Abstract: | The thesis entitled "Sol-Gel Alumina Nano Composites for Functional Applications" investigate sol-gel methods of synthesis of alumina nanocomposites special reference to alumina-aluminium titanate and alumina-lanthanum phosphate composites. The functional properties such as thermal expansion coefficient and thermal shock resistance, machinability of composites as well as thermal protection are highlighted in addition to novel approach in synthesis of composites.A general introduction of alumina matrix composites materials, followed by brief coverage of alumina-aluminium titanate and alumina-lanthanum phosphate composites is highlight of the first chapter. The second chapter deals with the sol-gel synthesis of aluminium titanate and alumina-aluminium titanate composite. The synthesis of machinable substrate, based on alumina and lanthanum phosphate forms the basis of the third chapter. The fourth chapter describes the sol-gel coating of mullite on SiC substrate for the possible gas filtration application. |
URI: | http://dyuthi.cusat.ac.in/purl/2661 |
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Dyuthi-T0713.pdf | (5.886Mb) |
Abstract: | Lanthanum phosphate is one among the lanthanide family of “Rare Earths” following the periodic table of elements. Known under the generic name, Monazite, the rare earth phosphates have melting points above 1900 °C, high thermal phase stability, low thermal conductivity and thermal expansion coefficient similar to some of the high temperature oxides like alumina and zirconia. |
Description: | Research work on Interdisciplinary |
URI: | http://dyuthi.cusat.ac.in/purl/5076 |
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Dyuthi-T 2139.pdf | (11.51Mb) |
Abstract: | The thesis covers a systematic investigation on the synthesis of silica aerogels and microspheres with tailored porosity, at ambient conditions by varying the experimental parameters as well as using organic templates. Organically modified silica-gelatin and silica-chitosan hybrids were developed for the first time using alkylalkoxysilanes such as MTMS and VTMS. Application of novel silica-biopolymer antiwetting coatings on different substrates such as glass, leather and textile is also demonstrated in the thesis. |
URI: | http://dyuthi.cusat.ac.in/xmlui/purl/1984 |
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Dyuthi-T0454.pdf | (2.119Mb) |
Abstract: | In the present work Titania bulk powders and coatings were prepared by subjecting titanium isopropoxide solution to a controlled hydrolysis-condensation process. The powders were characterized using techniques such as FTIR for their chemical interactions, TG-DTA for the thermal decomposition features, XRD for the phase assemblage, BET specific surface area analysis for the textural features. The study discusses the preparation methods and the characterization techniques employed and a detailed discussion on the physico-chemical characterization of the prepared systems. The influence of dopants and leaching on the physico-chemical properties as well as their influence on photo activity is also included. The structural/functional coatings of different Titania compositions includes in this study. Coatings on pre-treated glass surfaces with the best compositions prepared showed 90 % transmittance in the visible region. |
URI: | http://dyuthi.cusat.ac.in/purl/93 |
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Dyuthi-T0143.pdf | (11.26Mb) |
Abstract: | The research on nanocrystalline materials have been of great interest for more than 20 years due to its fundamental properties as well as development of technology based on it. Non-toxic semiconducting nanocrystals are important materials with wide range of applications in the areas of biotechnology, medicine, bio-optics and for the fabrication light emitting and harvesting devices. Majority of the II-VI semiconductors possess wide band gap along with high iconicity and are important materials for optoelectronic devices operating under the UV excitation sources. Among the II-VI semiconductors, ZnS is a material with good optical transmission in the visible region with large exciton binding energy of about 40 meV. ZnS usually crystallizes in cubic form which is zinc blende or sphalerite and its hexagonal form is in wurtzite phase. The cubic sphalerite phase of ZnS has a band gap of 3.68 eV whereas the hexagonal (wurtzite) phase has a band gap of 3.77 eV. Moreover, ZnS is a good host lattice phosphor for photonic applications and electroluminescent devices because of its wide band gap. The present thesis deals with the synthesis and photoluminescence studies of micro and nanostructured ZnS by hydrothermal and solvo-hydrothermal method. Thesis is also focused on bioimaging application of these materials. |
URI: | http://dyuthi.cusat.ac.in/purl/5142 |
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Dyuthi-T2176.pdf | (14.38Mb) |
URI: | http://dyuthi.cusat.ac.in/purl/1025 |
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Syed Aftab Husan Rizvi 1984.pdf | (279.9Kb) |
Abstract: | This thesis is an attempt to throw light on the works of some Indian Mathematicians who wrote in Arabic or persian In the Introductory Chapter on outline of general history of Mathematics during the eighteenth Bnd nineteenth century has been sketched. During that period there were two streams of Mathematical activity. On one side many eminent scholers, who wrote in Sanskrit, .he l d the field as before without being much influenced by other sources. On the other side there were scholars whose writings were based on Arabic and Persian text but who occasionally drew upon other sources also. |
Description: | Department of Mathematics and Statistics, Cochin University of Science and Technology |
