Thesis (Ph. D.)--University of Wisconsin--Madison, 1959. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 228-232).

abstract: As miniature and high-heat-dissipation equipment became major manufacture and operation trends, heat-rejecting and heat-transport solutions faced increasing challenges. In the 1970s, researchers showed that particle suspensions can enhance the heat transfer efficiency of their base fluids. However, their work was hindered by the sedimentation and erosion issues caused by the relatively large particle sizes in their suspensions. More recently, nanofluids--suspensions of nanoparticles in liquids-were proposed to be applied as heat transfer fluids, because of the enhanced thermal conductivity that has generally been observed. However, in practical applications, a heat conduction mechanism may not be sufficient for cooling high-heat-dissipation devices such as microelectronics or powerful optical equipment. Thus, the thermal performance under convective, i.e., flowing heat transfer conditions becomes of primary interest. In addition, with the presence of nanoparticles, the viscosity of a nanofluid is greater than its base fluid and deviates from Einstein's classical prediction. Through the use of a test rig designed and assembled as part of this dissertation, the viscosity and heat transfer coefficient of nanofluids can be simultaneously determined by pressure drop and temperature difference measurements under laminar flow conditions. An extensive characterization of the nanofluid samples, including pH, electrical conductivity, particle sizing and zeta potential, is also documented. Results indicate that with constant wall heat flux, the relative viscosities of nanofluid decrease with increasing volume flow rate. The results also show, based on Brenner's model, that the nanofluid viscosity can be explained in part by the aspect ratio of the aggregates. The measured heat transfer coefficient values for nanofluids are generally higher than those for base fluids. In the developing region, this can be at least partially explained by Prandtl number effects. The Nusselt number ( Nu ) results for nanofluid show that Nu increases with increasing nanofluid volume fraction and volume flow rate. However, only DI-H2O (deionized water) and 5/95 PG/H2O (PG = propylene glycol) based nanofluids with 1 vol% nanoparticle loading have Nu greater than the theoretical prediction, 4.364. It is suggested that the nanofluid has potential to be applied within the thermally developing region when utilizing the nanofluid as a heat transfer liquid in a circular tube. The suggested Reynold's number is greater than 100. / Dissertation/Thesis / Ph.D. Mechanical Engineering 2010

<p> The progress of technology in the electronic components industry has been rapidly growing. The evolution of various techniques has made it possible for this industry to grow and diversify with the market demand. Thus, the development of electronic component products over a short span of time requires having highly efficient tools for design and manufacturing. Advances in commercial Computational Fluid Dynamics (CFD) softwares and computational power have enabled modeling to a high level of architectural details. Nowadays, computer aided design becomes an essential design tool in the engineering environment. Computer analysis reduces both the time development cycle and the prototyping costs in the early to intermediate design phases. The accuracy of the computational prediction of heat transfer rates depends mostly on the correct choice of turbulent model. Although many turbulent models, rather than a universal turbulent model, have been developed during the last two decades, there is usually one model that performs better than others for certain flow conditions. </p> <p> In the present research, a turbulence model is selected from amongst a few candidates, namely standard k- 8, RNG k- 8, shear stress transport (SST), and Reynolds Stress Model (RSM), based on comparisons with experimental data and direct numerical simulation (DNS) results from previous work. The SST turbulence model shows excellent agreement with the DNS results and, hence, is considered an appropriate turbulence model for thermal analysis of electronic packages with elements that have almost the same heights. Moreover, the average Nusselt number of array of obstacles is obtained numerically using commercial code ANSYS-CFX 1 0.0. The effects upon the mean Nusselt number arising from parameteric changes in Reynolds number, element height, element width, and element-to-element distance are compared and discussed. Finally, the parametric study has offered a set of correlations for the mean Nusselt number of arrays of mounted obstacles in the channel flow. </p> / Thesis / Master of Applied Science (MASc)

