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Capillary pumped loop (CPL) and loop heat pipe (LHP), are two-phase heat transport devices which rely on surface tension induced by a fine pore wick to drive a working fluid in a loop. These are based on a working principle similar to that of heat pipes -closed evaporation and condensation cycle being maintained by capillary pumping. CPLs and LHPs are gaining importance as a part of the thermal control system of modern high power spacecraft, electronic thermal management, cryogenics, etc. A mathematical model to simulate the thermo-hydraulic performance of CPLs and LHPs is developed to aid in the design of such a spacecraft thermal control system. In this study a unified mathematical model to estimate thermal and hydraulic performance of a CPL and an LHP -with a two-phase or a hard-filled reservoir is presented. The steady state model is based on conservation of energy and mass in the system. Heat exchanges between the loop and the surroundings and pressure drops in the loop are calculated. The constant conductance regime in a CPL or an LHP occurs when the reservoir is hard-filled. It also occurs in an LHP if the condenser is fully utilised. The heat leak across the wick becomes significant in a hard-filled LHP since the core is no longer saturated and hence the mass flow rate must be calculated using an energy balance on the outer surface of the wick. Theoretical studies indicate that the core of a hard-filled CPL and LHP is always sub-cooled. Hard-filled LHPs (with a bayonet) cannot be operated under all conditions. If the heat exchange between the compensation chamber (of an LHP with bayonet) and the ambient is small then such an LHP will not deprime if the hard-filling occurs before the condenser opens. Deprime due to hard-filling is not expected if it occurs after the condenser opens. A laboratory model is built to demonstrate the operation of these two devices and to correlate the theoretical predictions with the experimental observations. The CPL/LHP laboratory model is fabricated and designed so that different evaporator and reservoir designs can be integrated into the test-rig and tested with different working fluids. Experiments are conducted on a three-port CPL with a tubular axially grooved (TAG) evaporator. This CPL is operated with three different fluids -namely -Ammonia, Acetone and R134a. The CPL is operated for heat loads in the range of 75W to 400W with sink temperatures of -10◦C and 0◦C. The influence of reservoir temperature (35◦C and 43◦C) is also studied. The TAG evaporator is modified to operate in an LHP mode with R134a as the working fluid with heat loads in the range of 75W to 150W. This LHP does not exhibit typical “√” shaped operating characteristic due to large liquid inventory in the compensation chamber (CC). The R134a based LHP results suggest that large liquid inventory (in the CC) and absence of secondary wick significantly influence the thermal coupling between the core and the compensation chamber. Experiments are also conducted with a flat plate (FP) evaporator, in LHP operating mode, with Ammonia as the working fluid. This LHP can transport heat loads from 25W to 300W with a sink temperature at -15◦C. The experimental results indicate that ammonia is the best working fluid (moderate temperature regime) among all the working fluids tested, and that evaporation heat transfer coefficients in sintered Ni-wick are better. The correlation of the predicted temperatures on the transport lines and the saturation temperature (in LHPs) with the observations is good. Some of the salient conclusions from these experiments are that mass of charge can significantly influence the operating characteristics of a TAG LHP, even though the fluid in the CC is in two-phase condition. Theoretical predictions can be significantly affected when thermal and hydraulic development lengths in the condenser are comparable with the length of the sub-cooling section.

