Forced air cooling of electronic packages is enhanced through the use of extended surfaces or heat sinks that reduce boundary resistance allowing heat generating devices to operate at lower temperatures, thereby improving reliability. Unfortunately, the clearance zones or bypass regions surrounding the heat sink, channel some of the cooling air mass away from the heat sink, making it difficult to accurately estimate thermal performance. The design of an "optimized" heat sink requires a complete knowledge of all thermal resistances between the heat source and the ambient air, therefore, it is imperative that the boundary resistance is properly characterized, since it is typically the controlling resistance in the path. Existing models are difficult to incorporate into optimization routines because they do not provide a means of predicting flow bypass based on information at hand, such as heat sink geometry or approach velocity. <br /><br /> A procedure is presented that allows the simultaneous optimization of heat sink design parameters based on a minimization of the entropy generation associated with thermal resistance and fluid pressure drop. All relevant design parameters such as geometric parameters of a heat sink, source and bypass configurations, heat dissipation, material properties and flow conditions can be simultaneously optimized to characterize a heat sink that minimizes entropy generation and in turn results in a minimum operating temperature of an electronic component. <br /><br /> An analytical model for predicting air flow and pressure drop across the heat sink is developed by applying conservation of mass and momentum over the bypass regions and in the flow channels established between the fins of the heat sink. The model is applicable for the entire laminar flow range and any type of bypass (side, top or side and top both) or fully shrouded configurations. During the development of the model, the flow was assumed to be steady, laminar, developing flow. The model is also correlated to a simple equation within 8% confidence level for an easy implementation into the entropy generation minimization procedure. The influence of all the resistances to heat transfer associated with a heat sink are studied, and an order of magnitude analysis is carried out to include only the influential resistances in the thermal resistance model. Spreading and material resistances due to the geometry of the base plate, conduction and convection resistances associated with the fins of the heat sink and convection resistance of the wetted surfaces of the base plate are considered for the development of a thermal resistance model. The thermal resistance and pressure drop model are shown to be in good agreement with the experimental data over a wide range of flow conditions, heat sink geometries, bypass configurations and power levels, typical of many applications found in microelectronics and related fields. Data published in the open literature are also used to show the flexibility of the models to simulate a variety of applications. <br /><br /> The proposed thermal resistance and pressure drop model are successfully used in the entropy generation minimization procedure to design a heat sink with bypass for optimum dimensions and performance. A sensitivity analysis is also carried out to check the influence of bypass configurations, power levels, heat sink materials and the coverage ratio on the optimum dimensions and performance of a heat sink and it is found that any change in these parameters results in a change in the optimized heat sink dimensions and flow conditions associated with the application for optimal heat sink performance.

In this study, an entropy generation minimization procedure is employed to optimize the overall performance (thermal and hydrodynamic) of isolated fin geometries and pin-fin heat sinks. This allows the combined effects of thermal resistance and pressure drop to be assessed simultaneously as the heat sink interacts with the surrounding flow field. New general expressions for the entropy generation rate are developed using mass, energy, and entropy balances over an appropriate control volume. The formulation for the dimensionless entropy generation rate is obtained in terms of fin geometry, longitudinal and transverse pitches, pin-fin aspect ratio, thermal conductivity, arrangement of pin-fins, Reynolds and Prandtl numbers. It is shown that the entropy generation rate depends on two main performance parameters, i. e. , thermal resistance and the pressure drop, which in turn depend on the average heat transfer and friction coefficients. These coefficients can be taken from fluid flow and heat transfer models. An extensive literature survey reveals that no comprehensive analytical model for any one of them exists that can be used for a wide range of Reynolds number, Prandtl number, longitudinal and transverse pitches, and thermal conductivity. This study is one of the first attempts to develop analytical models for the fluid flow and heat transfer from single pins (circular and elliptical) with and without blockage as well as pin-fin arrays (in-line and staggered). These models can be used for the entire laminar flow range, longitudinal and transverse pitches, any material (from plastic composites to copper), and any fluid having Prandtl numbers (&ge;0. 71). In developing these models, it is assumed that the flow is steady, laminar, and fully developed. Furthermore, the heat sink is fully shrouded and the thermophysical properties are taken to be temperature independent. Using an energy balance over the same control volume, the average heat transfer coefficient for the heat sink is also developed, which is a function of the heat sink material, fluid properties, fin geometry, pin-fin arrangement, and longitudinal and transverse pitches. The hydrodynamic and thermal analyses of both in-line and staggered pin-fin heat sinks are performed using parametric variation of each design variable including pin diameter, pin height, approach velocity, number of pin-fins, and thermal conductivity of the material. The present analytical results for single pins (circular and elliptical) and pin-fin-arrays are in good agreement with the existing experimental/numerical data obtained by other investigators. It is shown that the present models of heat transfer and pressure drop can be applied for a wide range of Reynolds and Prandtl numbers, longitudinal and transverse pitches, aspect ratios, and thermal conductivity. Furthermore, selected numerical simulations for a single circular cylinder and in-line pin-fin heat sink are also carried out to validate the present analytical models. Results of present numerical simulations are also found to be in good agreement.