[pt] Abreu (1967) estudou o problema do escoamento bi-dimensional viscoso, incomprenssível, com vorticidadade constante, aplicado ao escoamento simético em torno de uma cunha infinita. Este trabalho adorda o problema de Abreu para acaso em que o fluido em escoamento acha-se a uma temperatura constante e a superfície da cunha é não-isotérmica, ocorrendo o surgimento de uma camada limite térmica. Foi aplicado o método das expressões assintóticas acopladas. Existem quatro problemas a serem resolvidos: dois externos e dois internos. A solução desses problemas conduz a solução assintótica do problema para altos valores do número de Reynolds. Foi resolvido o sistema composto pelas equações de Navier-Stokes, continuide e energia. É apresentada a solução geral para semi-ângulos de cunha entre 0 grau e 90 graus, e a solução numérica para casos particulares de semi-ângulos de 0 grau, 18 graus, 72 graus e para valores de Prandtl iguais a 0.7, 1 e 10. / [en] Abreu (1967) studied the two-dimensional ,inconpressible, constant vorticity flow past an infinite wedge. In the present work the problem solved by Abreu is considered for the case where a constant temperature fluid flows past an infinite wedge with non-isothernal surface, thus given rise to a thermal boundary layer. The matched asyntotic expansion netod,as present in Van Dyke(1962), was applied to the solution of the problem. According to Van Dyke there are four problems leads to the desired asynpotic solution for large values of the Reynolds number. The solution defines a system forned by the Navier Strokes, continuity and energy equations. The asym ptotic expansions found by Abreu (1967) for the hydrodynamic problem i.e for the continuity and Navier-Stokes equations were used in our solution. Although a general analytical solution was found for any angle of the wedge between 0 degree and 90 degrees numerical solutions are show for the particular semi-angle values of 0 degree, 18 degrees and 72 degrees and Prandt 1 numbers values of 0.7,1.0 and 10.

<p> Forced convection mass transfer rates from single gas bubbles, with accompanying chemical reaction, were determined experimentally in the intermediate Reynolds number range. The reacting system carbon dioxide-monoethanolaminc was chosen for this study. </p> <p> A mathematical model, describing forced convection mass transfer from a single sphere with accompanying first or second order reaction, was developed and solved using finite-difference techniques. Hydrodynamic conditions in the intermediate Reynolds number region were described using Kawaguti-type velocity profiles. </p> <p> The numerical solutions of the model have been compared with the experimental results of this study as well as with previous theoretical and experimental results. </p> / Thesis / Doctor of Philosophy (PhD)

