By R.P. Chhabra
Bubbles, Drops, and debris in Non-Newtonian Fluids, moment version keeps to supply thorough assurance of the clinical foundations and the most recent advances in particle movement in non-Newtonian media. The publication demonstrates how dynamic habit of unmarried debris can yield worthy info for modeling delivery strategies in advanced multiphase flows.
Completely revised and multiplied, this moment variation covers macroscopic momentum and heat/mass move from a unmarried inflexible or fluid particle or ensembles of debris related to powerful inter-particle interactions together with packed beds, fluidized beds, and porous media with sorts of non-Newtonian fluids. It displays advances made because the book of the former, bestselling version with new fabric on issues comparable to extensional stream; time-independent, time-dependent and visco-elastic fluids; loose settling habit of non-spherical debris; and particle movement in visco-elastic and visco-plastic fluids, boundary layer flows, flows in porous media, and falling item rheometry.
An very good reference and guide facing the technological points of non-Newtonian fabrics encountered in nature and in know-how, this publication highlights qualitative alterations among the reaction of a Newtonian and non-Newtonian fluids within the advanced flows encountered in processing purposes
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Additional info for Bubbles, Drops, and Particles in Non-Newtonian Fluids, Second Edition
5 The Ellis Fluid Model The four models presented so far are examples of the form τyx = f (γ˙yx ). 18) where µ0 is the zero-shear viscosity, τ1/2 is a model parameter that denotes the value of the shear stress at which the apparent viscosity has dropped to a value of (µ0 /2), and α (>1) is a measure of the extent of the shear-thinning behavior. This form of equation is advantageous in that it permits an easy calculation of velocity profile from a known stress distribution but renders the reverse operation cumbersome.
It is not uncommon for the same suspension/dispersion to display both thixotropy as well as rheopexy under appropriate conditions of shear rate and the solid contents. 15 illustrates the gradual onset of rheopexy in a saturated polyester at 333 K (Steg and Katz, 1965). , 1990), and protein solutions (Pradipasena and Rha, 1977). The available mathematical equations to describe thixotropic and rheopectic behavior are much more complex in form than those mentioned in the preceding section for the time-independent fluid behavior and it is usually necessary to make measurements over the range of conditions of interest.
2 Elongational Flow Flows that result in fluids being subjected to stretching in one or more directions also occur in several engineering processes, fiber spinning and polymer film blowing being only two of the most common examples. Likewise, when two bubbles coalesce, a very similar stretching of the liquid film between them occurs that finally ruptures. Another good example with significant extensional effects is the flow of polymer solutions in porous media, as encountered in the enhanced oil recovery process.
Bubbles, Drops, and Particles in Non-Newtonian Fluids, Second Edition by R.P. Chhabra