This thesis presents results of investigations on fields and multipole expansion coefficients in axially symmetric (referred to as 3D)and two dimensional (2D)ion trapmass analysers. 3D mass analysers have a three-electrode geometry with two (electrically shorted) endcap electrodes and one central ring electrode. rf-only or rf/dc potential applied across the electrodes creates a linear trapping field in the central cavity of the mass analyser.2Dmass analysers have four longitudinal electrodes in which the opposite pairs of electrodes are electrically shorted. Here, rf-only or rf/dc potential applied across the pair of electrodes creates a linear trapping field and fragment ions of the analyte gas are trapped along the central axis of the mass analyser. Both these mass analysers have apertures machined on the electrodes (holes in case of 3D traps and slits in case of 2D traps) to permit entry of electrons for ionizing the analyte gas and for collection of destabilized fragment ions. This thesis is concerned with how these apertures influence the fields and multipole expansion coefficients within the traps. This thesis is divided into five chapters. Chapter 1 provides the background information which is required for the thesis. It begins with a description of the geometry of the 3D and the 2D mass analysers used in the present work.These include the quadrupole ion trap (QIT) and cylindrical ion trap (CIT) for 3D structures and the linear ion trap (LIT) and the rectilinear ion trap (RIT) for 2D structures. This is followed by a brief description of the numerical method, the boundary element method (BEM), used in the thesis. Also presented here are the Green’s function for 3D and 2D geometries. In the final section, the scope of the thesis is presented. Chapter 2 presents two approximate analytical expressions for nonlinear electric fields in the principal direction in axially symmetric (3D) and two dimensional (2D) ion trap mass analysers with apertures on the electrodes. Considered together (3D and 2D), we present composite approximations for the principal unidirectional nonlinear electric fields in these ion traps. The composite electric field E has the form E= EnoAperture + EdueToAperture where EnoAperture is the field within an imagined trap which is identical to the practical trap except that the apertures are missing; and where EdueToAperture is the field contribution due to apertures on the two trap electrodes. The field along the principal axis of the trap can in this way be well approximated for any aperture that is not too large. To derive EdueToAperture, classical results of electrostatics have been extended to electrodes with finite thickness and different aperture shapes. EnoAperture is a modified truncated multipole expansion for the imagined trap with no aperture. The first several terms in the multipole expansion are in principle exact (though numerically determined using the BEM), while the last term is chosen to match the field at the electrode. This expansion, once computed, works with any aperture in the practical trap. The composite field approximation for axially symmetric (3D) traps is checked for three geometries: the quadrupole ion trap (QIT), the cylindrical ion trap (CIT) and an arbitrary other trap. The approximation for 2D traps is verified using two geometries: the linear ion trap (LIT)and the rectilinear ion trap (RIT). In each case, for two aperture sizes (10% and 50% of the trap dimension), highly satisfactory fits are obtained. These composite approximations may be used in more detailed nonlinear ion dynamics studies than have been hitherto attempted. In Chapter 3we complement and complete the work presented in Chapter 2 by considering off-axis fields in the axially symmetric (3D) and the two dimensional (2D) ion traps whose electrodes have apertures. Our approximation has two parts. The first, EnoAperture, is the field obtained numerically for the trap under study with no apertures. We have used the boundary element method (BEM) for obtaining this field. The second part, EdueToAperture, is an analytical expression for the field contribution of the aperture. In EdueToAperture, aperture size is a free parameter. A key element in our approximation is the electrostatic field near an infinite thin plate with an aperture, and with different constant valued far field intensities on either side. Compact expressions for this field can be found using separation of variables, wherein the choice of coordinate system is crucial. This field is, in turn, used four times within our trap specific approximation. The off-axis field expressions for the 3D geometries were tested on the quadrupole ion trap (QIT) and the cylindrical ion trap (CIT), and the corresponding expressions for the 2D geometries were tested on the linear ion trap (LIT) and rectilinear ion trap (RIT). For each geometry, we have considered apertures which are 10%, 30% and 50% of the trap dimension. We have found that our analytical correction term EdueToAperture, though based on a classical small-aperture approximation, gives good results even for relatively large apertures. Chapter 4 presents approximate analytical expressions for estimating the variation in multipole expansion coefficients with the size of apertures in axially symmetric (3D) and two dimensional (2D) ion trap mass analysers. Following the approach adopted in Chapter 2 and Chapter 3 which focused on the role of apertures to fields within traps, here too, the analytical expression is a sum of two terms, An,noAperture, the multipole expansion coefficient for a trap with no apertures and An,dueToAperture, the multipole expansion coefficient contributed by the aperture. An,noAperture has been obtained numerically and An,dueToAperture is obtained from the nth derivative of the potential within the trap. The expressions derived have been tested on two 3D geometries and two 2D geometries. These include the quadrupole ion trap (QIT) and the cylindrical ion trap (CIT) for 3D geometries and the linear ion trap (LIT) and the rectilinear ion trap (RIT) for the 2D geometries. Multipole expansion coefficients A2 to A24, estimated by our analytical expressions were compared with the values obtained numerically (using the boundary element method) for aperture sizes varying up to 50% of the trap size. In all the plots presented, it is observed that our analytical expression for the variation of multipole expansion coefficients versus aperture size closely follows the trend of the numerical evaluations for the range of aperture sizes considered. The maximum relative percentage errors, which provide an estimate of the deviation of our values from those obtained numerically for each multipole expansion coefficient, are seen to be in the range of 10% to 15%. The leading multipole expansion coefficient, A2, however, is seen to be estimated very well by our expressions, with most values being within 1% of the numerically determined values, with larger deviations seen for the QIT and LIT only at larger aperture sizes. Chapter 5 presents a few concluding remarks.

