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Effectiveness of emotion recognition tranining on socail and emotional skills in young children with autism spectrum disorder
The rising prevalence of Autism Spectrum Disorders necessitates the determination of newlinenovel intervention methods for its management. Since deficits in social skills are one of the most prominent features in ASD, efficient interventions for improving social skills become necessary. Several studies suggest a strong relationship between newlineemotional skills and the acquisition of social skills. Objectives: The objective of this study was to find out the effectiveness of emotion recognition training on the social newlineand emotional skills of children with ASD by obtaining quantitative results from the newlineparticipants after emotion recognition training and then following up in-depth through a qualitative thematic analysis after interview with selected parents of the participants. Method: In the quantitative phase, a sample of ten children within three to six years of age who are diagnosed with ASD were selected for the study. The emotion newlinerecognition training followed the modified and adapted version of the hands-on newlineactivities from the Let s Face It curriculum which was validated after a pilot study. Each child was given 20 to 30 sessions of training. The participants were assessed for their social skills using VABS-3 and emotional skills were assessed using CDDC, newlinebefore, during, and after the training. The qualitative phase involved an interview with newlinethe parent using a semi-structured guide. Results: The quantitative and qualitative newlineresults indicated that there is a significant difference in the social skills and emotional newlineskills of the children after the training. The results also showed a sufficient newlinegeneralization of the skills achieved. Incidental finding revealed reduction of problem behaviours. Conclusions: The study clearly shows that emotion recognition training is effective in improving social and emotional skills in children with ASD. -
A Study on defective colouring of graphs
If different technology represents distinct colours that are to be located on some geographical region which can be represented as vertices of a graph, then the proper colouring is obtained when no two technology of same type share a common edge between the vertices they are placed on. The minimum number of technology required for such a colouring of a graph is the chromatic number of the graph. However, if the available technology are less than that of the minimum required, then the question arises on how to place the technology on the vertices of a graph in such a way that there is a minimum adjacency between the technology of same type. The solution for this problem can be attained by defining certain rules for the properness of colouring in which a few thresholds are tolerated. We know that, in a proper colouring every colour class is an independent set. If the available colours to colour a graph is less than that of the chromatic number of graphs, then a threshold that can be tolerated is permitting few colour classes to be non-independent set. An edge uv is said to be a monochromatic edge or bad edge if the colours assigned to both u and v are the same. A near proper colouring of graphs is a colouring that minimises the number of monochromatic edges by permitting few colour classes to have adjacency between the elements in it. The minimum number of monochromatic edges obtained from near proper colouring is called near defect number, denoted by B_k (G). A and#948;^((k))-colouring of graph G is a near proper colouring of G consisting of k given colours, where 1and#8804;kand#8804;and#967;(G)-1, which minimises the number of monochromatic edges by permitting at most one colour class to have adjacency among the vertices in it. The and#948;^((k))-defect number is the minimum number of monochromatic edges obtained from a and#948;^((k))-colouring of graphs and it is denoted by b_k(G). The study concerned is the further work on a near proper colouring and a and#948;^((k))-colouring of graphs. -
Studies on color energy and its variations in graphs
This thesis consists of studies on color energy and its variations in graphs. Apart from the exploration of color energy corresponding to various coloring schemes, the notion of P-energy as a generalization of color energy has been introduced. The computation of color energy and P-energy of graphs has been carried out using Python programs, while the general results are derived using research methods and proof techniques in linear algebra. The bounds of color energy for a graph G have been established in terms of several graph parameters such as chromatic number and#967;(G), domination number and#947;(G), maximum degree and#8710;(G) etc. It has been found out that the color energy of a graph G is greater than or equal to 1 n and#947;(G) q 2(m + mand#8242;c). Further, the bounds of color energy of a graph G in terms of extreme eigenvalues of color matrix of G have been obtained. The study on color energy with respect to the minimum number of colors and L(h, k)-coloring has been examined in detail for some families of graphs such as star graph, double star, crown graph and their color complements. We have also examined the variation of color energy in the specific cases of T-coloring and radio coloring for some families of graphs. The examination of color energy corresponding to some improper colorings such as Hamiltonian coloring, open neighborhood coloring and improper C-coloring has also been done. Moreover, the color equi-energetic families of graphs with respect to various coloring schemes have been investigated. The concept of P-energy has been introduced as a generalization of the concept of color energy. This stems from the fact that coloring problems in essence are vertex partition problems. For any vertex partition P having k elements, we define the P-matrix AP(G) having and#8722;1, 0, 1, 2 as off diagonal entries and diagonal entries represent the cardinality of the elements in partition P. Then, the P-energy EP(G) is defined as the sum of the absolute values of eigenvalues of P-matrix of G. -
