Numerical simulations of the steady 2-D incompressible viscous flow in an arc-shaped cavity are presented. The Navier–Stokes equations in streamfunction and vorticity formulation are solved numerically using a body fitted mesh obtained by a conformal mapping. Our numerical results reveal that the arc-shaped cavity flow has multiple steady solutions above a bifurcation Reynolds number when the arc length ratio is less than 1/2 (
Erturk, E. (2021). Multiplicity of Steady State Solutions in 2-D Incompressible Viscous Wall Driven Arc-Shaped Cavity Flow. Journal of Applied Fluid Mechanics, 14(4), 1147-1163. doi: 10.47176/jafm.14.04.32281
MLA
E. Erturk. "Multiplicity of Steady State Solutions in 2-D Incompressible Viscous Wall Driven Arc-Shaped Cavity Flow", Journal of Applied Fluid Mechanics, 14, 4, 2021, 1147-1163. doi: 10.47176/jafm.14.04.32281
HARVARD
Erturk, E. (2021). 'Multiplicity of Steady State Solutions in 2-D Incompressible Viscous Wall Driven Arc-Shaped Cavity Flow', Journal of Applied Fluid Mechanics, 14(4), pp. 1147-1163. doi: 10.47176/jafm.14.04.32281
VANCOUVER
Erturk, E. Multiplicity of Steady State Solutions in 2-D Incompressible Viscous Wall Driven Arc-Shaped Cavity Flow. Journal of Applied Fluid Mechanics, 2021; 14(4): 1147-1163. doi: 10.47176/jafm.14.04.32281