study of magnetohydrodynamics (MHD) explains the magnetic features of electrically conducting fluids. Normally, it affects the heat transfer and appears as Joule heating and Lorentz force. Cooling of the refrigerator, saltwater, plasma, tumor therapy, radiation of X-ray, and electrolytes are examples of MHD. Many valuable works done have been published highlighting varied aspects of MHD. [PERSON] et al. [1] highlight the unsteady MHD nanoliquid flow over a starching sheet in the attendance of viscous dissipation and stratification. [PERSON] et al. [2] discussed steady MHD Jeffery nanofluid flow over a vertical inclined cylinder with chemical reaction, thermal radiation, and double stratification. They engaged the homotopy analysis method (HAM) to obtain series solutions. [PERSON] et al. [3] discussed the impact of viscous dissipation on tangent hyperbolic non-Newtonian fluid over a stretching sheet with Joule heating. They obtained results by implementing numerical procedure (Keller-box method). They also examined that the fluid velocity is lowered by enlarging the Weissenberg number. Some more recent remarkable researches featuring MHD may be found at [4; 5; 6; 7] and many therein. The increasing rate of heat transfer by employing nanofluid rather than the real base fluids has attracted the attention of researchers around the world, which makes a clear difference between nanofluids and the base fluid. Nanofluids holding nanoparticles submerged into the base fluid are termed as coolants to increase the heat transfer functioning in power generators, nuclear reactors, manufacturing paper, electronic devices, domestic refrigerators, air conditioning, and the automotive industry. [PERSON] [8] first floated the idea of nanofluid and discloses that the thermal properties of the base fluids are greatly improved once the nanoparticles are incorporated into them. After this significant effort, many researchers talked about the implications of the nanoparticles supplement to the fluid flows. [PERSON]'s results are verified experimentally by [PERSON] et al. [9]. [PERSON] et al. [10] debated nanofluid heat transfer in the pipe with twisted tape with an alternative axis. They engaged the finite volume method as a simulation tool. They also demonstrated the influence of Reynold number and revolution angle on nanofluid hydrothermal treatment. [PERSON] et al. [11] scrutinized the variable heat flux with stagnation point nanofluid flow over a thin needle. They used ND shooting technique for solving differential equations numerically. They also examined that the velocity profile increases for greater estimation of nanoparticles volume fraction. Nonlinear thermal radiation nanomaterial flow with viscous dissipation over a thin moving needle is discussed by [PERSON] et al. [12]. They employed the second law of thermodynamics for entropy generation minimization (EGM). For greater values of radiative parameters, the lowest heat transfer rate is observed. The effect of Joule heating in MHD Sakiadis flow with Brownian motion and thermophoresis on a continuously moving thin needle is investigated by [PERSON] et al. [13]. Some recent explorations regarding nanofluid flows over a thin needle are given at [14; 15; 16]. The basic theory of Navier-Stokes is the no-slip boundary condition that is explored by many researchers under certain conditions. There are some applications where no-slip conditions are not applicable and change to partial slip condition. The boundary slip has many uses, like artificial heart valves and polished internal cavities, which are valuable examples of slip. Because of the wide scope of applications, scientists and researchers have focused nowadays on heat transfer and flow analysis at a micro-scale, which are interconnected to the slip effects. [PERSON] and [PERSON] [17] discussed the combined effect of Stokes and Couette flows with slip condition on the oscillating wall.