A Study on Partial Domination in Graphs
The theory of domination is one of the most studied fields in graph theory. Many new domination parameters have been defined and studied so far. One such parame- ter that was introduced in 2017 is partial domination number. For a graph G = (V, E) and for a p and#8712; (0, 1], a subset S of V (G) is said to partially dominate or p-dominate G if |N[S]| and#8805; p|V (G)|. The cardinality of a smallest p-dominating set is called the p-domination number and it is denoted by and#947;p(G). In scenarios wherein domination con-cepts are applied, partial domination concepts can also be applied with the added ad-vantage of being able to dominate the underlying graph partially, when the need arises. This advantage makes this parameter appear unique amongst most other domination parameters. We present some basic properties of partial dominating sets, some prop- erties related to particular values of p, some properties related to the eccentricity of a p-dominating set, some results in the line of classical domination and characterization of minimal and minimum p-dominating sets. Then we study partial domination in the con-text of prisms of graphs. We give some bounds for partial domination numbers of prisms of graphs G in terms of partial domination numbers of G for particular values of p. We define universal and#947;p-fixers and universal and#947;p-doublers and we characterize paths, cycles and complete bipartite graphs which are universal and#947;1 2 - fixers and universal and#947;1 2 - dou- blers. Then we concentrate on establishing a domination chain in the context of partial domination, which we call as partial domination chain . For this, we defined indepen-dent partial domination number (IPD-number), found exact values of IPD-numbers for some classes of graphs, found bounds for IPD-numbers in terms of independent domi-nation number and some relations between the independent partial dominating sets and the independent dominating sets. -
Elemental Abundances in the Interstellar Medium
One method to investigate the chemical composition of the interstellar medium (ISM) and interstellar dust grains is to conduct interstellar elemental depletion studies, especially of highly abundant species. The role refractory element, silicon (Si) in extinction is not clearly understood and the distribution and evolution of moderately volatile sulfur (S) in the ISM is still an open problem. The key motivation of the work is to investigate the chemical composition of ISM of our Galaxy, and the formation, processing and distribution of interstellar dust in its different environments, mainly focusing on silicon and sulfur abundances, both in gas and dust. In the work outlined in this thesis, I will be describing the gas and dust phase abundances of Si and S in the interstellar medium using archival observations, and their probable role in the observed extinction. In this work, we also have measured the column density of S II along 9 Galactic sight lines using archival high-resolution observations from the Space Telescope Imaging Spectrograph and determined the abundances of S in both gas and dust phases. Using Archival spectral data towards 131 target stars in the Galaxy, interstellar Si abundances and depletion along those lines of sight has been surveyed. Oscillator strength correction has been performed to account for its improvements, using most recent values. This is an extensive survey done using a much larger data sample compared to previous investigations, but it substantiate the majority of the findings, which show that Si depletion is linked to both the average hydrogen density (n (H)) and the fraction of molecular hydrogen (f(H2)) along the lines of sight. Using this data, the distribution of Si and the variation of dust attributes with Si abundances also has been investigated and found that the linear component of the extinction curve is unrelated to depletion of silicon. -
A Framework for Integrating Nested Queries in Natural Language Interfaces to Databases
