Effective thermal conductivity of beans via a steady-state method

Steady-state concentric cylinder equipment was used to determine the effective thermal conductivity of beans (Phaseolus vulgaris). The measuring cell had no heated end guards and its length to diameter ratio was 10.5. Glass beads were employed to assess the accuracy and repeatability of the experimental system under heat transfer conditions. The results agree well with those reported in the literature so that the system can be considered reliable. Corn was used to verify the system's accuracy under heat and mass transfer conditions. Again the results were satisfactory. Moisture migration was observed and measured during the tests with beans, but this behavior does not compromise thermal conductivity values if both thermal and mass transfer steady-states are correctly interpreted. The effective thermal conductivity increases linearly with increasing grain moisture content. Statistical regression leads to good estimates of the fitted parameters.

CROCODYLOMORPH EGGS and EGGSHELLS FROM THE ADAMANTINA FORMATION (BAURU GROUP), UPPER CRETACEOUS of BRAZIL

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Cinética de absorção de silício por cultivares de cana-de-açúcar e de arroz

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Caracterização morfológica, química e conservação in vitro de Pfaffia glomerata(Sprengel)Pedersen

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Melhoramento participativo de abóbora (Cucurbita moschata Dusch), sob manejo biodinâmico

Pós-graduação em Agronomia (Horticultura) - FCA

Características da carne de cordeiros alimentados com glicerina proveniente da produção de biodiesel

Pós-graduação em Zootecnia - FCAV

Age-adjusted recipient pretransplantation telomere length and treatment-related mortality after hematopoietic stem cell transplantation

Telomere attrition induces cell senescence and apoptosis. We hypothesized that age-adjusted pretransplantation telomere length might predict treatment-related mortality (TRM) after hematopoietic stem cell transplantation (HSCT). Between 2000 and 2005, 178 consecutive patients underwent HSCT from HLA-identical sibling donors after myeloablative conditioning regimens, mainly for hematologic malignancies (n = 153). Blood lymphocytes' telomere length was measured by real-time quantitative PCR before HSCT. Age-adjusted pretransplantation telomere lengths were analyzed for correlation with clinical outcomes. After age adjustment, patients' telomere-length distribution was similar among all 4 quartiles except for disease stage. There was no correlation between telomere length and engraftment, GVHD, or relapse. The overall survival was 62% at 5 years (95% confidence interval [CI], 54-70). After a median follow-up of 51 months (range, 1-121 months), 43 patients died because of TRM. The TRM rate inversely correlated with telomere length. TRM in patients in the first (lowest telomere length) quartile was significantly higher than in patients with longer telomeres (P = .017). In multivariate analysis, recipients' age (hazard ratio, 1.1; 95% CI, .0-1.1; P = .0001) and age-adjusted telomere length (hazard ratio, 0.4; 95% CI; 0.2-0.8; P = .01) were independently associated with TRM. In conclusion, age-adjusted recipients' telomere length is an independent biologic marker of TRM after HSCT. (Blood. 2012;120(16):3353-3359)

Longitudinal bar buckling behavior

Reinforced concrete columns might fail because of buckling of the longitudinal reinforcing bar when exposed to earthquake motions. Depending on the hoop stiffness and the length-over-diameter ratio, the instability can be local (in between two subsequent hoops) or global (the buckling length comprises several hoop spacings). To get insight into the topic, an extensive literary research of 19 existing models has been carried out including different approaches and assumptions which yield different results. Finite element fiberanalysis was carried out to study the local buckling behavior with varying length-over-diameter and initial imperfection-over-diameter ratios. The comparison of the analytical results with some experimental results shows good agreement before the post buckling behavior undergoes large deformation. Furthermore, different global buckling analysis cases were run considering the influence of different parameters; for certain hoop stiffnesses and length-over-diameter ratios local buckling was encountered. A parametric study yields an adimensional critical stress in function of a stiffness ratio characterized by the reinforcement configuration. Colonne in cemento armato possono collassare per via dell’instabilità dell’armatura longitudinale se sottoposte all’azione di un sisma. In funzione della rigidezza dei ferri trasversali e del rapporto lunghezza d’inflessione-diametro, l’instabilità può essere locale (fra due staffe adiacenti) o globale (la lunghezza d’instabilità comprende alcune staffe). Per introdurre alla materia, è proposta un’esauriente ricerca bibliografica di 19 modelli esistenti che include approcci e ipotesi differenti che portano a risultati distinti. Tramite un’analisi a fibre e elementi finiti si è studiata l’instabilità locale con vari rapporti lunghezza d’inflessione-diametro e imperfezione iniziale-diametro. Il confronto dei risultati analitici con quelli sperimentali mostra una buona coincidenza fino al raggiungimento di grandi spostamenti. Inoltre, il caso d’instabilità globale è stato simulato valutando l’influenza di vari parametri; per certe configurazioni di rigidezza delle staffe e lunghezza d’inflessione-diametro si hanno ottenuto casi di instabilità locale. Uno studio parametrico ha permesso di ottenere un carico critico adimensionale in funzione del rapporto di rigidezza dato dalle caratteristiche dell’armatura.

