The present research thrust is concentrated in the area of non-Newtonian flows and continuum mechanics, and in particular in viscoelastic flows and non-isothermal interfacial mechanics. Contributions cover investigations of new flow configurations to be used as rheometers, methods to compute interface shapes, solutions to some fundamental problems in non-Newtonian fluid mechanics which predict for the first time trends shown by the existing data without contradicting some aspect of it such as flow rate enhancement in pulsating flow, development of a new method to invert Fredholm integral equations of the first kind when the data is experimental and the discovery of novel effects in porous media flow. The former uses a new minimax method to optimize the solution in a well-defined space to circumvent the non-uniqueness inherent in the inversion of the Fredholm equations of the first kind when the data is experimental and obtain a unique kernel of the Fredholm equation as the result of the inversion. The latter shows for the first time that in a porous medium made up of layers in series of different permeabilities with or without the same porosity the energy requirements for the same flow rate of a viscoelastic liquid is much larger when the flow direction coincides with the direction of the permeability gradient than if the flow proceeds in the opposite direction. The latest research effort focuses on the secondary flows in pipes. A novel analytical method is developed which allows the computation of secondary flows of viscoelastic fluids in laminar longitudinal flow in straight conduits of arbitrary shape with symmetry such as triangular, rectangular and hexagonal as well as asymmetry such as L shaped. The method gives insight to the structure of these flows when even numerical methods fail to yield reliable results.

o Refereed archival journal papers: 41
o Book chapters: 6
o Refereed full-length conference papers: 50
o Extended abstracts and abstracts: 40
o Books (authored): 2
o Books (translated): 1
o Books (edited): 21
o Research funding: $3,000,000
o Served as advisor to a career total of 16 graduate students
o Served on the Committees of 26 graduate students