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ThesisItem Open Access Velocity and heat transfer CNTs-H2O Nanofluid flow(G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand), 2019-11) Gautam, Ajay Kumar; Manoj KumarRecent work deals with the problem pertinent to investigate the heat transfer and velocity of nanofluid flow over a bidirectional stretchable in the presence of several various physical parameters like non-linear thermal radiation, non-uniform heat source/sink, Ohmic heating and magnetic parameter. The effects of these parameters and governing factors in the boundary layer flow effects on the velocity and temperature profile, graphically it is represented as well as solved numerically and these numerical values are represented in the tabular form. In the study of this problem the dimensionless quantities such as rate of heat transfer (Nusselt number) and skin friction coefficient have been computed. The present thesis consists of five chapters. The first chapter contains the introduction part of various physical parameters, basic information of fluid mechanics and other various concepts. In chapter two, the review of some published researches has been concluded for the present study. Chapter three consists of numerical solutions of some physical parameters, governing equations and some appropriate transformations has been done. The whole methodology is used for solving the problem and getting description in detailed. And the presentation of numerical solution has been obtained in this chapter. Chapter four contains the results and discussion of the present problem. And in chapter five the problem is summarized, along with the phenomenon of finding the study which is included in the section literature cited. The present study can be helpful in the related field of applied scientific and different branch of engineering and applied mathematics.ThesisItem Open Access A study and analysis of Queue models and its applications in communication system(G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand), 2019-08) Agarwal, Rahul; Arun KumarScientists and researchers have been involved over the past few years in the rapid progress in the field of communication via wireless sensor networks. Most of the research on mathematical modeling pa wireless sensor networks has mostly focused on favorable aspects, such as data routing, sensor placement, reliability, etc. A significant amount of delay in study data is actually the effect of queue formation on nodes. It occurs in Therefore, the role of the discreet is very important in wireless sensor network modeling. In this thesis, we study the application of queues implemented in wireless sensor networks and provide insight to the current state of the art and guidelines for the future. The path arrangement is one of the important factors that influence data transmission and processing in wireless sensor networks. This thesis addresses this matter through a path delay examination. We have created a model of wireless sensor network using the open queue network principle and the path delays have been investigated based on the model.ThesisItem Open Access Fixed point theorems on complete intuitionistic fuzzy metric space under contractive and weakly compatible mapping(G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand), 2019-07) Sharma, Vaibhav; Sanjay KumarIn the present research work fixed point theorems due to Mellaini et al. (2019) and Hu et al. (2013) are proved in intuitionistic fuzzy metric space under contractive and weakly compatible mapping. The work is presented in five chapters. Chapter one focuses on the basic preliminaries and definitions related to metric spaces, fuzzy metric spaces, intuitionistic fuzzy metric spaces, contractive mapping, and fixed point. Chapter two presents a review of the literature which is studied during the proposed work. In chapter three definition of contractive mapping is extended into intuitionistic fuzzy metric space. Fixed point theorems due to Mellaini et al. (2019) and Hu et al. (2013) are proved in this chapter. In chapter four, the theorems proved are supported by few examples. A corollary related to the fixed point theorem under weakly compatible mapping is also drawn. Chapter five summarizes the work in brief along with the conclusions. The literature used in the course of the study has been referred under the section of literature cited.ThesisItem Open Access Behavior and mood prediction of human by signature and facial expression analysis(G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand), 2019-06) Punetha, Neha; Pal, A.K.Present work entitled “BEHAVIOR AND MOOD PREDICTION OF HUMAN BY SIGNATURE AND FACIAL EXPRESSION ANALYSIS” treated the issue of developing a system which generates future values and personality and mood prediction system based on signature and facial expression analysis of human. First need is to train the network and then the network will give a result. The presented study consist of five chapters, the first chapter is directed to justify the elementary need of introducing Artificial Neural Network, Pattern Recognition, Facial Expression Recognition, and Signature Analysis the use of the neural network in behavior prediction. Chapter two comprise the majority of passed research work linked with present work. Chapter three consists of the material and methods used for the existing study. We have presented the neural network for the behavior prediction and simulated it in MATLAB software. Chapter four refers to the results and discussion of the study taken in chapter three. The work has been summarized in chapter five. Along with the study, and the literature used in the course of the study has been referred under the section of literature mentioned. The associated study may be helpful for the personality and mood prediction of human.ThesisItem Open Access Reliability modelling of replaceable interconnection networks using interval valued universal generating function(G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand), 2019-07) Khati, Amisha; Singh, S.B.In this research work, authoress has developed two different models which are given as: 1. Reliability assessment of replaceable shuffle exchange network (SEN) by using interval valued universal generating function. 