Controlled wetting on silica-based nano- and microstructured surfaces

Der Fokus dieser Doktorarbeit liegt auf der kontrollierten Benetzung von festen Oberflächen, die in vielen Bereichen, wie zum Beispiel in der Mikrofluidik, für Beschichtungen und in biologischen Studien von Zellen oder Bakterien, von großer Bedeutung ist.rnDer erste Teil dieser Arbeit widmet sich der Frage, wie Nanorauigkeit das Benetzungsverhalten, d.h. die Kontaktwinkel und die Pinningstärke, von hydrophoben und superhydrophoben Beschichtungen beeinflusst. Hierfür wird eine neue Methode entwickelt, um eine nanoraue Silika-Beschichtung über die Gasphase auf eine superhydrophobe Oberfläche, die aus rauen Polystyrol-Silika-Kern-Schale-Partikeln besteht, aufzubringen. Es wird gezeigt, dass die Topographie und Dichte der Nanorauigkeiten bestimmt, ob sich die Superhydrophobizität verringert oder erhöht, d.h. ob sich ein Flüssigkeitstropfen im Nano-Wenzel- oder Nano-Cassie-Zustand befindet. Das verstärkte Pinning im Nano-Wenzel-Zustand beruht auf dem Eindringen von Flüssigkeitsmolekülen in die Nanoporen der Beschichtung. Im Nano-Cassie-Zustand dagegen sitzt der Tropfen auf den Nanorauigkeiten, was das Pinning vermindert. Die experimentellen Ergebnisse werden mit molekulardynamischen Simulationen in Bezug gesetzt, die den Einfluss der Oberflächenbeschichtungsdichte und der Länge von fluorinierten Silanen auf die Hydrophobizität einer Oberfläche untersuchen. rnEs wurden bereits verschiedenste Techniken zur Herstellung von transparenten superhydrophoben, d.h. extrem flüssigkeitsabweisenden, Oberflächen entwickelt. Eine aktuelle Herausforderung liegt darin, Funktionalitäten einzuführen, ohne die superhydrophoben Eigenschaften einer Oberfläche zu verändern. Dies ist extrem anspruchsvoll, da funktionelle Gruppen in der Regel hydrophil sind. In dieser Arbeit wird eine innovative Methode zur Herstellung von transparenten superhydrophoben Oberflächen aus Janus-Mikrosäulen mit variierenden Dimensionen und Topographien entwickelt. Die Janus-Säulen haben hydrophobe Seitenwände und hydrophile Silika-Oberseiten, die anschließend selektiv und ohne Verlust der superhydrophoben Eigenschaften der Oberfläche funktionalisiert werden können. Diese selektive Oberflächenfunktionalisierung wird mittels konfokaler Mikroskopie und durch das chemische Anbinden von fluoreszenten Molekülen an die Säulenoberseiten sichtbar gemacht. Außerdem wird gezeigt, dass das Benetzungsverhalten durch Wechselwirkungen zwischen Flüssigkeit und Festkörper in der Nähe der Benetzungslinie bestimmt wird. Diese Beobachtung widerlegt das allgemein akzeptierte Modell von Cassie und Baxter und beinhaltet, dass hydrophile Flächen, die durch mechanischen Abrieb freigelegt werden, nicht zu einem Verlust der Superhydrophobizität führen müssen, wie allgemein angenommen.rnBenetzung kann auch durch eine räumliche Beschränkung von Flüssigkeiten kontrolliert werden, z.B. in mikrofluidischen Systemen. Hier wird eine modifizierte Stöber-Synthese verwendet, um künstliche und natürliche Faser-Template mit einer Silika-Schicht zu ummanteln. Nach der thermischen Zersetzung des organischen Templat-Materials entstehen wohldefinierte Silika-Kanäle und Kanalkreuzungen mit gleichmäßigen Durchmessern im Nano- und Mikrometerbereich. Auf Grund ihrer Transparenz, mechanischen Stabilität und des großen Länge-zu-Durchmesser-Verhältnisses sind die Kanäle sehr gut geeignet, um die Füllgeschwindigkeiten von Flüssigkeiten mit variierenden Oberflächenspannungen und Viskositäten zu untersuchen. Konfokale Mikroskopie ermöglicht es hierbei, die Füllgeschwindigkeiten über eine Länge von mehreren Millimetern, sowie direkt am Kanaleingang zu messen. Das späte Füllstadium kann sehr gut mit der Lucas-Washburn-Gleichung beschrieben werden. Die anfänglichen Füllgeschwindigkeiten sind jedoch niedriger als theoretisch vorhergesagt. Wohingegen die vorhergehenden Abschnitte dieser Arbeit sich mit der quasistatischen Benetzung beschäftigen, spielt hier die Dynamik der Benetzung eine wichtige Rolle. Tatsächlich lassen sich die beobachteten Abweichungen durch einen geschwindigkeitsabhängigen Fortschreitkontaktwinkel erklären und durch dynamische Benetzungstheorien modellieren. Somit löst diese Arbeit das seit langem diskutierte Problem der Abweichungen von der Lucas-Washburn-Gleichung bei kleinen Füllgeschwindigkeiten.