京都大学 / 0048 / 新制・課程博士 / 博士(薬科学) / 甲第20303号 / 薬科博第72号 / 新制||薬科||8(附属図書館) / 京都大学大学院薬学研究科薬科学専攻 / (主査)教授 川端 猛夫, 教授 高須 清誠, 教授 竹本 佳司 / 学位規則第4条第1項該当 / Doctor of Pharmaceutical Sciences / Kyoto University / DGAM

京都大学 / 0048 / 新制・課程博士 / 博士(農学) / 甲第21374号 / 農博第2298号 / 新制||農||1066(附属図書館) / 学位論文||H30||N5147(農学部図書室) / 京都大学大学院農学研究科地域環境科学専攻 / (主査)教授 村上 章, 教授 藤原 正幸, 教授 渦岡 良介 / 学位規則第4条第1項該当 / Doctor of Agricultural Science / Kyoto University / DFAM

This thesis presents numerical optimization of geometries of axially symmetric ion trap mass analyzers. The motivation for this thesis is two fold. First is to demonstrate how the automated scheme can be applied to achieve geometry parameters of axially symmetric ion traps for a desired field configuration. Second is, through the Geometries investigated in this thesis, to present practically achievable geometries for mass spectroscopists to use. Here the underlying thought has been to keep the design simple for ease of fabrication (with the possibility of miniaturization) and still ensure that the performance of these analyzers is similar to the stretched geometry Paul traps. Five geometries have been taken up for investigation: one is the well known Cylindrical ion trap (CIT), three are new geometries and the last is the Paul trap under development in our laboratory. Two of these newer geometries have a step in the region of the midline of the cylindrical ring electrode (SRIT) and the third geometry has a step in its endcap electrodes (SEIT). The optimization has been carried out around deferent objective functions composed of the desired weights of higher order multiples. The Nelder-Mead simplex method has been used to optimize trap geometries. The multipoles included in the computations are quadrupole, octopole, dodecapole, hexadecapole,ikosipole and tetraikosipole having weights A2, A4, A6, A8, A10 and A12, respectively.Poincare sections have been used to understand dynamics of ions in the traps investigated. For the CIT, it has been shown that by changing the aspect ratio of the trap the harmful ejects of negative dodecapole superposition can be eliminated, although this results in a large positive A4=A2 ratio. Improved performance of the optimized CIT is suggested by the ion dynamics as seen in Poincare sections close to the stability boundary. With respect to the SRIT, two variants have been investigated. In the first geometry, A4=A2 and A6=A2 have been optimized and in the second A4=A2, A6=A2 and A8=A2 have been optimized; in both cases, these ratios have been kept close to their values reported for stretched hyperboloid geometry Paul traps. In doing this, however, it was seen that the weights of still higher order multipole not included in the objective function, A10=A2 and A12=A2, are high; additionally, A10=A2 has a negative sign. In spite of this, for both these configurations, the Poincare sections predict good performance. In the case of the SEIT, a geometry was obtained for which A4=A2 and A6=A2 are close to their values in the stretched geometry Paul trap and the higher even multipole (A8=A2, A10=A2 and A12=A2) are all positive and small in magnitude. The Poincare sections predict good performance for this con¯guration too. Direct numerical simulations of coupled nonlinear axial/radial dynamics also predict good performance for the SEIT, which seems to be the most promising among the geometries proposed here. Finally, for the Paul trap under development in our laboratory, Poincare sections and numerical simulations of coupled ion dynamics suggest a stretch of 79:7% is the best choice.