Random number generators are basic building blocks of modern cryptographic systems. Usually pseudo random number generators, carefully constructed deter- ministic algorithms that generate seemingly random numbers, are used. These are built upon foundations of thorough mathematical analysis and have been subjected to stringent testing to make sure that they can produce pseudo random sequences at a high bit-rate with good statistical properties. A pseudo random number generator must be initiated with a starting value. Since they are deterministic, the same starting value used twice on the same pseudo random number generator will produce the same seemingly random sequence. Therefore it is of utmost importance that the starting value contains enough en- tropy so that the output cannot be predicted or reproduced in an attack. To gen- erate a high entropy starting value, a true random number generator that uses sampling of some physical non-deterministic phenomenon to generate entropy, can be used. These are generally slower than their pseudo random counterparts but in turn need not generate the same amount of random values. In field programmable gate arrays (FPGA), generating random numbers is not trivial since they are built upon digital logic. A popular technique to generate entropy within a FPGA is to sample jittery clock signals. A quite recent technique proposed to create a robust clock signals, that contains such jitter, is to use self- timed ring oscillators. These are structures in which several events can propagate freely at an evenly spaced phase distribution. In this thesis self-timed rings of six different lengths is implemented on a spe- cific FPGA hardware. The different implementations are tested with the TestU01 test suite. The results show that two of the implementations have a good oscilla- tory behaviour that is well suited for use as random number generators. Others exhibit unexpected behaviours that are not suited to be used in a random num- ber generator. Two of the implemented random generators passed all tests in the TestU01 batteries Alphabit and BlockAlphabit. One of the generators was deemed not fit for use in a random number generator after failing all of the tests. The last three were not subjected to any tests since they did not behave as ex- pected.

In this dissertation, entropy generation minimisation techniques are used to numerically investigate the minimum entropy generation due to heat transfer and fluid friction in a number of different heat exchangers. Twenty-seven different industrial-types of heat exchangers with power ratings ranging between 100 and 800 kW were analyzed. This was done due to their large energy consumption and inefficiencies associated with their operation. Through numerical optimisation it was possible to conclude that the main variables that affected entropy generation were the steam inlet temperature, followed by the tube-side diameter for the given sample set. The main mechanism contributing to entropy generation was the effect of fluid friction, although this was only the case at smaller tube diameters. By using the principles of entropy generation minimization the entropy generated of each heat exchanger could be reduced by between 2% and 64%. By using the principles of the entropy generation minimisation technique, the optimal diameter could be determined that yielded results within 1% of the global minimum entropy generation. / Dissertation (MEng)--University of Pretoria, 2015. / Mechanical and Aeronautical Engineering / MEng / Unrestricted