Optimización de la aplicación de lodos de depuración de aguas residuales al abonado o mejora de suelos

El objetivo de este trabajo de investigación fue evaluar el efecto de la aplicación de lodos residuales procedentes de una planta de tratamiento de aguas residuales acondicionados como biosólido para el abonado de tres cultivos agrícolas. Esto se realizó a través del estudio de las variables de producción (desarrollo vegetal de cada cultivo) y de la comparación de las características de los suelos utilizados antes y después de los ensayos experimentales. A través de la investigación se confirmó la mejora en la calidad del suelo y mejor rendimiento de cultivo debido a los biosólidos procedentes de tratamiento de aguas residuales. Este trabajo de investigación de tipo descriptivo y experimental, utilizó lodos optimizados que fueron aplicados a tres cultivos agrícolas de ciclo corto. Fueron evaluados dos cultivos (sandía y tomate) bajo riego y un cultivo (arroz) en secano. En la primera fase del trabajo se realizó la caracterización de los lodos, para ellos se realizaron pruebas físico químicas y microbiológicas. Fue utilizado el método de determinación de metales por espectrometría de emisión atómica de plasma acoplado inductivamente, (ICP-AES) para conocer las concentraciones de metales. La caracterización microbiológica para coliformes totales y fecales se realizó utilizando la técnica del Número más probable (NMP), y para la identificación de organismos patógenos se utilizó el método microbiológico propuesto por Kornacki & Johnson (2001), que se fundamenta en dos procesos: pruebas presuntivas y prueba confirmativa. Tanto los resultados para la determinación de metales y elementos potencialmente tóxicos; como las pruebas para la determinación de microorganismos potencialmente peligrosos, estuvieron por debajo de los límites considerados peligrosos establecidos por la normativa vigente en Panama (Reglamento Técnico COPANIT 47-2000). Una vez establecido la caracterización de los lodos, se evalúo el potencial de nutrientes (macro y micro) presentes en los biosólidos para su potencial de uso como abono en cultivos agrícolas. El secado de lodos fue realizado a través de una era de secado, donde los lodos fueron deshidratados hasta alcanzar una textura pastosa. “La pasta de lodo” fue transportada al área de los ensayos de campo para continuar el proceso de secado y molida. Tres ensayos experimentales fueron diseñados al azar con cinco tratamientos y cuatro repeticiones para cada uno de los tres cultivos: sandía, tomate, arroz, en parcelas de 10m2 (sandía y tomate) y 20 m2 (arroz) para cada tratamiento. Tres diferentes dosis de biosólidos fueron evaluadas y comparadas con un tratamiento de fertilizante comercial y un tratamiento control. La dosis de fertilizante comercial utilizada en cada cultivo fue la recomendada por el Instituto de Investigación Agropecuaria de Panamá. Los ensayos consideraron la caracterización inicial del suelo, la preparación del suelo, semilla, y arreglo topográfico de los cultivos siguiendo las recomendaciones agronómicas de manejo de cultivo establecida por el Instituto de Investigación Agropecuaria. Para los ensayos de sandía y tomate se instaló el sistema de riego por goteo. Se determinaron los ácidos húmicos presentes en los cultivos, y se estudiaron las variables de desarrollo de cada cultivo (fructificación, cosecha, peso de la cosecha, dimensiones de tamaño y color de las frutas, rendimiento, y la relación costo – rendimiento). También se estudiaron las variaciones de los macro y micro nutrientes y las variaciones de pH, textura de suelo y MO disponible al inicio y al final de cada uno de los ensayos de campo. Todas las variables y covariables fueron analizadas utilizando el programa estadístico INFOSAT (software para análisis estadístico de aplicación general) mediante el análisis de varianza, el método de comparaciones múltiples propuesto por Fisher (LSD Fisher) para comparar las medias de los cultivares y el coeficiente de correlación de Pearson que nos permite analizar si existe una asociación lineal entre dos variables. En la evaluación de los aportes del biosólido a los cultivos se observó que los macronutrientes N y P se encontraban de los límites requeridos en cada uno de los cultivos, pero que los niveles de K estuvieron por debajo de los requerimientos de los cultivos. A nivel de la fertilización tradicional con fertilizante químico se observó que la dosis recomendada