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ENTROPIC MEASURES OF MIXING IN APPLICATION TO POLYMER PROCESSING

Alemaskin, Kirill

Abstract Details

2004, Doctor of Philosophy, Case Western Reserve University, Macromolecular Science.
Mixing is an important component in most processing operations including but not limited to polymer processing. Generically, mixing refers to a process that reduces composition nonuniformity. Since the entropy is the rigorous measure of disorder or system homogeneity, in this work we will explore various ways to employ the entropy to characterize the state of mixing in a multi-component system. The various species can be initially present in the system or they can evolve as a result of a dispersive mixing operation involving a cohesive minor component. Computer simulation of agglomerate dispersion and sequential distribution of all particles obtained in the system allows us to evaluate the overall mixing efficiency of processing equipment. Evaluation is based on a specific mixing index, calculated using the Shannon entropies for different size fractions. The index can be tailored to give preference to different particle size distributions, thus relating the quality of mixing to specific properties of the final product. We propose a Shannon entropy based index of color homogeneity to assess color homogeneity as well as deviations from a standard/ideal color. We illustrate the concept by analyzing ABS polymeric samples obtained in a single screw extruder by mixing blue and yellow polymer pellets. Alternatively the proposed technique can be employed to assess the efficiency and degree of distributive mixing attained in polymer processing equipment. We present numerical simulations for an ABS resin extrusion in an industrial conventional single screw extruder. Based upon the flow field patterns obtained in the simulations, a particle tracking procedure was employed to obtain information about the spatial distribution of particle tracers of two colors. Results of the simulation were compared with experimental data obtained under similar extrusion conditions. To evaluate the degree of color mixing and color homogeneity for the system, we also employ the entropy based index of color homogeneity for two species populations.
Ica Manas-Zloczower (Advisor)

Recommended Citations

Citations

  • Alemaskin, K. (2004). ENTROPIC MEASURES OF MIXING IN APPLICATION TO POLYMER PROCESSING [Doctoral dissertation, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1098397260

    APA Style (7th edition)

  • Alemaskin, Kirill. ENTROPIC MEASURES OF MIXING IN APPLICATION TO POLYMER PROCESSING. 2004. Case Western Reserve University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1098397260.

    MLA Style (8th edition)

  • Alemaskin, Kirill. "ENTROPIC MEASURES OF MIXING IN APPLICATION TO POLYMER PROCESSING." Doctoral dissertation, Case Western Reserve University, 2004. http://rave.ohiolink.edu/etdc/view?acc_num=case1098397260

    Chicago Manual of Style (17th edition)