Numerical outlook of a viscoelastic nanofluid in an inclined channel via Keller box method

Background and objectives: This work is a theoretical investigation of a viscoelastic fluid of which heat transfer properties are explored in the presence of nanoparticles. Further the viscous dissipation has been mathematically modeled in the energy equation.Methodology: The physical model is handled using fluid dynamics fundamental equations. Buongiorno nanofluid model is utilized to study the nanofluid properties. The resulting coupled boundary value problem is non-dimensionalized and solved by Keller box method. Significance: Backflow in the inclined channels can be witnessed at any Reynolds number and at any opening angle of the channel. In the present study, the same has been investigated when nanoparticles are added to the viscoelastic fluid flowing through the inclined channel.Numerical findings: The viscous dissipation elevated the temperature profile and Schmidt number upsurged the nanoparticles concentration in the converging channel for stretching case and vice versa behaviour is observed for the diverging channel.

Automated summary

This study is a theoretical investigation of the heat transfer properties of a viscoelastic fluid in the presence of nanoparticles. The study finds that the nanoparticles have a significant impact on the backflow phenomenon in inclined channels. Numerical simulations show that the viscous dissipation affects the temperature distribution in converging channels, while the Schmidt number affects the nanoparticle concentration. The opposite behavior is observed in the diverging channels.