para cada uno de los cultivos del estudio estaba sobreestimada en los tres principales macronutrientes: Nitrógeno, Fosforo y Potasio. Contenían concentraciones superiores de N, P y K a las requeridas teóricamente por el cultivo. El nutriente que se aporta en exceso es el Fósforo. Encontramos que para el cultivo de sandía era 18 veces mayor a lo requerido por el cultivo, en tomate fue 12 veces mayor y en el cultivo de arroz, 34 veces mayor. El fertilizante comercial tuvo una influencia en el peso final y rendimiento final en cada uno de los cultivos del estudio. A diferencia, los biosólidos tuvieron una influencia directa en el desarrollo de los cultivos (germinación, coloración, tamaño, longitud, diámetro, floración y resistencia a enfermedades). Para el caso de la sandía la dosis de biosólido más cercana al óptimo para el cultivo es la mayor dosis aplicada en este ensayo (97.2 gramos de biosólido por planta). En el caso de tomate, el fertilizante comercial obtuvo los mejores valores, pero las diferencias son mínimas con relación al tratamiento T1, de menor dosis de biosólido (16.2 gramos de biosólido por planta). Los resultados generales del ensayo de tomate estuvieron por debajo del rendimiento esperado para el cultivo. Los tratamientos de aplicación de biosólidos aportaron al desarrollo del cultivo en las variables tamaño, color y resistencia a las enfermedades dentro del cultivo de tomate. Al igual que el tomate, en el caso del arroz, el tratamiento comercial obtuvo los mejores resultados. Los resultados finales de peso y rendimiento del cultivo indican que el tratamiento (T2), menor dosis de biosólido (32.4 gramos por parcela), no tuvo diferencias significativas con los resultados obtenidos en las parcelas con aplicación de fertilizante comercial (T1). El tratamiento T4 (mayor dosis de biosólido) obtuvo los mejores valores para las variables germinación, ahijamiento y espigamiento del cultivo, pero al momento de la maduración obtuvo los menores resultados. Los biosólidos aportan nutrientes a los cultivos y al final del ensayo se observó que permanecen disponibles en el suelo, aportando a la mejora del suelo final. En los tres ensayos, se pudo comprobar que los aportes de los biosólidos en el desarrollo vegetativo de los cultivos. También se encontró en todos los ensayos que no hubo diferencias significativas (p > 0.05) entre los tratamientos de biosólidos y fertilizante comercial. Para obtener mejores resultados en estos tres ensayos se requeriría que a la composición de biosólidos (utilizada en este ensayo) se le adicione Potasio, Calcio y Magnesio en las cantidades requeridas por cada uno de los cultivos. ABSTRACT The objective of this investigation was to evaluate the effect of residual sewage sludge obtained from the residual water of a treatment plant conditioned as Biosolid used on three reliable agricultural crops. The effect of the added sewage sludge was evaluated through the measurement of production variables such as crop plant development and the comparison of the soil characteristics used before and after the experimental tests. This investigation confirmed that biosolids from wastewater treatment can contribute to the growth of these crops. In this experimental approach, optimized sludge was applied to three short-cycle crops including two low-risk crops (watermelon and tomato) and one high-risk crop (rice) all grown on dry land. In the first phase of work, the characteristics of the sludge were assessed using chemical, physical and microbiological tests. The concentrations of metals were determined by atomic emission spectrometry inductively coupled plasma, (ICP-AES). Microbiological characterization was performed measuring total coliform and fecal count using the most probable number technique (NMP) and microbiological pathogens were identified using Kornacki & Johnson (2001) method based on two processes: presumptive and confirmatory tests. Both the results for the determination of metals and potentially toxic elements, as testing for the determination of potentially dangerous microorganisms were below the limits established by the applicable standard in Panama (Technical Regulate COPANIT 47-2000). After the metal and bacterial characterization of the sludge, the presence of macro or micronutrients in biosolids was measured to evaluate its potential for use as fertilizer in the growth of agricultural crops. The sludge was dehydrated via a drying process into a muddy slurry. The pulp