To translate Natural Language (NL) statements into Structured Query Language (SQL) queries, different methods and systems were proposed in the past. This work presents a framework for automating the translation of Data Requirement Specifications (DRS) given by enterprise Business Users in NL into SQL queries, focusing on requirements that result in the generation of nested SQLs. The framework takes the business user s DRS given in English as input and generates an initial query sketch by employing semantic parsing. This initial sketch is further refined and newlinecompleted into a well-formed SQL by consulting the Database Schema. It performs newlinethe translation by combining NL processing techniques with Query Sketch generation newlinemethods and refines it by employing Repair techniques or extends it further. The newlineframework suggests using Lambda expressions for intermediate representation and newlineemploys standard operations of Lambda Calculus for performing the required newlinetransformations needed for translation. Lambda Context Calculus (LCC) provides the newlineoperational semantics and the relevant methods needed in transforming NL statements newlineinto SQL, preserving the integrity and compositionality24 of expressions in every step of the translation. Though Lambda Calculus is found to be effective in representing the intermediate expressions and assists in performing the transformations that are needed for translating specific predicates into SQL, its inflexibility in combining parallel computations is a constraint. To represent clauses that are in parallel or are in pipeline, and to perform the required transformations on the intermediate expressions involving these, more advanced programming constructs are needed. It also adopts functional programming techniques to deal with complex scenarios involving nested queries. -
Influence of Celebrity Source Credibility and Celebrity-Fan Relationship on Fan's Attitude Towards Social Cause
Celebrities hold a special place in popular imagination. Their power to inspire fashion, choice of vacation, dictate food preferences and a host of other services is an interesting field of study. Over the years, celebrity endorsement has appeared as a leading advertisement format in developing newlinesuccessful brand campaigns. Celebrity endorsements are grounded on a common belief that endorsers can increase advertisement credibility thereby increasing brand image, awareness, and purchase behaviour. newlineUnderstanding the nature of celebrities as sources in advertisements and promotions is a widely researched topic. There is an abundance of literature on the use of celebrities in commercial advertising with the end goal being sales and profits realised through intermediate outcomes such as brand newlineimage, attitude change, brand awareness and many others. Several celebrities across the world have endorsed social cause campaigns sponsored by governments and not-for-profit organizations. However, the impact of the newlinecelebrity in such campaigns is an under-studied topic. Furthermore, celebrity newlineendorsement studies in the past have largely focused on celebrity endorsement mechanisms related to celebrity s characteristics and the outcomes related to the brand. Not much is being mentioned about fans. This study introduces a new audience-related factor the celebrity-fan para social relationship newlinemeasured using celebrity attitude scale (CAS). Thus, this study extends its context beyond commercial products and positions in the backdrop of social marketing. To achieve the purpose of the study and answer the research questions, the National Anti-Tobacco Campaign endorsed by former cricketer, newlineRahul Dravid was considered for the study. The chosen campaign had high visibility with the social advertisement being aired in movie halls and television channels across several Indian languages. The study focused on newlineunderstanding the influence of source credibility factors on attitude towards newlinesocial cause. -
Legal Aid Education in Karnataka: A Critical Analysis
Legal Education has witnessed major transformations since the last few decades. The Constitutional ideals of justice, have been the foundational philosophy of legal newlineeducation in India. Consequently, legal aid has been a crucial link in the entire gamut newlineof advancing the values of justice. However, these purposes and ideals have undergone newlinemutations over the years. Aligned to these ideals, the Bar Council of India, had newlineintroduced legal aid as an important pedagogic tool that can fulfil twin mandate of providing justice to the common man and at the same time, train the students of law in newlinethe necessary skills and imbibe values in their journey of professional and social newlinecommitments. The history of legal aid is not new, in India and in the global context, yet legal aid as an educational tool is undermined and least prioritized in institutions that impart legal education. This could be attributed to various reasons, priorities of the institutions, ambiguity in understanding and working towards these goals. With the emergence of National Law Universities and various types of institutions on one hand and the newlineproportional rise in the number of students pursuing legal education on the other hand, newlinecreates a vast arena for the institutions to augment the existing resources in contributing to the societal needs. There have been various studies that have been conducted which focus on certain newlineaspects of law school clinics, specifically in creating Access to Justice. But there have newlinebeen limited studies in considering legal aid as an educational tool in terms of Teaching, newlineLearning and Research. There has been lack of evidence based approach that are employed to understand impending issues that hamper the effective working of legal aid within an institutional set-up. Hence the current study focuses on how the internal and external pressures act on legal aid within four different types of institutions across the state of Karnataka. -
Biotechnological Approaches For the IN - VITRO Production of L-DOPA From Callus Suspension Cultures of Mucuna Pruriens (L.) DC.
