Studies on the dynamics and rheology of dilute suspensions of Brownian particles in simple shear flow under the action of an external force

We present a novel approach to computing the orientation moments and rheological properties of a dilute suspension of spheroids in a simple shear flow at arbitrary Peclct number based on a generalised Langevin equation method. This method differs from the diffusion equation method which is commonly used to model similar systems in that the actual equations of motion for the orientations of the individual particles are used in the computations, instead of a solution of the diffusion equation of the system. It also differs from the method of 'Brownian dynamics simulations' in that the equations used for the simulations are deterministic differential equations even in the presence of noise, and not stochastic differential equations as in Brownian dynamics simulations. One advantage of the present approach over the Fokker-Planck equation formalism is that it employs a common strategy that can be applied across a wide range of shear and diffusion parameters. Also, since deterministic differential equations are easier to simulate than stochastic differential equations, the Langevin equation method presented in this work is more efficient and less computationally intensive than Brownian dynamics simulations.We derive the Langevin equations governing the orientations of the particles in the suspension and evolve a procedure for obtaining the equation of motion for any orientation moment. A computational technique is described for simulating the orientation moments dynamically from a set of time-averaged Langevin equations, which can be used to obtain the moments when the governing equations are harder to solve analytically. The results obtained using this method are in good agreement with those available in the literature.The above computational method is also used to investigate the effect of rotational Brownian motion on the rheology of the suspension under the action of an external force field. The force field is assumed to be either constant or periodic. In the case of con- I stant external fields earlier results in the literature are reproduced, while for the case of periodic forcing certain parametric regimes corresponding to weak Brownian diffusion are identified where the rheological parameters evolve chaotically and settle onto a low dimensional attractor. The response of the system to variations in the magnitude and orientation of the force field and strength of diffusion is also analyzed through numerical experiments. It is also demonstrated that the aperiodic behaviour exhibited by the system could not have been picked up by the diffusion equation approach as presently used in the literature.The main contributions of this work include the preparation of the basic framework for applying the Langevin method to standard flow problems, quantification of rotary Brownian effects by using the new method, the paired-moment scheme for computing the moments and its use in solving an otherwise intractable problem especially in the limit of small Brownian motion where the problem becomes singular, and a demonstration of how systems governed by a Fokker-Planck equation can be explored for possible chaotic behaviour.

The Aesthetics Of Paul Verlaine And Changampuzha Krishnapillai - A Comparative Perspective

The present study is entitled The Aesthetics of Paul Verlaine and Changampuzha Krishnapillai - a comparative perspective. The purpose of the study is to compare the poetic genius of the French poet Paul Verlaine (1844-1896) and that of the Malayalam poet Changampuzha Krishnapillai (1911-1948), within a descriptive framework. The investigation will hopefully answer the questions- Has Changampuzha been indeed influenced by Verlaine, if so, to what extent? Can the aesthetic appreciation be justified in both poets as illustrated in their works? The comparative methodology of juxtaposing the selected oeuvres of the poets is largely adopted in the study. Since the span of analysis is across national and linguistic borders, the distinguishing as well as exclusive traits of the individual poets will be of much importance in formulating the comparative assumption in this work. The vastly differing geographical, linguistic and cultural milieus of these two poets,-one a national French poet and the other, a regional Indian poet writing in Malayalam prima facie,endow the theme of the dissertation with an innate hue of diversity. Such an ambitious task would naturally entail a renewed research into the dedication of the poets to their muses and their ultimate contributions to poetics. The analysis, while attempting to illuminate from a fresh angle, the amply researched oeuvre of Verlaine and the lesser studied one of Changampuzha, cannot but be aware of the limitations of the task at hand. The present study is the first of its kind on the specific theme of analysis, and is hoped that it would be of relevance since no work has so far been known to have been undertaken on the topic. At a time when the birth centenary celebrations of Changampuzha have just concluded, this study is hoped to assume significance as it would help in isolating the originality of the poet's works, extricating the garb of the French influence. Ultimately, this study aims at creating a wider appreciation of the impact that the French writers have had on Malayalam writers, thus shedding new light on the benign foreign influences that served to enhance the beauty of our cultural heritage

Socio-Economic Aspects of Sustainable Ecotourism Development: The Case of Kerala

The paper is an attempt to shed light on the socio-economic aspects of the local communities on the development of ecotourism in Kerala. Most of the local communities in the ecotourism destinations are tribes who have been excluded from the mainstream society and are not a part of Kerala’s overall development setting. The paper also tries to situate the community perception on the sustainable livelihood of ecotourism sites of Kerala. Data for the study is obtained from a primary survey by dividing the ecotourism destinations in Kerala into three zones, 230 from south zone, 220 from central zone and 200 from north zone with a total sample size of 650 based on the notion of community based ecotourism initiatives of the state. The result of the study confirms that ecotourism has helped to enhance the livelihood of the marginalized community. With well-knit policies it is possible to tag ecotourism of Kerala as an important tourism destination in the global tourism map