By James Freeman Steffe
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Extra info for Bioprocessing Pipelines: Rheology and Analysis
15) plot the product of viscosity and angular velocity (y-axis) versus torque (x-axis). Then, by regression analysis, determine k″ as the slope of Eq. 15). If the relationship is non-linear, the initial assumption that there is a linear relationship between the power number and the impeller Reynolds number (stated mathematically by Eq. 5)) is invalid, and k″ cannot be determined using this method. 4. 3) Obtain power law fluids that can be tested in a conventional concentric cylinder viscometer, and determine the consistency coefficient and the flow behavior index of these materials at the appropriate temperatures.
11), the flow behavior index and the consistency coefficient are found. 5. 3 Brookfield Viscometers with Disk Spindles Brookfield viscometers (Brookfield Engineering Laboratories, Middleboro, MA) equipped with flat disk shaped spindles (Fig. 8) are often used to examine the behavior of biological fluids. Unfortunately, the shear rate over a flat disk is non-uniform and difficult to describe mathematically. However, by taking a mixer viscometry approach, and defining an average shear stress and an average shear rate, these sensors can be used to determine non-Newtonian fluid properties.
Flexible pipe from the truck attaches to rigid pipe near the pump. Assume the tanks have open hatches so the pressure is one atmosphere at the upper fluid level in each tank. Fig. 1 illustrates an unloading situation where the pressure at points one and two are equal: P1 = P2. Since the movement of the liquid surfaces is very slow, one can assume that velocities at points one and two are essentially zero: u1 = u2 = 0 . The energy loss in the strainer is calculated in terms of the pressure drop across the strainer (at the specified flow rate) divided by the fluid density: ∆P/ρ.
Bioprocessing Pipelines: Rheology and Analysis by James Freeman Steffe