Oscillatory Flow in a Tube with Multiple Constrictions

Effects of variable viscosity on pulsatile flow of blood in a tapered stenotic flexible artery

“…In the recirculation zone, flow separation takes place, and the flow becomes reversed. The fluctuation in wall shear stress and its direction change indicate atherosclerotic lesions . This recirculation zone is of physiological importance since appearance of this region may lengthen the residing time of blood constituents, which ultimately may put down on the arterial wall.…”

“…The fluctuation in wall shear stress and its direction change indicate atherosclerotic lesions. 13,30 This recirculation zone is of physiological importance since appearance of this region may lengthen the residing time of blood constituents, which ultimately may put down on the arterial wall. One can easily observe that recirculation zones occur between the two constrictions and in the downstream of the second constriction.…”

Analysis of blood flow through a modelled artery with an aneurysm

“…where the terms p t , p b and Ucd n i;j are defined in Layek et al [17] and p t , p b stand for pressure at the top and bottom middle positions of the u-momentum equation at nth time level at (i, j)th cell. The diffusive terms are discretized centrally and central difference formula is used for the mixed derivative @ 2 u @z@R in uniform grid-sizes.…”

“…The diffusive terms are discretized centrally and central difference formula is used for the mixed derivative @ 2 u @z@R in uniform grid-sizes. The finite difference equation approximating the momentum equation in the R-direction is v ðnþ1Þ Table 1 Results of stream function w and vorticity x for a long circular tube at Re = 10. where A, B, C, D, A 1 , A 2 all are given in Layek et al [17]. Here Div n i;j is the finite-difference representation of the divergence of the velocity field at cell (i, j).…”

A Macroscopic Two-Phase Blood Flow Through a Stenosed Artery with Permeable Wall

“…The flow accelerates and consequently the velocity gradient near the wall region is steeper due to the increased core velocity resulting relatively large shear stress on the wall even for a mild stenosis, in the narrowing region of the artery. With the advent of the discovery that the cardiovascular disease, stenosis is closely associated with the flow conditions and other hemodynamic factors, since the first investigation of Mann et al [20], a large number of researchers including Young [47,48], Young and Tsai [46], Caro et al [7], Shukla et al [35], Ahmed and Giddens [1], Sarkar and Jayaraman [34], Pralhad and Schultz [32], Jung et al [13], Liu et al [16], Srivastava [43], Misra and Shit [26], Mishra and Verma [24], Ponalagusamy [30], Layek et al [14,15], Joshi et al [12], Mekheimer and Elkot [22], Tzirtzilakis [45], Mandal and coworkers [17][18][19], Politis et al [28,29], Sankar and Lee [33], Srivastava and coworkers [39,40], Singh et al [36], Biswas and Chakraborty [5,6], Medhavi [21], Mishra and Siddiqui [25], Nadeem et al [27], Mekheirmer et al [23], Ponalagusamy and Selvi [31], Bandyopadhyay and Layek [2,3], Chakraborty et al [8], Srivastava et al [44] and...…”