The problem of the effect of Joule heating generation on the hydrodynamic profile and the solute transport found in electrophoretic devices is addressed in this article. The research is focused on the following two problems: The first one is centered around the effect of Joule heating on the hydrodynamic velocity profile and it is referred to as "the carrier fluid problem." The other one is related to the effect of Joule heating on the solute transport inside electrophoretic cells and it is referred to as "the solute problem". The hydrodynamic aspects were studied first to yield the velocity profiles required for analysis of the solute transport problem. The velocity profile obtained in this study is analytical and the results are valid for non-Newtonian fluids carriers. To this end, the power-law model was used to study the effect of the rheology of the material in conjunction with the effect of Joule heating generation inside batch electrophoretic devices. This aspect of the research was then effectively used to study the effect of Joule heating generation on the motion of solutes (such as macromolecules) under the influence of non-Newtonian carriers. This aspect of the study was performed using an area-averaging approach that yielded analytical results for the effective diffusivity of the device
The Joule heating effects on hydrodynamics are examined for the case of a non-Newtonian fluid flowing in a batch electrophoretic cell. The potential benefits of using non-Newtonian fluids in electrophoretic separations could lead, for example, to an increase in the efficiency of separations and to a better scale-up of the operation for the processing of large quantities on a pilot or even an industrial scale. The analysis conducted in this research is based on the formulation of simplified mathematical models that can capture the most relevant aspects of the physics of the free convection that takes place in a batch electrophoretic cell. The first aspect is associated with the carrier fluid when no solute sample (of particles or macromolecules) is added to the device. This is, indeed, a carrier fluid completely free of solute problem. This aspect of the research is referred to as the carrier fluid problem. The second aspect involved in the investigation is the analysis of the mass transport (i.e., convective-diffusive) process associated with the motion of a solute sample added to the carrier fluid. This particular aspect of the research is referred to as the solute problem of the free-convection electrophoretic cell. The two problems are sequentially coupled and the solution of the carrier fluid problem must be performed first in order to have the velocity profile to study the solute problem. Details about hydrodynamic considerations and the solution approach are discussed in this contribution
Resumen: En este trabajo identificamos algunos factores que inciden en el tiempo de trabajo de los trabajadores chilenos en 2003. Se concluye que la precariedad laboral incide de modo significativo en las horas trabajadas sin embargo la relación cambia a partir de cierto nivel cuando las personas no pueden trabajar la jornada por falta de oportunidades. Ello sugiere que el sobre-trabajo y el sub-empleo son manifestaciones del mismo fenómeno por lo cual nuevas medidas para flexibilizar los derechos patronales agravarían estos problemas. Asimismo, se devela una relación negativa entre salario por hora y horas trabajadas para cerca del 80% de los trabajadores. Esto hace pensar que las necesidades básicas están insatisfechas; además contradice la porción significativa de la curva de oferta laboral de los libros de texto de microeconomía. Estas relaciones se confirman en un modelo exploratorio añadiendo variables de control de tipo regional, demográfico y productivo.Palabras clave: sobretiempo, precariedad laboral, Chile
Overtime of Labor in Chile 2003: An explorer modelAbstract: In this work we identify some factors that affect labor time in the Chilean workers in 2003. We conclude that labor precarity is import to explicate over time and under standard time. It suggests what underemployment and over-time are manifestations of the same phenomena, and then new measure to make more flexible labor would aggravate those problems. Also, we show a negative relation between wage and hours to 80% of workers because basics needs are unsatisfied, refuting the positive curve of labor supply of textbooks. Its relations are confirmed in our exploratory model adding control variables of regional, demographic and productive type.
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