Pulsating flow on non-Newtonian fluids in pipes

Pulsatile flows of Leslie–Ericksen liquid crystals

“…The energy ratio as a function of the frequency for n = 0.4, 0.7, 1, and 1.4, and A = 1 shows that P is always >1, that it increases with n, and that converges to one only at large frequencies [9,10,11]. For n = 1 and A = 1, P = 1.5 the equivalent plot of energy ratio P versus the flow rate enhancement I shows that for n > 1(n < 1), the slope is negative (positive), and the slope for n = 0.7, dP/dI ≈ 0.02 [9][10][11].…”

“…For n = 1 and A = 1, P = 1.5 the equivalent plot of energy ratio P versus the flow rate enhancement I shows that for n > 1(n < 1), the slope is negative (positive), and the slope for n = 0.7, dP/dI ≈ 0.02 [9][10][11].…”

“…In this section we present a comparative study of liquid crystals and other non-Newtonian fluids under pulsatile flow [5,7,8,10,11,13], but mainly concentrate on power law fluids (PLFs) that are described by the constitutive equation: τ = K(−dv/dr) n where K and n are the two parameters that determine the rheological behavior of the fluid [3]. For n > 1, the viscosity behavior of power law fluids is shear thickening, similar to the low Er o response of discotic nematics, while for 0 < n < 1, the viscosity behavior is shear thinning, similar to discotic nematics and calamitics at intermediate Er o .…”

“…The instantaneous power requirement to pump a fluid using pulsating flow is given by [6][7][8]10,13,20,25]:…”

Pulsierende Druckstr�mung hochpolymerer Schmelzen im kreisf�rmigen Kanal

“…Die damit verbundenen Probleme wurden in einer Reihe yon Arbeiten sowohl experimentell als auch theoretisch untersucht [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Hierbei ist zu bemerken, dab alle bekannten Arbeiten sich auf Str6mungen in Kan~ilen mit kreisf6rmigem Querschnitt beziehen.…”