Purpose <p>In recent years, nanofluids have been widely used in energy technologies and have already shown significant promise in the thermal amplification of numerous manufacturing industries. Due to its numerous applications in the operation of mineral oils, water, solar energy, and microelectronics, the study of nanofluid is becoming a significant area of research. For this reason, the present framework looks into how suction and injection affect the properties of the nanofluid flow. This article has addressed the role of the slip effect, another significant physical component in the flow analysis.</p> Methods <p>The mathematical analysis in this paper was conducted using low Reynolds number and long wavelength approximations. Analytical equations for temperature profile, velocity, pressure rate nanoparticles, and stream function are developed. Pressure gradient, velocity, frictional force, and other physical properties are combined to generate a graphic representation.</p> Results <p>Brownian motion features and thermophoresis serve as examples of the extraordinary properties of nanofluid. In many operating systems with higher temperature gradients, thermophoresis is relevant to mass transport processes. The influence of thermophoresis and Brownian motion factors on flow characteristics was demonstrated using graphs. The profile of temperature rises with an increase in the thermophoresis parameter. The volume fraction of nanoparticle profiles decreases with an increase in thermophoresis factors.</p> Conclusion <p>Numerous industrial and biological applications, blood pumps in heart and lung machines, including the movement of hygienic fluids, the transfer of caustic fluids where it is forbidden for the fluid to come into touch with equipment parts, call for this type of study. Medical procedures like oxygenation and hemodialysis can benefit from this research as well.</p>