[pt] Escoamentos de fluidos não Newtonianos são comumente encontrados em processos industriais. Deste modo, é importante conhecer bem o efeito dos processos sobre a reologia desta classe de fluidos, assim como o inverso, ou seja, conhecer o efeito da interferência da reologia de tais fluidos sobre os processos. Fluidos não Newtonianos exibem complexidade no seu comportamento mecânico, não encontrada nos fluidos Newtonianos, como, por exemplo, dependência da viscosidade com a taxa de cisalhamento e a existência de uma tensão-limite de escoamento não nula. Verifica-se, atualmente, a existência de uma ampla lacuna na literatura no que diz respeito µa compreensão da interação de fluidos não newtonianos em diferentes geometrias de escoamento, em particular sob o ponto de vista térmico. Algumas geometrias, por serem mais comuns nas linhas industriais, têm recebido maior atenção nas investigações sobre o referido aspecto, como, por exemplo, os casos do tubo circular e do espaço anular. Encontra-se uma maior quantidade de trabalhos publicados de estudos analíticos ou de simulação numérica, enquanto que são raros os artigos baseados em investigações experimentais. No presente trabalho, o qual teve como motivação a avaliação do comportamento térmico de um poço de petróleo durante sua perfuração, estudou-se experimentalmente o efeito da reologia do fluido no processo de transferência de calor em espaços anulares e, também, em tubos. O objetivo foi determinar o coeficiente interno de transferência de calor (Número de Nusselt) para o caso de parede interna com fluxo de calor uniforme e parede externa adiabática para o anular e fluxo de calor uniforme para o tubo. Utilizou-se um fluido do tipo viscoplástico, que reproduz bem o comportamento do fluido de perfuração, em diferentes concentrações, no intuito de se observar a influência da reologia do fluido no escoamento não isotérmico. Diferentes razões de raios do espaço anular foram estudadas. Os resultados experimentais mostram que, em escoamentos laminares e completamente desenvolvidos, a reologia do fluido não afeta a transferência de calor no espaço anular, sendo esta, fundamentalmente, dependente da geometria. Estes resultados estão de acordo com previsões teóricas recentemente publicadas, e a principal contribuição do presente trabalho é confirmar este resultado surpreendente, que torna mais simples os projetos envolvendo o escoamento de materiais viscoplásticos em espaços anulares sob as condições de contorno investigadas. / [en] Non-Newtonian fluids flow are very common in industrial processes, so it is important to know both the effect of the process on the fluid and vice-versa. Non-Newtonian Fluids exhibit complex mechanical behavior not found in Newtonian fluids, such as shear-rate-dependent viscosity and non-zero Yield stress. Nowadays there is a lack of understanding in the literature of the interaction among non-Newtonian fluids and different flow geometries, particularly as far as heat transfer is concerned. Some geometries are found more frequently in industrial processes, being, accordingly, a more frequent subject of research. Among these are the tubes and annuli. Most of the published articles about this subject are analytical studies or numerical simulations, while those based on experimental investigations are rather scarce. This work is focused in the evaluation of the thermal behavior of oil wells during the flow of the drilling fluid. The effect of fluid rheology on heat transfer in annular spaces and circular tubes was investigated experimentally. The purpose was to determine the convective heat transfer coefficient (Nusselt number). The boundary conditions for the annuli were uniform heat flux at the inner wall and adiabatic outer wall, while, for the tube, the heat flux at the wall was kept constant and uniform. To mimic the drilling fluid mechanical behavior, the working fluids were viscoplastic liquids at different concentrations. For the annuli, different radius ratios were studied. The experimental results showed that, for laminar and fully developed flow in the annuli, the fluid rheology does not affect the Nusselt number, which is governed by the radius ratio only. These results are in agreement with recently published theoretical predictions, and the main contribution of this work is to confirm this surprising result, which renders simpler the projects involving non-Newtonian fluids flowing in annuli under the thermal boundary conditions investigated.

The high ozone depletion and global warming potentials of fluorocarbon refrigerants have resulted in prohibitions and restrictions in many markets. Hydrocarbon refrigerants have low environmental impacts and are successfully used in domestic refrigerators and car air conditioners but replacing fluorocarbons in centrifugal chillers for air conditioning applications is unknown. Hydrocarbon replacements need a heat transfer correlation for refrigerant in flooded evaporators and predictions for operating conditions, capacity and performance. Safety precautions for large quantities of hydrocarbon refrigerants are needed and control of overpressure in plantrooms requires accurate prediction. Reliable correlations exist for forced convection in a single phase flow, condensation outside tubes and evaporation off sprayed tubes. For flooded evaporators this thesis proposes a new correlation for forced convection boiling of any refrigerant. An enhancement factor is combined with a modified Chen coefficient using recent pool boiling and forced convection correlations outside tubes. This correlates within typically a factor of two to known boiling literature measurements for CFC-113, CFC-11, HCFC-123, HFC-134a and HC-601. The operating conditions, capacity and performance of replacement hydrocarbons in centrifugal chillers were predicted using fluorocarbon performance as a model. With the new heat transfer correlation hydrocarbon predictions for flooded evaporators were made. For any fluorocarbon refrigerant there exists a replacement mixture of hydrocarbons which with a rotor speed increase about 40% gives the same cooling capacity in the same centrifugal chiller under the same operating conditions. For example replacing HCFC-123 in a flooded evaporator with HC-601/602 [90.4/9.6] and increasing the rotor speed by 43% will increase the coefficient of performance by 4.5% at the same cooling capacity. The maximum plantroom overpressure considered was from leakage and ignition of a uniform air/refrigerant mixture with maximum laminar burning velocity. Flow was modelled using a turbulence viscosity due to Launder and Spalding and turbulent deflagration using a reaction progress variable after Zimont. These partial differential equations were solved approximately for two and three dimensional geometries using finite volume methods from the Fluent program suite. Simple overpressure predictions from maximum flame area approximations agreed with Fluent results within 13.7% promising safe plantroom design without months of computer calculation.