slurry was transported to the field trial area to continue the process of drying and grinding. Three randomized experimental trials were designed to test with five treatment regimens and four replications for each of the crops: watermelon, tomato, rice. The five treatment regimens evaluated were three different doses of bio solid with commercial fertilizer treatment control and no fertilizer treatment control. Treatment areas for the watermelon and tomato were 10m2 plots land and for rice was 20m2. The amount of commercial fertilizer used to treat each crop was based on the amount recommended by Agricultural Research Institute of Panama. The experimental trials considered initial characterization of soil, soil preparation, seed, and crop topographical arrangement following agronomic crop management recommendations. For the tests evaluating the growth of watermelons and tomatoes and drip irrigation system was installed. The amount of humic acids present in the culture were determined and developmental variable of each crop were studied (fruiting crop harvest weight, size dimensions and color of the fruit, performance and cost effectiveness). Changes in macro and micronutrients and changes in pH, soil texture and OM available were measured at the beginning and end of each field trial. All variables and covariates were analyzed using INFOSAT statistical program (software for statistical analysis of general application) by analysis of variance, multiple comparisons method as proposed by Fisher (LSD Fisher) to compare the means of cultivars and the Pearson ratio that allows us to analyze if there is a linear association between two variables. In evaluating the contribution of biosolids to agricultural crops, the study determined that the macronutrients N & P were within the requirements of crops, but K levels were below the requirements of crops. In terms of traditional chemical fertilizer fertilization, we observed that the recommended dose for each study crop was overestimated for the three major nutrients: nitrogen, phosphorus and potassium. Higher concentrations containing N, P and K to the theoretically required by the crop. The recommended dose of commercial fertilizer for crops study contained greater amounts of phosphorus, crops that need. The level of phosphorous was found to be18 times greater than was required for the cultivation of watermelon; 12 times higher than required for tomato, and 34 times higher than required for rice cultivation. Phosphorus inputs of commercial fertilizer were a primary influence on the weight and performance of each crop. Unlike biosolids had a direct influence on crop development (germination, color, size, length, diameter, flowering and disease resistance). In the case of growth of watermelons, the Biosolid dose closest to the optimum for cultivation was applied the highest dose in this assay (97.2 grams of bio solids per plant). In the case of tomatoes, commercial fertilizer had the best values but the differences were minimal when compared to treatment T1, the lower dose of sewage sludge (Biosolid 16.2 grams per plant). The overall results for the tomato crop yield of the trial were lower than expected. Additionally, the application of biosolids treatment contributed to the development of fruit of variable size, color and disease resistance in the tomato crops. Similar to the tomato crop, commercial fertilizer treatment provided the best results for the rice crop. The final results of weight and crop yield for rice indicated that treatment with T2 amount of biosolids (34.2 grams per plot) was not significantly different from the result obtained in the application plot given commercial fertilizer (T1). The T4 (higher dose of bio solid) treatment had the best values for the germination, tillering and bolting variables of the rice crop but for fruit ripening yielded lower results. In all three trials, biosolids demonstrated the ability to contribute in the vegetative growth of crops. It was also found in all test no significant differences (p>0.05) between treatment of bio solid and commercial fertilizer. Biosolids provided nutrients to the crops and even at the end of the trial remained available in the ground soil, contributing to the improvement of the final ground. The best results from these three trials is that the use of bio solids such as those used in this assay would require the addition of potassium, calcium and magnesium in quantities required for each crop.