O modelo originalmente proposto por Navarro e Cabezas-Gómez (2005) para determinação da Efetividade térmica de trocadores de calor de fluxo cruzado, é avaliado e ampliado. Esta ampliação é extensiva para três casos particulares. No primeiro, o número de unidades de transferência (NUT) é determinado em função da efetividade térmica (E) e da razão entre as capacidades térmicas (C*). No segundo, cartas do fator de correção F para o método da média logarítmica da diferença de temperaturas (MLDT) são desenvolvidas a partir de uma associação entre os métodos E-NUT e MLDT realizada por Kays e London (1998). Os resultados obtidos são validados a partir da comparação com valores provenientes de relações analíticas de configurações conhecidas. Por último, uma análise global de trocadores de calor de fluxo cruzado com geometrias complexas é realizada através dos métodos E-NUT, MLDT, Eficiência, análise de geração de entropia e o princípio da uniformidade da diferença do campo de temperaturas. Os valores obtidos mostraram boa precisão para todas as configurações testadas, demonstrando que o presente trabalho permite analisar o desempenho de diferentes configurações de trocadores de calor de fluxo cruzado usando diversos métodos de análise. / The pattern originally proposed by Navarro and Cabezas-Gómez (2005) for cross-flow heat exchangers thermal effectiveness resolution, is analysed and extended. This extension is available in three particular cases. In the first one, the number of tranfer units (NTU) is defined in funtion of thermal effectiveness (E) and heat capacity rate ratio (C*). In the second one, charts for correction factor F for logarithm mean temperature difference (LMTD) approach are developed from a relation between E-NTU and LMTD approaches by Kays and London (1998). The obtained results are authenticated from a comparison with data from analytical expressions of traditional arrangements. For the last one, a whole analysis of crossflow heat exchangers with complex flow arrangements is realized by E-NTU, LMTD, Efficiency, analysis of entropy generation and the uniformity principle of the temperature difference field. The obtained values showed a good precision for every settings simulated, demonstrating that the present research is able to make an analysis of cross-flow heat exchangers performance in different settings using several approaches.

O modelo originalmente proposto por Navarro e Cabezas-Gómez (2005) para determinação da Efetividade térmica de trocadores de calor de fluxo cruzado, é avaliado e ampliado. Esta ampliação é extensiva para três casos particulares. No primeiro, o número de unidades de transferência (NUT) é determinado em função da efetividade térmica (E) e da razão entre as capacidades térmicas (C*). No segundo, cartas do fator de correção F para o método da média logarítmica da diferença de temperaturas (MLDT) são desenvolvidas a partir de uma associação entre os métodos E-NUT e MLDT realizada por Kays e London (1998). Os resultados obtidos são validados a partir da comparação com valores provenientes de relações analíticas de configurações conhecidas. Por último, uma análise global de trocadores de calor de fluxo cruzado com geometrias complexas é realizada através dos métodos E-NUT, MLDT, Eficiência, análise de geração de entropia e o princípio da uniformidade da diferença do campo de temperaturas. Os valores obtidos mostraram boa precisão para todas as configurações testadas, demonstrando que o presente trabalho permite analisar o desempenho de diferentes configurações de trocadores de calor de fluxo cruzado usando diversos métodos de análise. / The pattern originally proposed by Navarro and Cabezas-Gómez (2005) for cross-flow heat exchangers thermal effectiveness resolution, is analysed and extended. This extension is available in three particular cases. In the first one, the number of tranfer units (NTU) is defined in funtion of thermal effectiveness (E) and heat capacity rate ratio (C*). In the second one, charts for correction factor F for logarithm mean temperature difference (LMTD) approach are developed from a relation between E-NTU and LMTD approaches by Kays and London (1998). The obtained results are authenticated from a comparison with data from analytical expressions of traditional arrangements. For the last one, a whole analysis of crossflow heat exchangers with complex flow arrangements is realized by E-NTU, LMTD, Efficiency, analysis of entropy generation and the uniformity principle of the temperature difference field. The obtained values showed a good precision for every settings simulated, demonstrating that the present research is able to make an analysis of cross-flow heat exchangers performance in different settings using several approaches.

The present work addresses the thermodynamic optimization of small binary-cycle geothermal power plants. The optimization process and entropy generation minimization analysis were performed to minimize the overall exergy loss of the power plant, and the irreversibilities associated with heat transfer and fluid friction caused by the system components. The effect of the geothermal resource temperature to impact on the cycle power output was studied, and it was found that the maximum cycle power output increases exponentially with the geothermal resource temperature. In addition, an optimal turbine inlet temperature was determined, and observed to increase almost linearly with the increase in the geothermal heat source. Furthermore, a coaxial geothermal heat exchanger was modeled and sized for minimum pumping power and maximum extracted heat energy. The geofluid circulation flow rate was also optimized, subject to a nearly linear increase in geothermal gradient. In both limits of the fully turbulent and laminar fully-developed flows, a nearly identical diameter ratio of the coaxial pipes was determined irrespective of the flow regime, whereas the optimal geofluid mass flow rate increased exponentially with the Reynolds number. SeveORCs were observed to yield maximum cycle power output. The addition of an IHE and/or an Oral organic Rankine Cycles were also considered as part of the study. The basic types of the FOH improved significantly the effectiveness of the conversion of the available geothermal energy into useful work, and increased the thermal efficiency of the geothermal power plant. Therefore, the regenerative ORCs were preferred for high-grade geothermal heat. In addition, a performance analysis of several organic fluids was conducted under saturation temperature and subcritical pressure operating conditions of the turbine. Organic fluids with higher boiling point temperature, such as n-pentane, were recommended for the basic type of ORCs, whereas those with lower vapour specific heat capacity, such as butane, were more suitable for the regenerative ORCs. / Dissertation (MEng)--University of Pretoria, 2013. / Mechanical and Aeronautical Engineering / unrestricted