2. Reliability assessment of replaceable shuffle exchange network (SEN+) applying interval valued universal generating function. In both the models, we have assumed that the networks are having uncertainties and the failed components of both the networks can be replaced unlike done in the past. The reliability assessment of both networks was done by using the method of IUGF. In the first model, an 8×8 replaceable SEN possessing different uncertainties was considered. The reliability block diagram of the terminal, broadcast and network reliability of SEN was presented. In order to overcome the uncertainties, probabilities bounds have to be used which were evaluated by using supplementary variable technique and Laplace transform. The bounds of the three reliabilities of the SEN were computed along with their MTTF bounds. In the second model, we have considered an 8×8 replaceable SEN+ having uncertainties. The reliability block diagram of the terminal, broadcast and network reliability of the considered SEN+ was presented and its modelling corresponding to each reliability measure was done by applying supplementary variable technique to it. Then by employing Laplace transform, various probability bounds were evaluated and subsequentially the reliability bounds and their MTTF bounds were computed.ThesisItem Open Access Study of simultaneous occurrence of probabilistic and non-probabilistic uncertainties in time series forecasting(G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand), 2019-01) Gupta, Krishna Kumar; Sanjay KumarStatistical techniques based conventional time series forecasting models are capable to deal probabilistic uncertainty that is caused by randomness. Fuzzy time series forecasting models can handle the non-probabilistic uncertainty that arises due to vagueness and linguistic representation of time series data. Both probabilistic and non-probabilistic uncertainties arise in time series forecasting but neither probability theory nor fuzzy set theory handles these both types of uncertainty simultaneously. Probabilistic fuzzy set includes prominent characteristics of both fuzzy and probability theory and hence is used to model both uncertainties simultaneously in a single framework. In this research work, probabilistic fuzzy set, probabilistic intuitionistic fuzzy set, hesitant probabilistic fuzzy sets and intuitionistic fuzzy random variables are used to develop six time series forecasting methods to include both kinds of uncertainties and non-determinism. These methods are presented in forms of models. Model-1, Model-2 and Model-3 are based on probabilistic fuzzy set that use probabilistic fuzzy logical relations of different orders and different schemes to partition time series data. Model-4 is was probabilistic intuitionistic fuzzy set based time series forecasting model that includes both types of uncertainties and non-determinism. Model-5 is based on hesitant probabilistic fuzzy set that also includes both types of uncertainties and non-determinism. Model-5 also includes a particular type of non-determinism that arises due to multiple fuzzification of time series data. Model-6 uses intuitionistic fuzzy random variable and handles both types of uncertainties. While Models [1-5] handles non-probabilistic uncertainties associated with membership grades or non-memberships grades, this model includes probabilistic uncertainty due to randomness of time series data. Models [1-6] are implemented to forecast time series data of University of Alabama enrolments, SBI share prices and TAIEX to show their outperformance over others forecasting methods. Performance of the models has been analyzed in terms of RMSE, AFER. Validity, robustness of the models against variations in time series data is also tested using evaluation parameter, performance parameter, tracking signal and statistical test (t-test and Wilcoxon signed rank test) in time series data.ThesisItem Open Access Reliability indices and signature analysis of complex networks(G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand), 2018-08) Bisht, Soni; Singh, S.B.The present research is based on the development of reliability models with the application of UGF, Supplementary variable technique, ANN, and Signature. In this study, six different reliability models have been developed. Model 1 generates an efficient algorithm to compute the reliability indices of complex bridge networks having i.i.d. lifetime components (nodes, edges), with the help of UGF and Owen’s method. Applying reliability structure function, proposed algorithms are used to find the signature and the MTTF. Model 2 assess the reliability characteristics of bridge network and square ladder network on the basis of the flow of information/signals from a source node to a sink node using the universal generating function. The main focus of this model is to estimate the reliability indices, namely, reliability, MTTF, sensitivity assuming failure to be exponentially distributed. Furthermore, for computing the signature of networks with the help of Owens method we have assumed that all components are independent and have identically distributed. Model 3 deals with the reliability and signature analysis of one of the most common multistage interconnection networks, namely, Shuffle exchange networks (SENs).An efficient algorithm has been established to compute the signature and Mean-time-to-failure of shuffle exchange networks with the help of Owen’s method incorporating independent and identically distributed lifetime component. All perspectives of the reliability, viz. terminal, broadcast and network reliability have been analyzed with the help of universal generating function. Model 4 estimates the reliability of Benes network having both independent and identically and non-identically distributed components in three contexts, viz. terminal, broadcast, and network with the help of universal generating function. Subsequently, the signature is computed with the help of Owen’s method using different algorithms. At last, we have computed the mean time to failure with the help of minimal signature. Model 