Viscoplastic flow around a cylinder kept between parallel plates

On the Numerical Simulation of Viscoplastic Fluid Flow

“…Surprisingly, the flow of a viscoplastic fluid past a disk in either a bounded or unbounded region (clearly, the two-dimensional analog of the flow past a sphere) has received less attention (likely because less physical). This problem has been investigated in Zisis and Mitsoulis [2002], Mitsoulis [2004] using regularization methods, and in Roquet [2000], Roquet and Saramito [2003] using an augmented Lagrangian method combined with an adaptive mesh generator, which refines the mesh in the neighborhood of the yield surfaces (as in Saramito and Roquet [2001]), allowing thus an accurate tracking of the yield/unyielded interface. The settling of rigid disks in a bounded cavity containing a Bingham fluid is discussed in Dean, Glowinski and Pan [2003]; the numerical experiments presented there suggest that if a two-dimensional analog of Y G is large enough, the disks stop settling in finite time before reaching the bottom of the cavity.…”

On the transition to turbulence of a viscoplastic fluid past a confined cylinder: A numerical study

“…These choices have been based on the previous work of Kanaris et al (2011), who repored the emergence of mode A and mode B three-dimensional wake instabilities in the transitional wake of a Newtonian fluid in the same flow configuration. A similar cylinder placement has also been used by other authors (Zisis and Mitsoulis, 2002;Mitsoulis, 2004;Tokpavi et al, 2008). In anticipation of the possible development of mode B, and of the larger mode A instabilities, the spanwise length of the domain was set at W ¼ 8D and W ¼ 12D, respectively.…”

“…The reported studies to date focus on both unconfined (Adachi and Yoshioka, 1973;Tokpavi et al, 2008;Mossaz et al, 2010Mossaz et al, , 2012Nirmalkar and Chhabra, 2014) and confined geometries (Zisis and Mitsoulis, 2002;Mitsoulis, 2004). The distinct feature of viscoplastic materials is that below a critical value of the shear stress they behave as rigid bodies and form solid-like unyielded regions.…”

Mixed convection from a hemisphere in Bingham plastic fluids

“…In contrast, much of the existing literature on the so-called external boundary layer type flows relates either to a sphere, e.g., see Refs. 9,11-13 for extensive reviews or to two-dimensional shapes like square [14], circular [15][16][17][18], elliptical cylinders [19]. In this case also, the bulk of the studies relate to momentum transfer aspects and the currently available body of information on heat transfer is indeed very limited.…”