Finite-volume methods have been used for modeling of fluidflows involved in forced convection electrochemical coating androtating spray painting systems. Electrodeposition on a singlecircular cylinder under forced convection for Reynolds numbers10 and 200 was simulated. Comparisons with earlier numericaland theoretical results are presented and it is shown that theunsteady wake that appears for Reynolds numbers greater than 50affects the mass transfer from the surface of the cylinder onlyin an average sense. This result is compared with a heattransfer case, where unsteadiness is much more manifest. Theeffect of application of circulation movement around thecylinder surface was considered, showing that the use ofoptimal values for circulation can create a recirculation zonearound the cylinder and result in a remarkable improvement ofthe deposit uniformity. The magnetoelectrolysis researchdiscipline is presented with focus on magnetic fields uses onmass transfer processes. A classification of the governingdimensionless parameters that control the phenomena isproposed. Application of magnetoelectrolysis on electroplatingprocesses is done for the first time. It is found that the useof an alternating magnetically induced force around thecylinder can result in interesting improvement of quality andproductivity. Application of numerical methods is also studiedin another field of the surface finishing industry, thepainting atomizers. A critical situation of "reverse flow" isanalyzed. Different parameters of this phenomenon are studiedand suggestions for atomizers design are given and tested. <b>Keywords:</b>mass transfer, electrochemical coating, iontransport, forced convection, diffusion, magnetoelectrolysis,electrolyte, limiting current, numerical simulation,finite-volume methods, paint atomization, Coanda effect.

The present work has been an experimental investigation to evaluate the applicability of gas turbine cooling technology. With the temperature of the mainstream gas entering the turbine elevated above the melting temperature of the metal components, these components must be cooled, so they can withstand prolonged exposure to the mainstream gas. Both external and internal cooling techniques have been studied as a means to increase the life of turbine components. Detailed film cooling effectiveness distributions have been obtained on the turbine blade platform with a variety of cooling configurations. Because the newly developed pressure sensitive paint (PSP) technique has proven to be the most suitable technique for measuring the film effectiveness, it was applied to a variety of platform seal configurations and discrete film flows. From the measurements it was shown advanced seals provide more uniform protection through the passage with less potential for ingestion of the hot mainstream gases into the engine cavity. In addition to protecting the outer surface of the turbine components, via film cooling, heat can also be removed from the components internally. Because the turbine blades are rotating within the engine, it is important to consider the effect of rotation on the heat transfer enhancement within the airfoil cooling channels. Through this experimental investigation, the heat transfer enhancement has been measured in narrow, rectangular channels with various turbulators. The present experimental investigation has shown the turbulators, coupled with the rotation induced Coriolis and buoyancy forces, result in non-uniform levels of heat transfer enhancement in the cooling channels. Advanced turbulator configurations can be used to provide increased heat transfer enhancement. Although these designs result in increased frictional losses, the benefit of the heat transfer enhancement outweighs the frictional losses.

The objective of this thesis is to predict numerically the optimal spacing between parallel heat generating boards. The isothermal boards are stacked in a fixed volume of electronic package enclosed by insulated lateral walls, and they are cooled by laminar forced convection of air with prescribed pressure drop. Fixed pressure drop assumption is an acceptable model for installations in which several parallel boards in electronic equipment receive the coolant from the same source such as a fan. In the numerical algorithm, the equations that govern the process of forced convection for constant property incompressible flow through one rectangular channel are solved. Numerical results of the flow and temperature field in each rectangular channel yield the optimal board-to-board spacing by which maximum heat dissipation rate from the package to the air is achieved. After the results of the optimization procedure are given, the correlations for the determination of the maximum heat transfer rate from the package and optimal spacing between boards are, respectively, derived in terms of prescribed pressure difference, board length, and density and kinematic viscosity of air. In conclusion, the obtained correlations are compared and assessed with the available two-dimensional studies in literature for infinite parallel plates. Furthermore, existing two-dimensional results are extended to a more generalized three-dimensional case at the end of the thesis.