Abstract
It is a well-known fact that the interaction of ongoing Shear-thinning and Shear thickening liquid streams towards natural or manmade installed hitches holds the complex differential formulation. To seek the solution for the interpretation of the flowing shear thinning/thickening liquids stream seems difficult and hence it remains to be better understood. Therefore, the present study is case-wise mathematical devotion to fill the gap subject to evaluation of hydrodynamic forces in a corrugated domain experienced by uniformly heated triangular, square and circular shaped hitches. To be more specific, the non-Newtonian fluid named power-law fluid is taken in the corrugated channel. The flow is initiated from the left wall with a specific velocity profile. The outlet is manifested with Neumann and adiabatic conditions. The externally applied magnetic field is taken against the power-law fluid flow. The physical illustration is controlled mathematically in terms of coupled partial differential equations. The finite element method is adopted to report the solution. The three different flow modes namely, the shear thinning, Newtonian and shear thickening subject to the power-law index are examined subject to each obstacle namely triangle, square and circle. The velocity, pressure, and temperature are owned as quantities of interest for each flow mode. The obtained results are shared as contour plots. The uniformly heated obstacles are installed in each flow mode with an externally applied magnetic field and the experienced hydrodynamic forces are evaluated. It is done by adopting line integration around heated installed obstacles at various hybrid meshing levels. It is observed that the lift force as a lift coefficient for all installed obstacles is found an increasing function of the magnetic field parameter. It is trusted that the present attempt will serve as a helping directory to investigate the flows having abundant enrollments in both an engineering and natural settings.
•Two simultaneous liquid streams are studied in a corrugated geometry.•The turbulence is controlled via externally applied magnetic field.•Hybrid meshed finite element method is adopted for the simulation.•Hydrodynamic forces are evaluated in both the shear thinning and shear thickening liquid streams.