STUDIES ON THE STRESS FLUCTUATIONS IN SHEARED STOKESIAN SUSPENSIONS USING CHAOS THEORY AND NONLINEAR DYNAMICS

The thesis report results obtained from a detailed analysis of the fluctuations of the rheological parameters viz. shear and normal stresses, simulated by means of the Stokesian Dynamics method, of a macroscopically homogeneous sheared suspension of neutrally buoyant non-Brownian suspension of identical spheres in the Couette gap between two parallel walls in the limit of vanishingly small Reynolds numbers using the tools of non-linear dynamics and chaos theory for a range of particle concentration and Couette gaps. The thesis used the tools of nonlinear dynamics and chaos theory viz. average mutual information, space-time separation plots, visual recurrence analysis, principal component analysis, false nearest-neighbor technique, correlation integrals, computation of Lyapunov exponents for a range of area fraction of particles and for different Couette gaps. The thesis observed that one stress component can be predicted using another stress component at the same area fraction. This implies a type of synchronization of one stress component with another stress component. This finding suggests us to further analysis of the synchronization of stress components with another stress component at the same or different area fraction of particles. The different model equations of stress components for different area fraction of particles hints at the possible existence a general formula for stress fluctuations with area fraction of particle as a parameter

Theory of Breaking of a Potyrner Molecule under Tension

The thesis presents the dynamics of a polymer chain under tension. It includes existing theories of polymer fracture, important theories of reaction rates, the rate using multidimensional transition state theory and apply it to the case of polyethylene etc. The main findings of the study are; the life time of the bond is somewhat sensitive to the potential lead to rather different answers, for a given potential a rough estimate of the rate can be obtained by a simples approximation that considers the dynamics of only the bond that breaks and neglects the coupling to neighboring bonds. Dynamics of neighboring bonds would decrease the rate, but usually not more than by one order of magnitude, for the breaking of polyethylene, quantum effects are important only for temperatures below 150K, the lifetime strongly depends on the strain and as the strain varies over a narrow range, the life varies rapidly from 105 seconds to 10_5 seconds, if we change one unit of the polymer by a foreign atom, say by one sulphure atom, in the main chain itself, by a weaker bond, the rate is found to increase by orders of magnitude etc.

Multipole Theory Analysis of Cutoff Wavenumbers of Waveguides Partially Filled with Dielectric

A new approach, the multipole theory (MT) method, is presented for the computation of cutoff wavenumbers of waveguides partially filled with dielectric. The MT formulation of the eigenvalue problem of an inhomogeneous waveguide is derived. Representative computational examples, including dielectric-rod-loaded rectangular and double-ridged waveguides, are given to validate the theory, and to demonstrate the degree of its efficiency

Legal Protection for Consumer of Pharmaceutical Products

The overall focus of the thesis involves the legal protection for consumers of pharmaceutical products.The work on “Legal Protection for Consumers of Pharmaceutical Products” is undertaken to study the legal framework that is existing for this purpose and the functioning of regulating mechanism that is envisaged under it. The purpose of the study is to analyse how far these measures are effective in adequately protecting various aspects of consumer interest. Methodology adopted for the study is analytical.The present study revealed that the theory of freedom of contract is only an ideal relevant when the parties are assumed to be on equal footing.In a more complicated social and economic society, it ceased to have any relevance. Many countries in the world enacted legislations to protect the consumers of pharmaceutical products.The meaning of ‘consumers of drugs’ provided in the law is inclusive and not exhaustive one. The definition of ‘drug’ as interpreted by the courts is comprehensive enough to take in it not only medicines but also substances. The meaning of the word substances has been widened by the interpretation of the courts so as to include all the things used in treatment.The definition of the word ‘consumer’ has been liberally interpreted by the courts so as to provide protective net to a large section of the public.The studies subsequent to this report also revealed that there is a shortage of essential drugs necessary to cure local diseases like tuberculosis and malaria where as drugs containing vitamins and other combinations which are more profitable for the manufacturers are produced and marketed in abundance.The study of the provisions in this regard revealed that the duty of the drug controlling authorities is confined to scrutinize the data of the clinical test already conducted by the sponsor of the drug.Study of the clinical trial procedure under the U.S. law revealed that there is a continuous supervision over clinical trials and controls are provided on the treatment use of an investigational productStudy of the clinical trial procedure under the U.S. law revealed that there is a continuous supervision over clinical trials and controls are provided on the treatment use of an investigational product.the study of the provisions of the Drugs and Cosmetics Act and the rules framed under it revealed that the law in this regard is comprehensive to protect the consumer provided it is sufficiently supported by adequately equipped enforcement machinery.

Theory of differential inequalities with appliciations to singular perturbiation problems and method of lines

During recent years, the theory of differential inequalities has been extensively used to discuss singular perturbation problems and method of lines to partial differential equations. The present thesis deals with some differential inequality theorems and their applications to singularly perturbed initial value problems, boundary value problems for ordinary differential equations in Banach space and initial boundary value problems for parabolic differential equations. The method of lines to parabolic and elliptic differential equations are also dealt The thesis is organised into nine chapters