5 focuses on the reliability indices and signature evaluation of all-digital protection system. In this model, firstly, we have computed the reliability of all-digital protection systems using a universal generating function having both independent and identically and non-identically distributed components. Afterwards, the signature is evaluated with the help of Owen’s method using different algorithms where all the system components are coherent. Lastly, we have calculated the mean time to failure with the help of minimal signature. Model 6 [Section 1] introduces the concept of the acyclic transmission network in which numbers of nodes are capable of receiving or sending a signal to the target nodes. The model combined the concepts of Markov processes and minimal cuts incorporating copula to find the various reliability measures. Various reliability characteristics such as transition state probabilities, reliability, MTTF and sensitivity of the proposed network has been evaluated with the help of minimal cuts coupling with Markov processes using Gumbel-Hougaard copula, supplementary variable techniques and Laplace transforms. [Section 2] studies the reliability and profit function of acyclic transmission network with the application of Markov process and artificial neural network. After determining the reliability by Markov process, it is improved with the help of the artificial neural network. All the presented models are demonstrated by appropriate illustrative examples.ThesisItem Open Access A study of some nanofluid flow and heat transfer over different geometries(G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand), 2019-01) Mishra, Ashish; Manoj KumarThe present study is subjected to heat and mass transfer characteristics of nanofluid flow over different geometries. The nanofluid flow saturated in different solid objects, such as cone, stretching cylinder, Riga plate, channel, stretching surfaces, etc., are commonly used in many fields of engineering and manufacturing procedures. The involvement of various physical factors, such as magnetic field, thermal radiation, suction/injection, porous medium, slip effects, chemical reaction, heat generation/absorption, Joule heating, viscous dissipation, volume fraction of different nanoparticles (copper and silver), Brownian motion and thermophoresis effects in nanofluid flow have been discussed. The influences of these parameters are plotted and discussed to examine the variations in velocity profiles, temperature and concentration distributions. Moreover, the factors of engineering interest, such as skin friction coefficient, Nusselt and Sherwood numbers are studied and discussed in details. The introduction section is filled with the essential notions and definitions related to fluid mechanics. The group of similarity transformations has been utilized to convert the principle equations into non-dimensional set and the Runge-Kutta-Fehlberg method of fourth-fifth order along with shooting technique is used to solve them with the help of computing tools. For validation of present numerical codes, we have compared our results with previously published works. The outcome involving to the related work may be helpful to explore various aspects of nanofluid flow problems over other objects. The obtained results have huge significances in different fields of applied science and different branches of engineering and applied mathematics.ThesisItem Open Access A study of some micro-polar fluid flow problems(G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand), 2018-12) Singh, Khilap; Manoj KumarIn the recent decades, the importance of non-Newtonian fluids has significantly increased because of their relation with applied sciences. The flow of these fluids takes vital role not only in hypothesis but also in several industrial processes. Among the various non-Newtonian fluids, the micro-polar fluids have achieve the special attention in recent years due to their applications in biotechnology, chemical engineering, geophysics, materials processing and polymeric fabrication and so on. Micro-polar fluids correspond to the many industrial important fluids for example, bio-fluids, body fluids, colloidal suspensions, human and animal blood, lubricants, polymers, liquid crystals, paints etc. Because of wide range of utilizations of these fluids present work is done to examine the impact of different parameters on the flow behaviors of micro-polar fluid. In the present work, author has studied different problems of micro-polar fluid flow in various shaped bodies. The governing equations of flows of micro-polar fluid are non-linear in nature and solved by using both analytical and numerical methods. Different numerical methods for example Finite element method, Finite difference method, Quasilinearization, Keller-box method, Runge-Kutta-Fehlberg fourth fifth order method and Shooting method etc. can be applied for handling these problems. In the present thesis author has used Keller-box method, Runge-Kutta-Fehlberg fourth fifth order method, shooting method together with an analytic method known as differential transformation method. The work incorporated in the present research is divided into five chapters. Author has formulated eight problems out of which seven are for steady flow and one is for unsteady flow. One problem is solved by applying differential transformation method, two problems are solved by applying Keller box method, while six problems are solved by applying shooting technique along with Runge-Kutta-Fehlberg fourth fifth order method. To approve of results obtained from all these problems with particular conditions, author compare results with results of previously published literature. Excellent agreement between the results is obtained. The impact of various pertinent parameters on velocity, micro-rotation, temperature and concentration profiles is studied comprehensively and is portrayed graphically. The skin-friction coefficient, the couple stress coefficient, the Nusselt and Sherwood numbers have also been computed and depicted using graphs and tables. It is hoped that the results obtained from the present study will give important data to group of audience.