Department of Mathematics

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Mathematics

Liver transplantation is done widely across the world. Every year, many people are waiting for a donor liver. Depending on the blood group and MELD score, the priority is given to the waiting patients. Here, we have presented the quasi birth death process of the liver transplantation model and analysis of its parameters are done using simulation technique. Simulation results are presented for different values of the threshold.

World University root node

School of Advanced Sciences

Chennai Campus

International Journal of Innovative Technology and Exploring Engineering Regular Issue

Simulation Analysis of a Liver Transplantation Queueing System

Parallelism is a process by which a sequential string is broken down into a number of alphabets and used to speed up the acceptance of a string. To identify the parallelisable string, we have used parallel operator || and defined the language as parallel series languages. Algebraic and recognition properties of series parallel posets have been studied by Lodaya in [8]. In this paper, we have introduced finite and infinite parallel series language (parallel strings are connected sequentially). We have considered the set of all parallel series language as topological space and prefix order relation (poset relation) has been used to relate two parallel series strings. Topological concepts like limit, sequence, open set, closed set and basis for parallel series languages and their properties have been derived. © BEIESP.

International Journal of Recent Technology and Engineering 2

Topological Properties of Parallel Series Language

In this article, Adomian decomposition method have been applied for getting analytical approximate solutions of time-fractional nonlinear coupled Boussinesq-Burgers equations. The solutions are compared with the exact solution at α = 1 for different values of x and t. © 2019 Author(s).

Department of Computer Applications

School of Information Technology and Engineering

Vellore Campus

AIP Conference Proceedings

Solving time-fractional nonlinear coupled Boussinesq-Burgers equations arise in propagation of shallow water waves using adomian decomposition method

Influence of nanoparticle volume concentration and proportion on heat transfer performance (HTP) of Al2O3 – Cu/water hybrid nanofluid in a single pass shell and tube heat exchanger is analyzed. Multiphase mixture model is adopted to model the flow. Three-dimensional governing equations and associated boundary conditions are solved using finite volume method. The numerical results are validated with the experimental results. Results indicate that optimized nanoparticle volume concentration and proportion dominate HTP of hybrid nanofluid. Heat transfer coefficient and Nusselt number are monotonic increase functions of nanoparticle volume concentration and proportion. The percentage increase in heat transfer coefficient of hybrid nanofluid is 139% than water and 25% than Cu/water nanofluid. At higher Reynolds number, the increment in Number of Transfer Units (NTU) between water and hybrid nanofluid is close to 75%. Maximum enhancement in Nusselt number for hybrid nanofluid exceeds 90% when compared to nanofluid (Al2O3/Water nanofluid). Consequently, highest heat transfer performance is attained for hybrid nanofluid systems. Effectiveness of heat exchanger increases almost to 124% when hybrid nanofluid is employed. We show that it is higher than water as well (conventional coolant). Results are expected to be helpful in further industrial-scale deployment of nanofluids, which is an area that is currently relevant for ongoing academia-industry partnership efforts worldwide. © 2019 Society of Powder Technology Japan

Advanced Powder Technology

What dominates heat transfer performance of hybrid nanofluid in single pass shell and tube heat exchanger?

Existing methods, such as Discrete Integration Algorithm (DIA) or Multiple DIA (MDIA) for evaluating Boltzmann integral to assess the nonlinear energy transfer within a given energy spectrum at a given location, do not account for all the contributing wave resonating quadruplets (QPs) for want of computational ease in the wave models such as WAM and WWIII. By virtue of employing the state-of-the-art Gauss–Legendre Quadrature Method (GLQM), the transfer integral becomes free of singularities, and fast estimation of all the contributing QPs is possible; and hence, this method provides both accuracy and efficiency. It also works for different frequency and angular resolutions of the input spectral grid. In this paper, GLQMis validated with EXACT-NL and WRT methods for a theoretical spectrum. It is then applied to a measured spectrum of a moored buoy of National Institute of Ocean Technology, off Machilipattinam (DS5) in deep waters for evaluating the nonlinear QP interactions based on one-month data during July 2005. A characteristic monthly averaged 1D frequency spectrum has been chosen which represented a double-peaked sea-dominated spectrum. It is then fitted with a theoretical JONSWAP spectrum with 99.5% confidence. The nonlinear energy transfer rate (Snl) between the higher and lower frequencies of this fitted spectrum has been evaluated using GLQM and are quantified. The nonlinear coupling between the sea and swell parts is found to be absent as the ratio of the swell and sea frequencies is less than 0.6 (Masson in J Phys Oceanogr 23:1249–1258, 1993 [1]). Few hypothetical cases have been studied to understand Snl behaviour further. © Springer Nature Singapore Pte Ltd. 2019.

