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Non-Newtonian Fluid Mechanics: The Vorticity Decomposition

Non-Newtonian Fluid Mechanics: The Vorticity Decomposition. Lewis E. Wedgewood, Chemical Engineering Department Primary Grant Support: National Science Foundation, 3M Company. Construct a Theory that Allows the Vorticity to be Divided into an Objective and a Non-Objective Portion

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Non-Newtonian Fluid Mechanics: The Vorticity Decomposition

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  1. Non-Newtonian Fluid Mechanics: The Vorticity Decomposition Lewis E. Wedgewood, Chemical Engineering Department Primary Grant Support: National Science Foundation, 3M Company • Construct a Theory that Allows the Vorticity to be Divided into an Objective and a Non-Objective Portion • Develop Robust Equations for the Mechanical Properties (Constitutive Equations) of Non-Newtonian Fluids using the Objective Portion of the Vorticity • Solve Flow Problems of Complex Fluids in Complex Flows such as Blood Flow, Ink Jets, Polymer Coatings, Etc. • Mathematical Construction of Co-rotating Frames (see Figure above) to Give a Evolution for the Deformational Vorticity (Objective Portion) • Finite Difference Solution to Tangential Flow in an Eccentric Cylinder Device • Brownian Dynamics Simulations of Polymer Flow and Relation Between Polymer Dynamics and Constitutive Equations • Continuum Theory And Hindered Rotation Models To Model Mechanical Behavior • Improved Understanding Of the Modeling of Complex Fluids • Applications to Structured Fluids such as Polymer Melts, Ferromagnetic Fluids, Liquid Crystals, etc. • Development Of Constitutive Relations Suitable For Design Of New Applications • Verification Of Hindered Rotation Theory And The Transport Of Angular Momentum In Complex Fluids

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