URI: | http://dyuthi.cusat.ac.in/purl/3645 |
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Dyuthi-T1621.pdf | (9.681Mb) |
URI: | http://dyuthi.cusat.ac.in/purl/1684 |
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Dyuthi-T0154.pdf | (5.245Mb) |
Abstract: | The term reliability of an equipment or device is often meant to indicate the probability that it carries out the functions expected of it adequately or without failure and within specified performance limits at a given age for a desired mission time when put to use under the designated application and operating environmental stress. A broad classification of the approaches employed in relation to reliability studies can be made as probabilistic and deterministic, where the main interest in the former is to device tools and methods to identify the random mechanism governing the failure process through a proper statistical frame work, while the latter addresses the question of finding the causes of failure and steps to reduce individual failures thereby enhancing reliability. In the probabilistic attitude to which the present study subscribes to, the concept of life distribution, a mathematical idealisation that describes the failure times, is fundamental and a basic question a reliability analyst has to settle is the form of the life distribution. It is for no other reason that a major share of the literature on the mathematical theory of reliability is focussed on methods of arriving at reasonable models of failure times and in showing the failure patterns that induce such models. The application of the methodology of life time distributions is not confined to the assesment of endurance of equipments and systems only, but ranges over a wide variety of scientific investigations where the word life time may not refer to the length of life in the literal sense, but can be concieved in its most general form as a non-negative random variable. Thus the tools developed in connection with modelling life time data have found applications in other areas of research such as actuarial science, engineering, biomedical sciences, economics, extreme value theory etc. |
Description: | Division of Statistics, School of Mathematical Sciences, Cochin University of Science and Technology |
URI: | http://dyuthi.cusat.ac.in/purl/3696 |
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Dyuthi-T1661.pdf | (1.439Mb) |
Abstract: | It is highly desirable that any multivariate distribution possessescharacteristic properties that are generalisation in some sense of the corresponding results in the univariate case. Therefore it is of interest to examine whether a multivariate distribution can admit such characterizations. In the exponential context, the question to be answered is, in what meaning— ful way can one extend the unique properties in the univariate case in a bivariate set up? Since the lack of memory property is the best studied and most useful property of the exponential law, our first endeavour in the present thesis, is to suitably extend this property and its equivalent forms so as to characterize the Gumbel's bivariate exponential distribution. Though there are many forms of bivariate exponential distributions, a matching interest has not been shown in developing corresponding discrete versions in the form of bivariate geometric distributions. Accordingly, attempt is also made to introduce the geometric version of the Gumbel distribution and examine several of its characteristic properties. A major area where exponential models are successfully applied being reliability theory, we also look into the role of these bivariate laws in that context. The present thesis is organised into five Chapters |
Description: | Department of Mathematics and Statistics, Cochin University of Science and Technology |
URI: | http://dyuthi.cusat.ac.in/purl/3657 |
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Dyuthi-T1577.pdf | (3.283Mb) |
URI: | http://dyuthi.cusat.ac.in/purl/1679 |
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Dyuthi-T0153.pdf | (4.461Mb) |
URI: | http://dyuthi.cusat.ac.in/purl/1676 |
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Dyuthi-T0152.pdf | (4.552Mb) |
Abstract: | This thesis entitled Reliability Modelling and Analysis in Discrete time Some Concepts and Models Useful in the Analysis of discrete life time data.The present study consists of five chapters. In Chapter II we take up the derivation of some general results useful in reliability modelling that involves two component mixtures. Expression for the failure rate, mean residual life and second moment of residual life of the mixture distributions in terms of the corresponding quantities in the component distributions are investigated. Some applications of these results are also pointed out. The role of the geometric,Waring and negative hypergeometric distributions as models of life lengths in the discrete time domain has been discussed already. While describing various reliability characteristics, it was found that they can be often considered as a class. The applicability of these models in single populations naturally extends to the case of populations composed of sub-populations making mixtures of these distributions worth investigating. Accordingly the general properties, various reliability characteristics and characterizations of these models are discussed in chapter III. Inference of parameters in mixture distribution is usually a difficult problem because the mass function of the mixture is a linear function of the component masses that makes manipulation of the likelihood equations, leastsquare function etc and the resulting computations.very difficult. We show that one of our characterizations