This study focused on a numerical second law analysis and optimisation of a receiver tube op- erating in a parabolic trough solar collector for small-scale application. The receiver functioned in a Rankine cycle. The focus was on entropy generation minimisation in the receiver due to the high quality exergy losses in this component. Water functioned as the working uid and was heated from ambient conditions (liquid) to a superheated state (vapour), consequently, the receiver tube was subject to both single phase as well as two-phase ow. Entropy generation in the receiver tube was mainly due to nite temperature di erences as well as uid friction. The contribution of each of these components was investigated. Geometrical as well as operating conditions were investigated to obtain good guidelines for receiver tube and plant design. An operating pressure in the range of 1 MPa (Tsat = 180 C) to 10 MPa (Tsat = 311 C) was considered. Furthermore a mass ow range of 0:15 kg=s to 0:4 kg=s was investigated. Results showed that beyond a diameter of 20 mm, the main contributor to the entropy generation was the nite temperature di erences for most conditions. Generally, operating pressures below 3 MPa showed bad performance since the uid friction component was too large for small operating pressures. This phenomenon was due to long two-phase lengths and high pressure drops in this region. The nite temperature di erence component increased linearly when the tube diameter was increased (due to the increase in exposed area) if the focused heat ux was kept constant. However, the uid friction component increased quadratically when the diameter was reduced. In general when the concentration ratio was increased, the entropy generation was decreased. This was due to more focused heat on each section of the receiver pipe and, in general, resulted in shorter receiver lengths. Unfortunately, there is a limit to the highest concentration ratio that can be achieved and in this study, it was assumed to be 45 for two-dimensional trough technology. A Simulated Annealing (SA) optimisation algorithm was implemented to obtain certain optimum parameters. The optimisation showed that increasing the diameter could result in a decrease in entropy generation, provided that the concentration ratio is kept constant. However, beyond a certain point gains in minimising the entropy generation became negligible. Optimal operating pressure would generally increase if the mass ow rate was increased. Finally, it was seen that the highest operating pressure under consideration (10 MPa) showed the best performance when considering the minimisation of entropy in conjunction with the maximisation of the thermodynamic work output. / Dissertation (MEng)--University of Pretoria, 2014. / tm2015 / Mechanical and Aeronautical Engineering / MEng / Unrestricted

No description available.

<p dir="ltr">Managing transient heat loads has become more challenging with the increasing electrification of ground, air, and marine vehicles. Doing so requires novel designs of thermal management systems, or in some cases, novel retrofits of legacy TMSs to accommodate the addition of more electrified subsystems. However, design tools that are well suited for examining and optimizing the dynamic response of TMS over candidate operation or mission profiles are limited. In this thesis, a principled methodology and associated tools for the enumeration and dynamic optimization of all feasible architectures of an air cycle machine are presented. Graph-based modeling is pivotal for exploring and optimizing ACM architectures, providing a structured representation of system components and interactions. By modeling the ACM as a graph, with vertices and edges representing components and interactions, respectively, various component configurations and performance metrics can be systematically analyzed. This approach enables efficient exploration of design alternatives and consideration of dynamic boundary conditions (representing, for example, a complex mission profile) during optimization. Another unique contribution of this thesis is a novel application of a multi-state graph-based modeling approach for developing dynamic models of turbomachinery components. By representing multiple states within each control volume or component and connecting them through power flows, this approach accurately captures both first and second law dynamics, enabling the computation of dynamic entropy generation rates. A detailed case study demonstrates the optimization of ACM architectures based on entropy generation minimization and dynamic bleed air flow rate minimization. This study highlights the trade-offs between different optimization criteria and the potential for generalizing the tool to more complex thermofluid systems in thermal management applications. The results underscore the importance of entropy-based analysis in comparing the thermodynamic losses across various system architectures.</p>