Modeling dimensional shrinkage of shaped foods in fluidized bed drying

Three particular geometrical shapes of parallelepiped, cylinder and sphere were selected from cut beans (length : diameter = 1: 1, 2:1, 3: 1), potatoes (aspect ratio = 1:1, 2:1, 3:1) and peas, respectively. The dimensional shrinkage behavior was studied in a batch fluidized bed at three drying temperatures of 30, 40 and 50C. Relative humidity of hot air was kept at 15%. Dimensional shrinkage was plotted using a nondimensional moisture ratio and the shrinkage behavior of the selected foods was modeled with simple mathematical models.

Effects of Drive Speed Modulation on Dynamics of Slender Rotating Structures

Slender rotating structures are used in many mechanical systems. These structures can suffer from undesired vibrations that can affect the components and safety of a system. Furthermore, since some these structures can operate in a harsh environment, installation and operation of sensors that are needed for closed-loop and collocated control schemes may not be feasible. Hence, the need for an open-loop non-collocated scheme for control of the dynamics of these structures. In this work, the effects of drive speed modulation on the dynamics of slender rotating structures are studied. Slender rotating structures are a type of mechanical rotating structures, whose length to diameter ratio is large. For these structures, the torsion mode natural frequencies can be low. In particular, for isotropic structures, the first few torsion mode frequencies can be of the same order as the first few bending mode frequencies. These situations can be conducive for energy transfer amongst bending and torsion modes. Scenarios with torsional vibrations experienced by rotating structures with continuous rotor-stator contact occur in many rotating mechanical systems. Drill strings used in the oil and gas industry are an example of rotating structures whose torsional vibrations can be deleterious to the components of the drilling system. As a novel approach to mitigate undesired vibrations, the effects of adding a sinusoidal excitation to the rotation speed of a drill string are studied. A portion of the drill string located within a borewell is considered and this rotating structure has been modeled as an extended Jeffcott rotor and a sinusoidal excitation has been added to the drive speed of the rotor. After constructing a three-degree-of-freedom model to capture lateral and torsional motions, the equations of motions are reduced to a single differential equation governing torsional vibrations during continuous stator contact. An approximate solution has been obtained by making use of the Method of Direct Partition of Motions with the governing torsional equation of motion. The results showed that for a rotor undergoing forward or backward whirling, the addition of sinusoidal excitation to the drive speed can cause an increase in the equivalent torsional stiffness, smooth the discontinuous friction force at contact, and reduce the regions of negative slope in the friction coefficient variation with respect to speed. Experiments with a scaled drill string apparatus have also been conducted and the experimental results show good agreement with the numerical results obtained from the developed models. These findings suggest that the extended Jeffcott rotordynamics model can be useful for studies of rotor dynamics in situations with continuous rotor-stator contact. Furthermore, the results obtained suggest that the drive speed modulation scheme can have value for attenuating drill-string vibrations.

Scaling laws and thermodynamic analysis for vascular branching of microvessels

When blood flows through small vessels, the two-phase nature of blood as a suspension of red cells (erythrocytes) in plasma cannot be neglected, and with decreasing vessel size, a homogeneous continuum model become less adequate in describing blood flow. Following the Haynes’ marginal zone theory, and viewing the flow as the result of concentric laminae of fluid moving axially, the present work provides models for fluid flow in dichotomous branching composed by larger and smaller vessels, respectively. Expressions for the branching sizes of parent and daughter vessels, that provides easier flow access, are obtained by means of a constrained optimization approach using the Lagrange multipliers. This study shows that when blood behaves as a Newtonian fluid, Hess – Murray law that states that the daughters-to-parent diameter ratio must equal to 2^(-1/3) is valid. However, when the nature of blood as a suspension becomes important, the expression for optimum branching diameters of vessels is dependent on the separation phase lengths. It is also shown that the same effect occurs for the relative lengths of daughters and parent vessels. For smaller vessels (e. g., arterioles and capillaries), it is found that the daughters-to-parent diameter ratio may varies from 0,741 to 0,849, and the daughters-to-parent length ratio varies from 0,260 to 2,42. For larger vessels (e. g., arteries), the daughters-to-parent diameter ratio and the daughters-to-parent length ratio range from 0,458 to 0,819, and from 0,100 to 6,27, respectively. In this paper, it is also demonstrated that the entropy generated when blood behaves as a single phase fluid (i. e., continuum viscous fluid) is greater than the entropy generated when the nature of blood as a suspension becomes important. Another important finding is that the manifestation of the particulate nature of blood in small vessels reduces entropy generation due to fluid friction, thereby maintaining the flow through dichotomous branching vessels at a relatively lower cost.