Abstract
The purpose of the study of single/multi-wall carbon nanotubes (SWCNTs/MWCNTs) mixed water-based nanofluid having unsteady stagnation-point flow on shrinking/expanding sheet with velocity and thermal slip effects is to decode the heat transfer mechanism to know the high cooling rate criteria. Governing boundary layer coupled partial differential equation (PDEs) are converted into ordinary ones. The transformed equations are numerically solved by shooting method with RK-4 scheme. The impacts of different parameters are described graphically and a comparison between current and previous results is made in tabular form. Existence of multiple solutions along with unique solution appears for specific cases of shrinking and expanding velocities. The investigation also reveals that SWCNT-nanoparticles have more dominating heat and momentum transfer rates than MWCNT-nanoparticles. Velocity slip delays the boundary layer separation, but maximum surface drag-force does not alter. Thermal slip and unsteadiness reduce heat transfer rate, whereas velocity slip enhances it. For high shrinking velocity compared to free stream velocity, the surface cooling rate drops down with Prandtl number and thermal boundary layer thickness significantly reduces for all types of nanofluids and for both solution branches. For both nanofluids, the temperature near the sheet decreases with thermal slip. For non-uniqueness of the similarity solution, a linear stability analysis is conducted and it verifies that upper branch of the obtained solutions is stable, while lower branch is unstable for high shrinking velocity and the unique solution is stable for expanding and low shrinking velocities.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.