Plants are an important source of drugs to treat wide array of disorders due to the newlineproduction of various classes of secondary metabolites which are used as active ingredients to treat and cure diseases. One such commercially important metabolite known as 3,4 dihydroxyphenylalanine (L-DOPA) is used to treat various central nervous system disorders like Dementia, Parkinson s, Alzheimer s, etc. Mucuna pruriens (L.) DC. belonging to Fabaceae family has been used since time immemorial to treat Parkinson s disease and the seeds are the main source of all herbal formulations to treat various disorders of nervous system and male newlinereproductive system. Though the metabolite is present in all parts of Mucuna, seeds possess newlinethe highest concentration and it has become a huge challenge to satisfy the emerging demand newlinefor L-DOPA. This is attributed to the conventional methods of extraction from the natural sources of Mucuna sps., which has a low germination rate, less viable seeds and an irritating, itching trichomes on the pods. The need for an alternative method with continuous supply of L-DOPA without affecting the natural biodiversity has been achieved through in-vitro procedures. But there hasn t been a systematic approach to optimize the cultural conditions for the optimal productivity. Hence in our study, we aimed at selecting an elite germplasm of Mucuna pruriens and growing them in-vitro, along with establishing a callus suspension newlineculture and optimizing the cultural conditions for high biomass and L-DOPA production. Callus was induced by supplementing various plant growth regulators like auxins (IAA, IBA, Picloram, NAA, 2,4-D), cytokinins (Kinetin, BAP, 2-iP and TDZ) and their combinations in different concentrations (0.1, 0.5, 1.0, 2.0, 5.0 and 10.0 mg/L). -
Role of Soft Skills Development Programme on Employable Skills of Management Students in Bengaluru
With the increase in technology access, the expectations of the employers while hiring the candidates has increased manifold. The newlinecandidates however do not possess the required skills as expected by the corporate professionals. The study, therefore, aims to understand the impact of an employable newlineskill training module based on experiential learning on the soft skill development of management postgraduate students. The study used a one-group pre-test post-test design. The study was based on the Experiential newlineLearning Theory (Kolb, 1984) and the Theory of Multiple Intelligences (Gardner, 1983). In order to find the essential skill sets that have to be possessed by management postgraduates a systematic review of literature of 243 included studies was conducted to understand the skill sets required by management postgraduates. newlineFrom the analysis, it was found that formal communication skills like oral communication, meeting participation, written communication could be effectively developed using the modules with a high effect on the skill newlinedevelopment. The modules were also found to have a significantly large effect on the problem-solving, persuasiveness, critical thinking and lateral thinking skills of the students. In addition to the above, the modules created a deeper understanding of the strengths, capabilities and the weaknesses of newlinethe participants and enabled them to communicate the same effectively thus newlinepreparing them for interviews and group discussions. The modules additionally enabled the participants to appropriately use gestures, tone and their voice in formal communication in a manner that can enhance the effectiveness of their communication. These skills were also found to be lacking in students according to the studies of Abas and Imam (2016); Andelt et al., (1997); Cotton (1993); Crosling and Ward (2002); Gandhi (2013); Hodges and Burchell (2003); Jackson (2009); Levy and Canon (2016) among newlineothers. -
Computer Vision Based Indian Sign Language Recognition Using Deep Learning
Speech is a human default and unique modality for language development and communication which is essential for memory and overall cognitive development. Excellency in language permits a child to be extrovert enriching the development of cognitive and psychosocial skills; whereas, for auditory deprived children, the misalignment of the brain and ear makes them impotent to communicate with the society which creates a central dogma that hearing-loss is a disability which further ignores their psycho-social identity. To fill such gaps and make their community more freewheeling in India, Indian Sign Language (ISL) - a complete language with its own linguistic and verbal elements was framed. Though ISL is appropriate and absolute in every linguistic approach, lack of prerequisite and proficiency enforces dedicated teachers to teach the curriculum through contrived