Accession Number : ADA290355

Title :   Computational Methods for the Simulation of Non-Newtonian Flows.

Descriptive Note : Final rept. 5 Aug 91-6 Aug 93,

Corporate Author : HAMPTON UNIV VA

Personal Author(s) : Turner, James C.

PDF Url : ADA290355

Report Date : DEC 1994

Pagination or Media Count : 40

Abstract : The research supported by this grant included two projects: (1) Temperature Control In Polymer Extrusion Processes, here an optimization problem was formulated. This problem was motivated by the desire to obtain uniform extrudate temperature at the die exit in a polymer extrusion process. Control was effected by adjustments to the heat flux along the surface of the pipe. An optimality system of partial differential equations was derived from which optimal controls and states may be determined. Then, finite element discretizations of the optimality system were defined and error estimates were provided along with an efficient solution algorithm for the discreet. Finally, computational results were given for a model example with Oldroyd type fluid, demonstrating the effectiveness of our theory and methods, as well as their potential applicability to industrial problems. (2) Analysis and Finite Element Approximation of An Optimal Control Problem in Electrochemistry with Current Density Controls, here an optimal control problem for impressed cathodic systems in electrochemistry was studied. The control in this problem was the current density on the anode. A matching objective functional was considered. The existence of an optimal solution was proved. The use of Lagrange multiplier rules was justified and an optimality system of equations established. Finally, a finite element algorithm was defined and optimal error estimates were derived.

Descriptors :   *POLYMERS, *EXTRUSION, *ELECTROCHEMISTRY, *CURRENT DENSITY, *DIGITAL SIMULATION, *NONNEWTONIAN FLUIDS, ALGORITHMS, CONTROL, OPTIMIZATION, COMPUTATIONS, FINITE ELEMENT ANALYSIS, EFFICIENCY, COOLING, PIPES, ESTIMATES, DIES, SURFACES, SOLUTIONS(GENERAL), ERROR ANALYSIS, QUALITY CONTROL, PARTIAL DIFFERENTIAL EQUATIONS, TEMPERATURE CONTROL, NUMERICAL METHODS AND PROCEDURES, EQUATIONS, HEAT FLUX.

Subject Categories : Industrial Chemistry and Chemical Processing
      Physical Chemistry
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE