Computational Investigation of Steady Incompressible Dilatant Flow in an Enclosed Cavity

Abstract

This paper presents a comprehensive investigation into the numerical solutions of two-dimensional incompressible dilatant flow in an enclosed cavity region. The continuity and momentum equations are solved using pseudo time derivative approach considering appropriate initial and boundary conditions. As a result, the equations governing flow motion are decomposed using the finite difference method and subsequently solved numerically. Numerical solutions are calculated up to a Reynolds number (Re) of 5000, using an extensive mesh. Based on the obtained results, it is evident that the method used proves to be both effective and highly accurate. Finally, we discuss the need for further research.

Keywords

• Finite difference method
• pseudo time derivative
• dilatant fluids
• numerical solution
• Reynolds number

Supporting Institution

Amasya University

Project Number

FMB-BAP 15-0100

Ethical Statement

I declared that this manuscript has not been submitted elsewhere for publication, nor has it been previously published in whole or in part.

Thanks

This work was supported by the Office of Scientific Research Projects Coordination at Amasya University, Grant number: FMB-BAP 15-0100.

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