signs for the sake of convenience that not only diminishes the distinctiveness of ISL but also dislodges the idea of learning their mother tongue. This creates an imbalance in the analogous learning of communication and curriculum language. In order to balance the level in learning, effective vision-based days of the week ISL model is developed through Convolution Neural Network (CNN) architecture which boasts independent learning of ISL. The proposed model comprises of six stages: dataset creation, preprocessing, splitting dataset into train, validation and test, applying various types of image augmentation techniques according to split, constructing CNN model for feature extraction and classification and finally evaluating the result through evaluation measures. Initially, an image dataset is created as there is a scarcity of standard ISL datasets in internet sources. The images are created on vision-based technique to avoid of carrying additional superfluous hardware gadgets for human computer interaction. -
Psychosocial Well-Being of Adolescents : A Social Group Work Intervention
Social work practice with children and families is one of the most challenging, skilled and rewarding areas of social work practice. Social workers believe that safeguarding children and preventing them from significant harm is a rewarding and challenging way to make a difference in the life of a child, which involves the corporation, consultation and collaboration of many people working effectively together. As highlighted by the United Nations' data disaggregation against the goal of "no one left behind," the absence of data on adolescents needs research on the "second decade." Furthermore, because India has the world's largest adolescent population, studies and policies aimed at developing adolescents' competencies are critical to the country's development; interventions aimed at instilling confidence in underprivileged adolescents to strive for a better future are critical for mitigating inequity. Adolescents from disadvantaged families and whose parents are no longer able to provide adequate care to children are having various psychosocial problems, high risk of violence, exploitation, abuse and neglect and their psychosocial well-being is often insufficiently monitored. This intervention study adopted a quasi-interventional design to measure the effectiveness of social group work in raising the psychological well-being, self-esteem and coping orientation of adolescents in child sponsorship programs. Social group work intervention with 20 sessions was designed in response to the information garnered through the pilot study and administered to the intervention group (n=20). Conducted pre-test and post-test for both intervention group and control group (n=20) and two follow up tests in three months intervals for the intervention group (n=20) using 42 item version of Ryffs scale for psychological well-being, Rosenbergs 10 item self-esteem scale and 54 items A-COPE scale; and data analyzed using SPSS. Comparison between pre and post measurements carried out using paired sample t-test for the intervention group and control group separately, gave out a p value < 0.05 for the intervention group and, > 0. 05 for the control group. Thus, it was proved that the psychological well-being, self-esteem and coping orientation of participants in the intervention group were raised significantly due to the social group work intervention. Applying refined granularity, this research adds data specifically on adolescents enrolled in child sponsorship programs and sets a blueprint for social group work to raise their psychological well-being, self-esteem and coping orientation. Proposing a conceptual framework for child sponsorship programs, this study recommends the need for operational tie-ups, sustained youth support, training of trainers (ToT) for community animators, preparing individual care plans and training to school social workers and the need of starting walk-in counselling centres and mentoring services. Furthermore, this study suggests additional research in all aspects of its operation, as well as interventions at the group, family, and community levels, for the well-being and empowerment of marginalised adolescents. -
Spectroscopic Studies and Theoretical Analysis of Some Selected Heterocycles