Department of Software and Systems Engineering

Lecture Notes in Civil Engineering Proceedings of the Fourth International Conference in Ocean Engineering (ICOE2018)

Assessment of Nonlinear Quadruplet Interactions for Measured Spectra in Deep Waters on the East Coast of India Through Gauss–Legendre Quadrature Method

Type-2 Diabetes mellitus is one of the most alarming diseases in both developed and developing countries. The WHO predicted that 90% of people around the globe will suffer from T2DM (WHO, 2016). Most of the people are living in India without knowing that they are affected with T2DM. So, the undiagnosed T2DM leads to the complication in heart, kidney disease, eye and feet. Even though Type 2 diabetes has many risk factors associated to it, lifestyle changes play a vital role in triggering the Type 2 diabetes. Hence, the objective of the present study is to analyze and identify the most influencing risk factors of T2DM. Determining the most influencing risk factor of T2DM is not an easy task as there are lot of complexity and uncertainty involved in it. To tackle this issue, a novel decision making system is designed by combining the salient features of The Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) and Fuzzy Cognitive Map (FCM). Eight risk factors are chosen as the input variables for the system. The proposed system elucidates that Blindness, Obesity, Physical Inactivity are the most influencing factors for the type 2 diabetes mellitus. © 2019 Author(s).

VIT Unitversity

Fulltext

THE 11TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS

Soft computing decision making system to analyze the risk factors of T2DM

A set S of vertices in a graph G is called a dominating set of G if every vertex in V (G)∖S is adjacent to some vertex in S. A set S is said to be a power dominating set of G if every vertex in the system is monitored by the set S following a set of rules for power system monitoring. The power domination number of G is the minimum cardinality of a power dominating set of G. In this paper, we obtain the power domination number for triangular graphs, pyrene networks, circum-pyrene networks, circum-trizene networks, generalized honeycomb torus and honeycomb rectangular torus. © Springer Nature Switzerland AG 2019.

Trends in Mathematics

Power domination parameters in honeycomb-like networks

International Journal of Computer Aided Engineering and Technology

Implementation of optimal scheduling model for power flow system

In this modern era, Economic Load Dispatch (ELD) is one of the essential issues of apprehension in power system process and scheduling. The cost function for each unit in ELD problems is resolved by using mathematical or analytical methods in conservative computation. So, the certain ELD problem is signified as a non linear optimization problem having both equality and inequality constraint that cannot be directly solved by conservative analytical techniques. Subsequently, in order to solve this ELD problems evolution of soft computing methods and many other prominent approaches have been successfully implemented such as numerical method, genetic algorithm, evolutionary programming, neural network tactics, particle swarm optimization and some other hybrid methods. Here Ramp Rate constriction facor based PSO algorithm and Electro magnetism based PSO algorithm are proposed and applied for solving ELD problem in this paper. These two PSO techniques are employed in the form of Transmission line losses, valve point loading effect, ramp rate limits and prohibited zones constraints were used to make the results of ELD problem as reasonably approximate as possible in the comparative analysis form. The comparison results which are obtained from RRCPSO and EMPSO are compared with to other heuristic methods like Genetic algorithm (GA) & Taboo search (GATS) method, Artificial intelligence (AI) method, Bacterial Foraging Optimization (BFO) method, Dance Bee Colony Optimization (DBCO) method etc. © 2019 IEEE.

Proceedings - 2019 International Conference on Applied Machine Learning, ICAML 2019

Comparative optimization analysis of ramp rate constriction factor based PSO and electro magnetism based PSO for economic load dispatch in electric power system

Chronic Obstructive Pulmonary Disease (COPD) is considered as one of the greatest life-threatening syndromes worldwide, and it is estimated that over 600 million are afflicted with the disease. The objective of this study is to design and develop a spirometer which is functionally as well as cost effective. Authors have planned to keep the cost below 100$. The proposed spirometer has four main components – spirometer body, Circuitry, Computer and Software. The spirometer body includes a differential pressure sensor and a pilot tube through which the patient blows. The output is transmitted to the microcontroller. The analog to digital convertor within the microcontroller is employed for the conversion. Then the pressure difference output from the pressure sensor is converted into mass flow rate which is subsequently converted into volume. The microcontroller relays this data via a Universal Serial Bus (USB) connection to a computer which transmits this to the JavaScript based graphical user interface. This interface is used to display the flow and volume data in real-time. Then this experiment has proceeded further with this study by testing it on people. A spirometric test was conducted on 20 individuals of different ages, heights and gender. Their test results were tabulated and inferences on their breathing condition were drawn accordingly. The results show that lung capacity decreases with age. Although the current design is not able to meet clinical accuracy, with professional manufacturing, such a design could yield a device capable of meeting clinical accuracy without a significant increase in price. © BEIESP.