Highly accurate wavelet-homotopy solutions for mixed convection hybrid nanofluid flow in an inclined square lid-driven cavity

The classic problem of mixed convection flow within an inclined square lid-driven cavity is extended to hybrid nanofluid case. The governed partial differential equations with non-homogeneous boundary conditions are studied by means of our proposed Coiflet wavelet-homotopy method. Highly accurate solutions with very clear vortex structures are obtained. The effectiveness and efficiency of these solutions are strictly checked through a series of comparisons with published ones in literature. Results show that our proposed approach holds both strong nonlinear processing capability and excellent local display characteristics so that it can be used to attack complicated nonlinear problems more efficiently and accurately than the traditional homotopy analysis method and the Coiflet wavelet analysis approach. Besides, physical properties of hybrid nanofluid behaviors are examined, it is noticed that, similar to nanofluids, the hybrid nanofluid is superior to traditional heat transfer fluids for heat transfer enhancement but it could be easier and cheaper.

Automated summary

The classic problem of mixed convection flow within an inclined square lid-driven cavity is extended to the case of hybrid nanofluid. The proposed Coiflet wavelet-homotopy method is used to study the governed partial differential equations with non-homogeneous boundary conditions. Highly accurate solutions with clear vortex structures are obtained. The results show that the proposed approach is more effective and accurate in dealing with complicated nonlinear problems compared to the traditional methods. Additionally, the study examines the physical properties of hybrid nanofluid behaviors and finds that they offer better heat transfer enhancement than traditional heat transfer fluids, but are also easier and cheaper.