help in inferring the parameters of the geometric mixture without involving computational hazards. As mentioned in the review of results in the previous sections, partial moments were not studied extensively in literature especially in the case of discrete distributions. Chapters IV and V deal with descending and ascending partial factorial moments. Apart from studying their properties, we prove characterizations of distributions by functional forms of partial moments and establish recurrence relations between successive moments for some well known families. It is further demonstrated that partial moments are equally efficient and convenient compared to many of the conventional tools to resolve practical problems in reliability modelling and analysis. The study concludes by indicating some new problems that surfaced during the course of the present investigation which could be the subject for a future work in this area. |
Description: | Department of Statistics, Cochin University of Science and Technology |
URI: | http://dyuthi.cusat.ac.in/purl/3095 |
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Dyuthi-T1069.pdf | (2.275Mb) |
Abstract: | This thesis contains a study of conservation laws of fluid mechanics. These conservation laws though classical, have been put to extensive studies in t:he past many decades |
Description: | Department of Mathematics And Statistics, Cochin University of Science And Technology |
URI: | http://dyuthi.cusat.ac.in/purl/3825 |
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Dyuthi-T1756.pdf | (1.956Mb) |
URI: | http://dyuthi.cusat.ac.in/purl/5246 |
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Dyuthi T-2282.pdf | (1.927Mb) |
Abstract: | The main purpose of the study is to extent concept of the class of spaces called ‘generalized metric spaces’ to fuzzy context and investigates its properties. Any class of spaces defined by a property possessed by all metric spaces could technically be called as a class of ‘generalized metric spaces’. But the term is meant for classes, which are ‘close’ to metrizable spaces in some under certain kinds of mappings. The theory of generalized metric spaces is closely related to ‘metrization theory’. The class of spaces likes Morita’s M- spaces, Borges’s w-spaces, Arhangelskii’s p-spaces, Okuyama’s spaces have major roles in the theory of generalized metric spaces. The thesis introduces fuzzy metrizable spaces, fuzzy submetrizable spaces and proves some characterizations of fuzzy submetrizable spaces, and also the fuzzy generalized metric spaces like fuzzy w-spaces, fuzzy Moore spaces, fuzzy M-spaces, fuzzy k-spaces, fuzzy -spaces study of their properties, prove some equivalent conditions for fuzzy p-spaces. The concept of a network is one of the most useful tools in the theory of generalized metric spaces. The -spaces is a class of generalized metric spaces having a network. |
URI: | http://dyuthi.cusat.ac.in/purl/46 |
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Dyuthi-T0120.pdf | (2.493Mb) |
Abstract: | It is believed that every fuzzy generalization should be formulated in such a way that it contain the ordinary set theoretic notion as a special case. Therefore the definition of fuzzy topology in the line of C.L.CHANG E9] with an arbitrary complete and distributive lattice as the membership set is taken. Almost all the results proved and presented in this thesis can, in a sense, be called generalizations of corresponding results in ordinary set theory and set topology. However the tools and the methods have to be in many of the cases, new. Here an attempt is made to solve the problem of complementation in the lattice of fuzzy topologies on a set. It is proved that in general, the lattice of fuzzy topologies is not complemented. Complements of some fuzzy topologies are found out. It is observed that (L,X) is not uniquely complemented. However, a complete analysis of the problem of complementation in the lattice of fuzzy topologies is yet to be found out |
Description: | Depantment of Mathematics and Statistics Cochin University of Scince and Technology |
URI: | http://dyuthi.cusat.ac.in/purl/3440 |
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Dyuthi-T1417.pdf | (1.609Mb) |
Abstract: | An immense variety of problems in theoretical physics are of the non-linear type. Non~linear partial differential equations (NPDE) have almost become the rule rather than an exception in diverse branches of physics such as fluid mechanics, field theory, particle physics, statistical physics and optics, and the construction of exact solutions of these equations constitutes one of the most vigorous activities in theoretical physics today. The thesis entitled ‘Some Non-linear Problems in Theoretical Physics’ addresses various aspects of this problem at the classical level. For obtaining exact solutions we have used mathematical tools like the bilinear operator method, base equation technique and similarity method with emphasis on its group theoretical aspects. The thesis deals with certain methods of finding exact solutions of a number of non-linear partial differential equations of importance to theoretical physics. Some of these new solutions are of relevance from the applications point of view in diverse branches such as elementary particle physics, field theory, solid state physics and non-linear optics and give some insight into the stable or unstable behavior of dynamical Systems The thesis consists of six chapters. |
Description: | Department of Physics, Cochin University of Science and Technology |
URI: | http://dyuthi.cusat.ac.in/purl/3303 |
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Dyuthi-T1270.pdf | (4.265Mb) |
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