Cette thèse comporte deux parties indépendantes. La première étude présente les premiers exemples de métallation de la structure azobenzène par les réactifs organométalliques polaires. Largement utilisés en tant que colorants, les azobenzènes trouvent actuellement de nombreuses applications dans le domaine des matériaux en raison de leur facile photoisomerisation E/Z. Il est montré que les bases organométalliques polaires classiques (n-BuLi, n-BuLi/TMEDA, n-BuLi/t-BuOK, TMPMgCl.LiCl, LDA) ne métallent pas l’azobenzène parent mais réduisent plutôt la liaison N=N. Cependant la métallation est possible avec le tétraméthylpipéridure de lithium si un groupement directeur de métallation tel que le méthoxy (OMe), diéthylamide (CONEt2) ou fluoro (F) est présent sur l’azobenzène. La réaction permet un accès original et direct à de nouveaux azobenzènes substitués. L’objectif de la deuxième partie est la synthèse de dérivés biaryliques chiraux en l’absence de métaux de transition (Pd, Ni…). Les biaryles chiraux sont présents dans de nombreuses molécules biologiquement actives et peuvent être utilisés comme ligands pour la catalyse asymétrique. La substitution nucléophile aromatique des acides naphtoïques en présence de ligands chiraux a été étudiée. Une optimisation fine des conditions réactionnelles (choix du solvant, température, structure du ligand…) a permis de préparer des 1,1’-binaphtalènes, 1,2’-binaphtalènes et phénylnaphtalènes avec de bons rendements et excès énantiomériques (jusqu’à 89% ee). La substitution nucléophile aromatique atroposélective de dérivés d’acides naphtoïques de type naphtyloxazolines et naphtoates est également décrite. / This thesis is divided into two independant parts. The first part describes for the first time the chemoselective lithiation of azobenzenes. Azobenzenes derivatives are widely used as dyes and more recently have been applied to the preparation of photoresponsive molecular switches and materials by taking advantage of the N=N bond E/Z photoisomerization. Whereas standard polar organometallics (n-BuLi, n-BuLi/TMEDA, n-BuLi/t-BuOK, TMPMgCl.LiCl, LDA) reduce the N=N bond of the parent compound, aromatic HLi permutation occurs with LTMP when a suitable director of lithiation (OMe, CONEt2, F) is present in the benzene residue of the azo compound. The method allows a direct access to new substituted azobenzenes.Axially chiral biaryls, which are found in many biologically active natural products, are conventionally used as ligands for asymmetric catalysis. The purpose of the second part is to develop a new method for the preparation of axially chiral biaryls in the absence of transition metals (Pd, Ni…). To tackle that goal, nucleophilic aromatic substitution reactions on unprotected naphthoic acids were performed in the presence of chiral ligands. A careful optimization of the reaction parameters (choice of the solvent, temperature, structure of the ligand…) allowed to prepare chiral 1,1’- binaphthalenes 1,2’- binaphthalenes and phenylnaphthalenes in good yields and enantiomeric excesses (up to 89% ee). The atroposelective SNAr reaction of naphthyloxazoline and naphthoate derivatives was also reported.