Seven derivatives of heterocycles benzimidazole, benzoxazole and benzothiazole were studied, five of which were synthesized and characterized. The molecular geometry and newlinespectroscopic data of the compounds in the ground state were calculated using the density functional theory (DFT/B3LYP) method with the 6-311++G(d,p) basis set. A comparison between the experimental and calculated data was attempted. Molecular electrostatic potential (MEP) and global reactivity parameters were deduced using theoretical calculations. HOMO-LUMO energy gap for each compound was determined by DFT and cyclic voltammetry. The cyclic voltammograms were recorded in acetonitrile solvent using lithium perchlorate as the supporting electrolyte. For all the compounds experimentally determined HOMO LUMO energy gap in polar solvent was lesser than that from DFT calculated energy gap. Using the HOMO-LUMO energy gap, global reactivity parameters were calculated. The effect of solvents of varying polarity on the absorption and emission spectra of the compounds was studied. Large excitation and emission energy differences were observed for all the selected heterocycles. The excitation and fluorescence spectra of selected heterocycles were recorded in eight solvents of different solvent polarity. It is evident from the excitation spectra that on increase of the solvent polarity, a bathochromic shift takes place for and#960;-and#960;* transition, and this is attributed to the high influence of solvent polarity in the excited state of heterocycle newlinecompared to its ground state. The dipole moments in the ground and the first excited state of heterocycle derivatives were newlinecalculated using Lippert-Mataga and Kawski-Chamma-Viallet methods. Guggenheim-Debye method was adopted to calculate ground state dipole moment. The dipole moments of the compounds were also calculated using Time Dependent-Density Functional Theory (TD-DFT). The dipole moment values of the compounds suggested that the excited state has more charge separation and thus becomes more polar. -
A comparison of distressed and non distressed married couples on marital quality emotional intelligence and conflict resolution styles
Aim: To compare and study the marital quality, emotional intelligence newlineand conflict resolution styles of distressed and non-distressed married couples; and to examine the interrelationships between these variables. Method: The study utilized a cross sectional, between group, mixed method research design. The sample consisted of 43 heterosexual married couples (N=86) in non-clinical settings, in the age range of 20-60 years, living in Bangalore, who met the inclusion and exclusion criteria, were newlinerecruited through purposive/ snowball sampling. The participants were administered a demographic data sheet, the Marital Quality Scale (Shah, 1995), the Emotional Intelligence Scale (Schutte, Malouff, Hall, newlineHaggerty, Cooper, and Golden, 1998), the Conflict Resolution Scale (Kurdek, 1994) and a Semi-structured Interview Schedule for qualitative data (prepared by the researcher). Quantitative and Qualitative analysis was carried out. The MQS cutoff score of 80 was used to divide the sample into distressed and nondistressed couples. newlineResults: The two groups significantly differed on the conflict resolution styles. A significant relationship was found between marital quality and conflict resolution styles of distressed as well as non distressed group. There was a significant positive relationship between withdrawal as a newlineconflict resolution style and marital quality among distressed wives. Correlations between marital quality and conflict resolution styles among non-distressed couples showed that withdrawal had a significant positive newlinerelationship with the marital quality of the husband. From the correlation between the emotional intelligence and conflict resolution styles of distressed couples, compliance had a significant positive relationship with the wife s emotional intelligence. Among non-distressed wives conflict engagement was negatively correlated and positive problem solving was positively correlated with their emotional intelligence. -
Study of single and two component convection in micropolar liquid
In this thesis, we study linear and non-linear analysis of RayleighBard and double diffusive convection in a micropolar liquid. The effect of non-uniform basic temperature gradient, non-uniform basic concentration gradient, temperature modulation at the boundary and gravity modulation are studied. newlineThe problem investigated in this thesis through a light on externally controlled internal convection in a micropolar liquid. The problems investigated in this thesis have possible application in geophysics, newlineastrophysics, oceanography engineering and in space situations with gjitter connected with gravity stimulation study. With this motivation, we investigate in this thesis four problems and their summary is given below one by one. (i) EFFECT OF GRAVITY MODULATION ON HEAT TRANSFER BY RAYLEIGH-BARD CONVECTION IN A MICROPOLAR LIQUID newlineThe vertical oscillation, or g-jitter or gravity modulation, is known to appear in the situation of the satellite. In the laboratory, Rayleigh-Bard system subjected to time-periodic vertical oscillations may be useful in regulating the onset of