Gravity-induced segregation of cohesionless granular mixtures

Working with the context of a theory proposed recently by Fried et al. (2001), we consider a one-dimensional problem involving granular mixture of K > 2 discrete sizes bounded below by an impermeable base, above by an evolving free surface, and subject to gravity. We demonstrate the existence of a solution in which the medium segregates by particle size. For a mixture of small and large particles (K = 2), we use methods of Smoller (1994) to show that the segregated solution is unique. Further, for a mixture of small, medium, and large particles (K = 3), we use LeVeque's (1994) CLAWPACK to construct numerical solutions and find that these compare favorably with analytical predictions.published or submitted for publicationis peer reviewe

Development of a Case Study Problem in Engineering Economics Based on a Telephone Replacement Undertaking at UW-Platteville

General Engineering 2820 (GE 2820) is a course offered to all undergraduate students at the College of Engineering, Mathematics, and Science (EMS), University of Wisconsin –Platteville. A constant exercise for the instructors in this course is to update the course material with interesting case study problems which are then solved by students as an assignment. In recent days, the University of Wisconsin –Platteville, is contemplating replacement of its current Voice over IP (VoIP) phone service (catered by the local utility company “Century Link”) with a “Unified Communications” service. Current services cost the university $18,900 per month. With the new system being contemplated and the since the university has necessary infrastructure in place, the cost for the university is estimated to be approximately$7000 per month. Therefore, a breakeven analysis was undertaken for studying the economic feasibility of this undertaking by the students in this course. Part of this case study involved – defining the problem correctly, processing the interest rate data so as to calculate an appropriate effective annual rate, processing the financial data related to the phone services, and finally performing a breakeven study using the annual worth computation. Based on student performances, such case study problems have benefited the students in understanding the concepts of time value of money and various method of analysis in engineering economy

Disclinations in a homogeneously deformed nematic elastomer

We consider the question of whether a nematic elastomer cross-linked in an isotropic state and then subjected to an isochoric, homogenous deformation can exhibit a disclination. The theory that we use allows for the polymer chains that comprise the network to adopt spherical, uniaxial, or biaxial conformations. The conformation is represented in terms of an orthogonal pair of directors and an associated pair of asphericities. A disclination is a tubular region in which the asphericities vanish and the directors are undefined, so that the conformation is spherical and the material appears to be isotropic. We apply the theory to a cylindrical specimen with circular cross-section deformed so that each cross-section becomes an ellipse. Assuming that, when they exist, the directors are parallel to the level sets of the deformation, the governing equations of the theory reduce to a boundary-value problem involving a pair of semilinear elliptic partial-differential equations for the asphericities. Numerical solutions of that problem predict that the specimen can adopt states in which an isotropic tubular core with characteristic cross-section on the order of 10^-2 ??m is surrounded by material in which the conformation is biaxial. Energetic considerations show that, for reasonable choices of the material properties, such states are preferred for strains greater than or equal to 0.7% and thus a...[more]...published or submitted for publicationis peer reviewe

Evaluation Of Two Lanthanide Complexes For Qualitative And Quantitative Analysis Of Target Proteins Via Partial Least Squares Analysis

Two lanthanide complexes, namely 5-aminosalicylic acid ethylenediaminetetraacetate europium(III) (5As-EDTA-Eu3+) and 4-aminosalicylic acid ethylenediaminetetraacetate terbium(III), were evaluated for the analysis of carbonic anhydrase, human serum albumin (HSA), and γ-globulin. Quantitative analysis is based on their luminescence enhancement upon protein binding and qualitative analysis on their lifetime capability to recognize the binding protein. Analytical figures of merit are presented for the three proteins. The limits of detection with 5As-EDTA-Eu 3+ are at the parts per billion level. Partial least square regression analysis is used to determine HSA and γ-globulin in binary mixtures without previous separation at the concentration ranges typically found in clinical tests of human blood serum. © 2004 Elsevier Inc. All rights reserved

An Investigation On The Analytical Potential Of Polymerized Liposomes Bound To Lanthanide Ions For Protein Analysis

We present a promising approach to protein sensing based on Eu3+ ions incorporated into polymerized liposomes. The sensitization of Eu 3+ is accomplished with 5-aminosalicylic acid, which provides energy transfer for a stable reference signal and a wide wavelength excitation range free from protein interference. The lipophilic character of polymerized liposomes provides the appropriate platform for protein interaction with the lanthanide ion. Quantitative analysis is based on the linear relationship between the luminescence signal of Eu3+ and protein concentration. Because no spectral shift of the lanthanide luminescence is observed upon protein interaction, qualitative analysis is based on the luminescence lifetime of polymerized liposomes. This parameter, which changes significantly upon protein-liposome interaction, follows a well-behaved single-exponential decay that might be useful for protein identification

Evaluation of two lanthanide complexes for qualitative and quantitative analysis of target proteins via partial least squares analysis

Two lanthanide complexes, namely 5-aminosalicylic acid ethylenediaminetetraacetate europium(III) (5As-EDTA-Eu3+) and 4-aminosalicylic acid ethylenediaminetetraacetate terbium(III), were evaluated for the analysis of carbonic anhydrase, human serum albumin (HSA), and c-globulin. Quantitative analysis is based on their luminescence enhancement upon protein binding and qualitativeanalysis on their lifetime capability to recognize the binding protein. Analytical figures of merit are presented for the three proteins. The limits of detection with 5As-EDTA-Eu3+ are at the parts per billion level. Partial least square regression analysis is used to determine HSA and c-globulin in binary mixtures without previous separation at the concentration ranges typically found in clinical tests of human blood serum.Fil: Goicoechea, Hector Casimiro. Universidad Nacional del Litoral. Facultad de Bioquímica y Ciencias Biológicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; Argentina. University of Central Florida; Estados UnidosFil: Roy, Bidhan C.. North Dakota State University; Estados UnidosFil: Santos, Marina. University of Central Florida; Estados Unidos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; ArgentinaFil: Campiglia, Andres D.. University of Central Florida; Estados UnidosFil: Mallik, Sanku. North Dakota State University; Estados Unido