In this thesis we have focussed on two types of axially symmetric ion trap mass analysers viz., the quadrupole ion trap mass analyser and the toroidal ion trap mass analyser. We have undertaken three numerical studies in this thesis, one study is on the quadrupole ion trap mass analysers and two studies are on the toroidal ion trap mass analysers. The first study is related to improvement of the sensitivity of quadrupole ion trap mass analysers operated in the resonance ejection mode. In the second study we have discussed methods to determine the multipole coefficients in the toroidal ion trap mass analysers. The third study investigates the stability of ions in the toroidal ion trap mass analysers. The first study presents a technique to cause unidirectional ion ejection in a quadrupole ion trap mass spectrometer operated in the resonance ejection mode. In this technique a modified auxiliary dipolar excitation signal is applied to the endcap electrodes. This modified signal is a linear combination of two signals. The first signal is the nominal dipolar excitation signal which is applied across the endcap electrodes and the second signal is the second harmonic of the first signal, the amplitude of the second harmonic being larger than that of the fundamental. We have investigated the effect of the following parameters on achieving unidirectional ion ejection: primary signal amplitude, ratio of amplitude of second harmonic to that of primary signal amplitude, different operating points, different scan rates, different mass to charge ratios and different damping constants. In all these simulations unidirectional ejection of destabilized ions has been successfully achieved. The second study presents methods to determine multipole coefficients for describing the potential in toroidal ion trap mass analysers. Three different methods have been presented to compute the toroidal multipole coefficients. The first method uses a least square fit and is useful when we have ability to compute potential at a set of points in the trapping region. In the second method we use the Discrete Fourier Transform of potentials on a circle in the trapping region. The third method uses surface charge distribution obtained from the Boundary Element Method to compute these coefficients. Using these multipole coefficients we have presented (1) equations of ion motion in toroidal ion traps (2) the Mathieu parameters in terms of multipole coefficients and (3) the secular frequency of ion motion in these traps. It has been shown that the secular frequency obtained from our method has a good match with that obtained from numerical trajectory simulation. The third study presents stability of ions in practical toroidal ion trap mass analysers. Here we have taken up for investigation four geometries with apertures and truncation of electrodes. The stability is obtained in UDC-VRF plane and later this is converted into A-Q plane on the Mathieu stability plot. Though the plots in terms of Mathieu parameters for these structures are qualitatively similar to the corresponding plot of linear ion trap mass analysers, there is a significant difference. The stability plots of these have regions of nonlinear resonances where ion motion is unstable. These resonances have been briefly investigated and it is proposed that they occur on account of hexapole and octopole contributions to the field in these toroidal ion traps.

Este trabajo contribuye a la organización estudiada a mejorar los procedimientos del proceso de laminación (compuestas por BOPP y PEBD) para así reducir las mermas y los productos defectuosos, estas representan un 15% de desperdicios del total de materia prima que ingresa al proceso, sin embargo, con la aplicación de las metodologías se logró reducir a un 6.2% de desperdicios, resultando en ahorros operacionales en el rango de s/. 46,580 al año. La utilización de las fases DMAIC y Lean, cada uno a su manera, son las principales técnicas estratégicas de resolución de problemas en el mundo industrial. La integración de los dos métodos de calidad traerá la herramienta necesaria para eliminar las mermas y mejorar la productividad a través del comportamiento de los trabajadores, el trabajo en equipo y optimizando los procesos. Los gerentes e ingenieros encargados de mejorar las operaciones y los procesos pueden beneficiarse de este documento, ya que puede servir de guía para dirigir la realización de futuros proyectos y la aplicación empírica de sus principios y herramientas. / This work contributes to help the organization studied to improve procedures for the lamination process (compound of BOPP and LDPE) to reduce waste and defective products, represent 15% of waste of all raw material entering To the process, however, with the application of the methodologies was reduced to a 6.2% of waste, resulting in operational savings in the range of s /. 46,580 per year. The use of the DMAIC and Lean phases, each in its own way, are the main strategic techniques for solving problems in the industrial world. The integration of the two quality methods will bring the necessary tool to eliminate the losses and improve the productivity through the behavior of the workers, the team work and optimizing the processes. Managers and engineers in charge of improving operations and processes can benefit from this document as it can guide future projects and the empirical application of their principles and tools. / Trabajo de Suficiencia Profesional