## 1 Introduction
[17] studied the convective hydrodynamics non-Newtonian nanofluid flow past a plate of stretching nature and perceived that buoyancy force familiarized due to the mass of microorganisms heightened skin friction. [PERSON] et al. [18] studied the impact of nanoparticles namely (Tio\({}_{2}\)) in the peristaltic transport of blood flow. They calculated the series form of solution using analytical scheme (HPM). The main result of this research is that fluid flow accomplished maximum velocity at the epicenter of the annulus. [PERSON] et al. [19] discussed the heat transfer effect of magnetohydrodynamic MHD incompressible viscous fluid in divergent and convergent channel. The main finding in this article show that thermal profile enhanced for layer values of Reynold and Nusselt numbers. [PERSON] [20] examined a three-dimensional mathematical study of turbulent forced convection heat transfer in a tube by using hybrid nanofluid (Al2O3-SiO2/water, Al2O3-TiO2/water) and single-phase approach. She changed the nanoparticle concentration to see heat transfer enhancement of hybrid nanofluid. Moreover, the performance of the nanofluid with single nanoparticle compared at the same conditions. It was noticed that the heat transfer coefficient of 2.5% Al2O3-1.5% SiO2/water hybrid nanofluid has the highest value in comparison with pure water. [PERSON] et al. [21; 22] have investigated the liquid film flow of pseudo-plastic nanofluid with internal heat generation impression. Further, they improved the study with viscous dissipation and thermal conductivity transfer. The Oldroyd-B thin film flow containing silver and copper nanoparticles was analyzed by [PERSON] et al. [23; 24]. They found that the silver nanoparticles nanofluid had superior thermal conductivity associated to copper nanoparticles nanofluid. In another article they observed the thin film flow power law nanofluid with velocity slip and variable magnetic field influence. The detailed review about nanofluid relating to its description, preparation, thermophysical assets and applications' fields with different effects can be found in Refs. [25; 26; 27; 28; 29; 30]. There are various uses for transfer of heat in manufacturing and engineering procedures which include microelectronics, fuel cells, nuclear reactors, and refrigeration centers. The underlying concept of all these operations being that the importance of thermal conductivity is believed to be unchanged. Such quality, indeed, correlates with heat and many other considerations. The thermal conductivity in MHD power-law fluid considering Soret and Dufour influences was discussed by [PERSON] and [PERSON] [31]. [PERSON] et al. [32] exploring the flow of fluid with variable fluid properties. The improved version of [PERSON]'s law by [PERSON] and [PERSON] is called the Cattaneo-Christov (C-C) heat flux model [33]. This model is used for the control of the thermal boundary layer. The analytical approach for viscoelastic fluid with velocity slip conditions considering the heat flux model of C-C was investigated by [PERSON] et al. [34]. [PERSON] [35] numerically and analytically analyzed the rotating nanofluid flow along with heat flux model of C-C past an extending sheet. The same case over an exponentially extending surface was argued by [PERSON] et al. [36]. [PERSON] et al. [37] observed the squeezing nanofluid flow containing carbon nanotubes (CNTs) along with C-C model of heat flux. The MHD flow of Williamson fluid using heat flux model of C-C was probed by [PERSON] et al. [38]. [PERSON] et al. [39] discussed the MHD fluid flow with C-C model of heat flux. In another article, [PERSON] et al. [40] extended the same study for third grade fluid with heat flux model of C-C. [PERSON] and [PERSON] [41] investigated the Forchheimer flow of CNTs. [PERSON] et al. [42] observed the flow of nanofluid containing CNTs with C-C model of heat flux. Now Newtonian fluids are in diverse types which have the multipart rheological properties dependent on their viscosity conduct as a function of shear rate, stress, deformation history etc.