convection and heat transfer. This aspect is also in newlinefocus in the thesis. In this problem the effect of time-periodic body force or grtavity modulation on the onset of Rayleigh-Bard convection in a micropolar liquid is investigated. The linear and non-linear analyses are performed. The linear theory is based on normal mode analysis and perturbation method. The expression for correction Rayleigh number is obtained as a function of frequency of modulation and other micropolar liquid parameters. The non-linear analysis is based on the truncated Fourier series representation. The resulting non-autonomous Lorenzvii model is solved numerically to quantify the heat transport. It is observed that the gravity modulation leads to delayed convection and reduced heat newlinetransfer. (ii) LINEAR AND WEAKLY NON- LINEAR STABILITY ANALYSIS OF DOUBLE-DIFFUSIVE CONVECTION IN A MICROPOLAR LIQUID. -
Study of magnetoconvection with maxwell cattaneo law
This thesis deals with the study of Rayleigh-Bard-convection in a Newtonian fluid and micropolar fluid by replacing the classical Fourier law by non-classical Maxwell-Cattaneo heat flux law. The effects of second sound, non-uniform basic temperature gradients, suctioninjection-combination, temperature modulation and gravity modulation in newlinepresence of external constraints like magnetic field and rotation are studied. newlineThe problems investigated in this thesis throw light on externally controlled convection in Newtonian and micropolar fluids in the presence of Maxwell-Cattaneo law. The problems investigated in this thesis deal newlinewith practical problems with very large heat fluxes and/or short time duration. With this motivation, we investigate in this thesis five problems and their summary is given below. (i) Effects of Coriolis force and non-uniform basic temperature gradients on the onset of Rayleigh-Bard-Chandrasekhar newlineconvection with Maxwell-Cattaneo law The effect of non-uniform temperature gradient on RayleighBard-Chandrasekhar convection in a rotating Newtonian fluid with Maxwell-Cattaneo law is studied using the Galerkin technique. The eigenvalues is obtained for free-free, rigid-free and rigid-rigid velocity boundary combinations with isothermal and adiabatic boundaries. A linear stability analysis is performed. The influence of various parameters on the onset of convection has been analyzed. One linear and five non-linear temperature profiles are considered and their comparative influence on onset is discussed. It is found that the results are noteworthy at short times and the critical eigenvalues are less than the classical ones. It is shown that the system having magnetic field will delay in the onset newlineof instability. In general, it is observed that step function and inverted parabolic temperature profile are the most destabilizing and stabilizing profiles. -
Linear and non linear electroconvection in a micropolar fluid
This thesis presents a theoretical study of linear and non-linear analyses of Rayleigh Bard Marangoni/Rayleigh Bard electro newlineconvection in a micropolar fluid. The effects of non-uniform basic temperature gradient, suction injection combination and gravity newlinemodulation have been studied in the presence of electric field. The effect of heat transfer in a micropolar fluid in the presence of electric field is also studied and results are presented graphically and discussed qualitatively. These problems assume greater importance in geophysics, newlineastrophysics, oceanography, and engineering and in space situations with g-jitter connected with gravity stimulation study. newlineKeeping in mind the importance and relevance of externally controlled internal convection in a micropolar liquid. We deal with four newlineproblems, details of which are given below. newline(i) Effect of non uniform basic temperature gradient on the onset of Rayleigh Bard Marangoni electro convection in a micropolar fluid. The non-uniform temperature gradient finds its origin in the transient heating or cooling at the boundaries and as a result the basic temperature profile depends explicitly on position and time. This has to be determined by solving the coupled momentum and energy equations. This coupling also makes the problem very complicated. In the present study, therefore, we adopt a series of temperature profiles based on a newlinesimplification in the form of a quasi-static approximation that consists of freezing the temperature distribution at a given instant of time. In this method, we assume that the perturbation grows much faster than the newlineinitial state and hence freeze the initial state into some spatial distribution. newlineTherefore the effects of these non-uniform basic temperature gradient and electric field are studied on the onset of Rayleigh Bard Marangoni convection in micropolar fluid.