
Moreover, the energy of the capacitor of the three hemoglobin was determined. This was applied to the normal human hemoglobin, homozygous sickle hemoglobin, and sickle cell hemoglobin C disease. The comparison of the capacity determined by the mean of this coefficient, and determined by geometrical considerations, gives similar results although more thermodynamic information is derived by the capacity determined considering the aforementioned coefficient. This model is suggested by considering a phenomenological coefficient of the non-equilibrium thermodynamic theory related to the displacement polarization current. In detail, we introduce the concept of “hemoglobe”, a model that considers the hemoglobin molecule as a plane capacitor, the dielectric of which is almost entirely constituted by the quaternary structure of the protein.

The knowledge of these functions allows a new characterization of the material and leads to the study of new phenomena that has yet to be studied. In previous papers, we determined the explicit expression of a dielectric constant as a function of a complex dielectric modulus and frequency. After some remarks on the non-equilibrium thermodynamic theory with internal variables, some thermodynamic functions are determined by the value of the complex dielectric constant. Our study is based on theoretical methods extrapolated by experimental data. In this paper, we formulate a thermodynamic model of hemoglobin that describes, by a physical point of view, phenomena favoring the binding of oxygen to the protein. A comparison study and validation of the new correlation showed an improved prediction performance. In view of this, a new empirical correlation for the calculation of slug translational velocity in highly viscous two-phase flow is proposed. Existing slug translational velocity prediction models in literature were assessed based on the present high viscosity data for which statistical analysis revealed discrepancies. The results obtained show that slug translational velocity increases with increase in liquid viscosity. Measurement was by means of a pair of gamma densitometer with fast sampling frequencies (up to 250 Hz). Air and mineral oil with viscosities within the range of 1.0–5.5 Pa Here, we investigate the influence of high liquid viscosity on slug translational velocity in a horizontal pipeline of 76.2-mm internal diameter. However, slug translational velocity is expected to be affected by the fluid viscosity. Existing prediction models in literature were developed based on observation from low viscosity liquids, neglecting the effects of fluid properties (i.e., viscosity). Slug translational velocity, described as the velocity of slug units, is the summation of the maximum mixture velocity in the slug body and the drift velocity. Authors may use MDPI'sĮnglish editing service prior to publication or during author revisions. Submitted papers should be well formatted and use good English. The Article Processing Charge (APC) for publication in this open access journal is 1600 CHF (Swiss Francs). Please visit the Instructions for Authors page before submitting a manuscript. Fluids is an international peer-reviewed open access monthly journal published by MDPI. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. All manuscripts are thoroughly refereed through a single-blind peer-review process. Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers).

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Research articles, review articles as well as short communications are invited. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. All submissions that pass pre-check are peer-reviewed. Manuscripts can be submitted until the deadline. Once you are registered, click here to go to the submission form. Manuscripts should be submitted online at by registering and logging in to this website. These fluids include the traditional non-Newtonian fluid models, electro- or magneto-rheological fluids, granular materials, slurries, drilling fluids, polymers, blood and other biofluids, mixtures of fluids and particles, etc. This Special Issue of Fluids is dedicated to the recent advances in the mathematical and physical modeling of Non-linear fluids with industrial applications, especially those concerned with CFD studies. Non-Newtonian (non-Linear) fluids are common in nature, for example, mud, honey, but also in many chemical, biological, food, pharmaceutical, and personal care processing industries.
