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

Internet connectivity is now considered to be a basic human right and in this era of information technology, more efficient ways of browsing the web are being found. The most popular search engine, Google uses its ‘Page Rank Algorithm’ for its searches. In this paper, we aim to find out a more efficient way of searching the web and better organising the search result based on the categories of the pages. The results of the proposed algorithm are compared with the existing Page Rank algorithms, which include the original PageRank Algorithm and a Weighted PageRank Algorithm. The results obtained in this paper have been experimentally compared with the data of the above-mentioned algorithms using comparison graphs. © 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

World University root node

Mathematics

School of Advanced Sciences

Chennai Campus

Wireless Networks

Study and analysis of category based PageRank method

Objective: The objective of the current study is to deal with magnetohydrodynamic (MHD) nanoliquid flow over moving vertical plate with variable Prandtl numbers and viscosities. This analysis also includes the influence of thermal radiation. Quite significant variation in viscosity and Prandtl number in high-range temperature is observed. Thus, Prandtl number and viscosity are surmised to vary as an inversely proportional linear function of temperature. Problem definition: The MHD nanoliquid flow is considered along with the semi-infinite plate with the velocity Uw toward the x-direction, which is also the direction for free-stream velocity (Formula presented.). The geometrical sketch of the physical problem with the coordinate system is shown in Figure 1. The coordinate system has two coordinate axes: the (Formula presented.) -coordinate (x) and (Formula presented.) -coordinate (y). They are perpendicular to each other. The mathematical modeling of physical problem has been formulated by incorporating viscous terms into the governing equation related to thermal radiation, buoyant force, Brownian motion, thermophoresis, and magnetic parameter. Methodology: The mathematical modeling of current physical problem consists of highly nonlinear partial differential equations which have been solved numerically using quasilinearization technique along with finite difference method. The present outcome during numerical simulation is outlined in terms of velocity, temperature, and concentration profiles and they are analyzed with suitable physical reasons. Main results: The impact of various parameters on the velocity, temperature, and concentration profiles has been discussed with physical explanation. Velocity profile (Formula presented.) of the fluid enhances and concentration (Formula presented.) reduces with escalating buoyancy parameter (Formula presented.). In particular, 13% increment in velocity profile is observed as (Formula presented.) increases by 0.9 scale [(Formula presented.)], whereas 17% reduction in concentration profiles is noticed as (Formula presented.) increases by 0.5 scale [(Formula presented.)] at other fixed parameters. It is observed that magnetic parameter (Formula presented.) increases the temperature (Formula presented.) and concentration profiles (Formula presented.), whereas it works as deduction parameter for velocity profile (Formula presented.). The increasing value of thermophoresis (Formula presented.) and Lewis number (Formula presented.) works as catalyst for velocity, temperature, and concentration profiles. As thermophoresis (Formula presented.) increases from 0.5 to 2.0, temperature profile approximately increases 65% at other fixed parameters. As Lewis number (Formula presented.) increases from 0.5 to 4.0, then the temperature increases approximately 75% at other fixed parameters. © 2020 Wiley Periodicals LLC

Heat Transfer

MHD nanofluid flow with variable physical parameters via thermal radiation: A numerical study

Consideration is given to the problem of steady axisymmetric creeping flow of a micropolar fluid around the spherical drop of non-Newtonian liquid shell covered with permeable medium. The field equations of micropolar fluids are presented in terms of velocity vector and microrotation vector. External liquid permeates into the porous layer, but it is not mixed with the liquid located in the internal cavity of a capsule. The flow inside the permeable medium is described by the Brinkman equation. The stream function solution for the external flow field is derived in terms of modified Bessel's function and Gegenbauer's polynomial. The solution is determined by dilating the stream function in terms of the dimensionless parameter S for the internal flow field (Reiner-Rivlin liquid sphere). Analytical expressions for the pressure field, coupling number, microrotation component, viscosity ratio, permeability parameter, and drag force are calculated. The effect of various parameters on the drag force is presented graphically and discussed. It is observed that the drag on a micropolar fluid sphere is more than that on a permeable sphere. Different limiting cases are also considered. © 2020 by Begell House, Inc.

Journal of Porous Media

Drag on a reiner-rivlin liquid sphere embedded in a porous region placed in a micropolar fluid

Abstract: Flow around a Reiner–Rivlin non-Newtonian liquid particle, which is surrounded with a Newtonian liquid shell and placed into a permeable medium, is studied. This formulation of the problem is typical for, e.g., studying the motion of an oil droplet surrounded with an aqueous medium (oil-in-water emulsion) in a porous collector under the action of an external pressure drop. An analogous problem is encountered when lymph penetrates into human or animal tissues. The flows inside of the permeable layer, in the region between the Reiner–Rivlin liquid and a porous medium, and inside of the spherical region are described by the Brinkman, Stokes, and Reiner–Rivlin equations, respectively. The general solution for the stream function in the external porous region is written in terms of the modified Bessel function and Gegenbauer polynomials. For the Reiner–Rivlin liquid sphere, the solution is found by expanding the stream function into a power series in terms of small dimensionless parameter S. The boundary problem is solved by conjugating the boundary conditions for all regions. The drag force applied to the Reiner–Rivlin liquid particle placed into the permeable medium is determined. The effects of permeability parameter α, viscosity ratio λ, and dimensionless parameter S on the drag coefficient are studied. Corresponding dependences are represented graphically and discussed. Known particular cases are described using passages to the limits. © 2020, Pleiades Publishing, Ltd.

