Bashaer Kadhim Al-Bahrani and Alaa Hasan A. Al-Muslimawi
The article aims to provide an accurate and efficient numerical algorithm for viscous flows in power-law fluids under various thermal boundary and partial slip conditions.
Abstract
Purpose
The article aims to provide an accurate and efficient numerical algorithm for viscous flows in power-law fluids under various thermal boundary and partial slip conditions.
Design/methodology/approach
We are conducting a numerical investigation using the Taylor–Galerkin/pressure correction finite element method, which builds upon the work of previous researchers. Here, attention is therefore given to the interplay of various thermal boundary and stick-slip conditions and their impact on non-isothermal inelastic fluid.
Findings
The results demonstrate the influence of the Prandtl, Brinkman and Reynolds numbers on the flow’s thermal and hydrodynamic behavior, concentrating on the impact of slip at the wall. Furthermore, we have presented the effects of these dimensionless parameters on the detailed local and average Nusselt numbers, illustrated the high accuracy we obtained for numerical convergence, and compared our results with those of previous papers, observing excellent agreement.
Practical implications
We have successfully tested the code under the presented industrial conditions. Future research directions on this topic aim for efficient and robust solvers for non-Newtonian thermal rheological models; this algorithm can be used for that purpose.
Originality/value
This algorithm has never been used for numerical analysis of such a problem previously.