Comparative study of stagnation point nanofluid flow with partial slips using shooting technique

• Published in: Journal of thermal analysis and calorimetry 2024-02, Vol.149 (4), p.1715-1724
• Main Authors: Muhammad, Khursheed, Alrihieli, Haifaa F., Allehiany, F. M., Gamaoun, Fehmi
• Format: Article
• Language: English
• Subjects: Analytical Chemistry; Boundary conditions; Chemistry; Chemistry and Materials Science; Comparative studies; Convection; Curvature; Fluid flow; Heat sinks; Heat sources; Heat transmission; Inorganic Chemistry; Measurement Science and Instrumentation; Nanofluids; Nanoparticles; Ordinary differential equations; Parameters; Partial differential equations; Physical Chemistry; Polymer Sciences; Radiation; Skin friction; Slip; Stagnation point; Thermal radiation; Velocity
• ISSN: 1388-6150; 1588-2926
• DOI: 10.1007/s10973-023-12736-7

This study investigates the heat transmission during the flow of nanofluid (CNTs + Pure Water) in the presence of partial slip boundary conditions. Flow analysis is explored through the examination of velocity slip and stagnation-point. To analyze heat transport, the energy equation considers the impacts of thermal radiation and viscous dissipation. The nanofluid is considered over a vertically stretched cylinder subjected to thermal and velocity slips. Additionally, the presence of heat sources and sinks is also reported. The partial differential equations arising from the problem are obtained through mathematical modeling and then transformed into ordinary differential equations (ODEs) using appropriate dimensionless variables. Finally, the solutions to the governing system of ODEs and boundary conditions are obtained graphically through the shooting technique (bvp4c). As significant results, it is found that the velocity of nanofluid (CNTs + Pure Water) increases for a higher amount of nanoparticles, curvature, mixed convection, and velocity ratio parameters. At the same time, it decays against the velocity slip parameter. An increase in velocity ratio, thermal slip, and heat sink parameters causes a decline in the temperature of the nanofluid (CNTs + Pure Water). At the same time, it is boosted through a higher heat source, thermal radiation, curvature parameters, Eckert number, and a higher amount of nanoparticles. The coefficient of skin friction is minimized by using higher velocity slip and mixed convection parameters while it increases for a higher amount of nanoparticles. A higher amount of nanoparticles and thermal radiation parameters intensifies the Nusselt number, and it is reduced through increments in the Eckert number and thermal slip parameter. In overall observation, the impacts of MWCNTs are efficient.