Colloid Journal

Flow around a Liquid Sphere Filled with a Non-Newtonian Liquid and Placed into a Porous Medium

The steady axisymmetric uniform flow of an incompressible micropolar fluid past a porous sphere embedded in another porous medium has been studied analytically. The stream function solution for both the inner and outer flow field is acquired by using the Brinkman equation. Explicit expressions are determined for both the flow fields by taking the appropriate boundary conditions across the surface of the porous sphere. Furthermore, the non-dimensional drag experienced by a porous sphere embedded in another porous medium of micropolar fluid is calculated. Effects of drag force and shearing stress on permeability parameter, the viscosity ratio for the porous sphere is presented graphically and numerically. Some special cases of flow past a porous sphere have been validated with earlier well-known cases. © 2020 by Begell House, Inc.

Special Topics and Reviews in Porous Media

Flow of micropolar fluid past a porous sphere embedded in another porous medium

Boundary layer flow phenomenons on a stretching sheet find numerous applications in industrial processes such as manufacture and extraction of rubber and polymer sheets. The current study focuses on two-dimensional water boundary layer flow on exponential stretching surface with a vertical plate for variable physical properties of fluid such as viscosity and Prandtl number. The Quasilinearization technique has been used on governing equations to transform nonlinear to linear equations and these equations are discretized by finite difference techniques to get numerical solutions. The effect of buoyancy parameters (λ), velocity ratio parameter (ε) and streamwise coordinator (ξ) on velocity profiles (F), temperature profiles (θ), local skin-friction coefficient (Cfx(ReLξexp(ξ))1/2) and the local Nusselt number (Nux(ReLξexp(ξ))−1/2) has been analyzed graphically based on numerical outcome. The magnitude of velocity profiles (F) increases and temperature profile decreases approximately by 4% and 16% with increases the buoyancy parameter from λ = 1 to λ = 3 at = 0.5 and ξ = 1.0. The skinfriction and heat transfer coefficient increases approximately by 22% and 27% with an increase in ξ from 0.5 to 1.0 at fixed ε = 0.5 and λ = 1.0. The variations of velocity profiles and temperature profiles have more impact with ε as compared to ξ and λ. The benchmark studies were carried out to validate the current results with previously published work and found to be in excellent agreement. © 2019 Wiley Periodicals, Inc.

Department of Mathematics

VIT Unitversity

Heat Transfer - Asian Research

Analysis of a boundary layer flow over moving an exponentially stretching surface with variable viscosity and Prandtl number

This article explores the micropolar fluid flow past a fluid sphere enclosing a solid core which is embedded in a porous medium. Flow fields of the porous region and nonporous region are governed by Brinkman equation and Stokes equation, respectively. Explicit expressions for stream functions, velocities, and microrotation components are examined. The drag force accomplished by a fluid sphere placed inside the porous medium is evaluated. The drag coefficient and its dependence are analyzed numerically and graphically with variation of permeability parameter and viscosity ratio. Some well-known results are validated with past known cases. © 2019 by Begell House, Inc.

International Journal of Fluid Mechanics Research

DRAG ON A FLUID SPHERE EMBEDDED IN A POROUS MEDIUM WITH SOLID CORE

The Scope of this paper works is to study, steady incompressible non-similar two dimensional boundary layer over a stretching surface with temperature dependent viscosity and PRANDTL number. The coupled partial differential equations with boundary conditions have been solved numerically using an implicit finite difference with combination of quasi-linearization technique with suitable step size along the stream- wise direction. The numerical results are displayed for velocity and temperature profiles with different parameter values. Further, it was found that the buoyancy parameter is more significant for water boundary flow. © 2018, Institute of Advanced Scientific Research, Inc. All rights reserved.

Physics

Journal of Advanced Research in Dynamical and Control Systems

The effects of buoyancy force of fluid flow over a water boundary layer with variable viscosity and PRANDTL number

Gender identification is one of the major problem speech analysis today. Tracing the gender from acoustic data i.e., pitch, median, frequency etc. Machine learning gives promising results for classification problem in all the research domains. There are several performance metrics to evaluate algorithms of an area. Our Comparative model algorithm for evaluating 5 different machine learning algorithms based on eight different metrics in gender classification from acoustic data. Agenda is to identify gender, with five different algorithms: Linear Discriminant Analysis (LDA), K-Nearest Neighbour (KNN), Classification and Regression Trees (CART), Random Forest (RF), and Support Vector Machine (SVM) on basis of eight different metrics. The main parameter in evaluating any algorithms is its performance. Misclassification rate must be less in classification problems, which says that the accuracy rate must be high. Location and gender of the person have become very crucial in economic markets in the form of AdSense. Here with this comparative model algorithm, we are trying to assess the different ML algorithms and find the best fit for gender classification of acoustic data. © Published under licence by IOP Publishing Ltd.

Department of Software Systems

School of Computer Science and Engineering

Vellore Campus

Fulltext

IOP Conference Series: Materials Science and Engineering

Voice based gender classification using machine learning

The present study deals creeping flow of a micropolar fluid past a sphere coated with thin fluid film. On fluid-film interface we used non-zero spin boundary condition for the micro-rotation vector. Thevariation of drag force with respect to different parameters is studied and some previous results deduced from present analysis.

Indian Journal of Science and Technology

Micropolar Fluid Past a Sphere Coated with a Thin Fluid Film

Abstract: This paper concerns the problem of creeping flow of an incompressible micropolar fluid past a fluid sphere with non-homogeneous boundary condition for micro rotation vector i.e. the micro rotation on the boundary of the fluid sphere is assumed to be proportional to the rotation rate of the velocity field on the boundary. The stream functions are determined by matching the solution of micropolar field equation for flow outside the fluid sphere with that of the Stokes equation for the flow inside the fluid sphere. The drag force experienced by a fluid sphere is evaluated and its variation is studied with respect to the material parameters. Some well-known results are then deduced.