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In this study, carbon nanotubes, which serve as nanoparticles, are added to the basic fluid. By using a similarity transformation, the governing equations are converted into a set of ordinary differential equations (ODEs), which are then solved analytically. In order to simulate the flow and heat transfer behavior of carbon nanotubes, the Prandtl numbers for water and kerosene are 6.72 and 21, respectively. The precision of the analytical solution found in this study for the nonlinear flow of fluid containing carbon nanotubes is what makes it so beautiful. With the available experimental data, the proposed model is reliable. The main physical parameters for the Jeffrey fluid flow on the stretching/shrinking surface using carbon nanotubes are shown in tables and graphs and described in detail for the thermal and boundary layers. Carbon nanotubes enhance the heat more than the nanofluid; for this purpose, the work on carbon nanotubes flow through stretching/shrinking surfaces has many applications in biomedical, solar energy, generator cooling, nuclear system cooling, etc. Therefore, it is quite significant to assimilate the analytical extension of heat transfer fluid in the presence of magnetohydrodynamics under the influence of slip velocity. Further, carbon nanotubes can effectively elucidate the base materials' thermal performance and mechanical properties. Here, we assimilated the extension of heat transfer fluid in the incidence of magnetohydrodynamics under the influence of slip velocity analytically. Further, carbon nanotubes can successfully elucidate the base materials' thermal performance and mechanical properties. [ABSTRACT FROM AUTHOR]

The influence of inclined magnetic field and heat and mass transfer of a hydromagnetic fluid on stretching/shrinking sheet with Stefan blowing effects and radiation has been investigated. The elementary viscous equations for momentum, heat and mass transfer, which are highly nonlinear partial differential equations, are mapped into highly nonlinear ordinary differential equations with the help of similarity transformation. The subsequent highly nonlinear differential equation is solved analytically. The exact solution of heat and mass transfer appearances is found in terms of the incomplete gamma function. The species and temperature boundary conditions are assumed to be a linear function of the distance from the origin. Further, the impact of various parameters, such as Chandrasekhar number, thermal radiation, inclined Lorentz force and mass transpiration on velocity and temperature summaries, are conferred in detail. [ABSTRACT FROM AUTHOR]