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

Department of Mathematics

The motivation behind this article is to explore the impacts of heat transfer, magnetohydrodynamic, and hall current on two-dimensional incompressible nanofluid flow over a rotating disk. The nanofluid model utilized in the present investigation comprises the nanoparticle fraction model. Two sorts of nanoparticles to be specific Hematite (Fe2O3) is the principal source of iron and Cobalt alloy (Co64 Cr30 W6) is generally used metal alloy that is primarily Cobalt and Chromium with base fluid Motor Oil 10W30 is taken into consideration. The Prandtl number identifying with motor oil is (Pr = 1531.92). The governing equations are reduced to a system of ordinary differential equations by using Von-Karman transformation and then solved numerically utilizing matlab bvp4c. Impacts of the magnetic field, hall current, and nanoparticle volume fraction on tangential, radial velocities, and temperature profiles have been examined. Numerical outcomes have been acquired for various physical parameters through graphical representation. We have demonstrated that a remarkable reconciliation exists among the current outcomes and those in the literature for various values of magnetic parameter and velocity slip parameters, in the absence of other parameters. It is also found that radial and tangential velocities increase more in the case of Fe2O3 nanoparticles when compared with Co64 Cr30 W6 because of density variations. It is discovered that enhancement in a nanoparticle volume fraction reduces the heat transfer rate. It can moreover be clarified such a way that as the nanoparticle volume fraction raise, the density of nanoparticles increases, temperature also increases subsequently heat transfer rate decreases. This result keeps more cooling for the hard disk drives and might be intrigued for engineers. © 2020 Georg Thieme Verlag. All rights reserved.

World University root node

School of Advanced Sciences

Vellore Campus

Journal of Thermal Science and Engineering Applications

Magnetohydrodynamic and Heat Transfer Impacts on Ferrofluid over a Rotating Disk: An Application to Hard Disk Drives

We introduce a model that precisely accounts the flow of fluid of Casson nanofluid over a stretched surface with activation energy and analyze entropy generation. The model is an attempt to investigate heat transfer and entropy generation in the laminar boundary layer near a stagnation point. The modified Arrhenius function for activation energy is used. Here, the flow of the fluid is subjected to nonlinear thermal radiation, viscous disipation, binary chemical reaction, and external magnetic field. The coupled nonlinear system is further validated using the spectral lineralization method. The method is found to be accurate and convergent. The results show that the Reynolds number and Casson parameter have a significant effect in entropy generation. © 2021 Wiley Periodicals LLC

Heat Transfer

Entropy generation in Casson nanofluid flow over a surface with nonlinear thermal radiation and binary chemical reaction

In this manuscript, we establish two Wardowski–Feng–Liu-type fixed point theorems for orbitally lower semicontinuous functions defined in orbitally complete b-metric spaces. The obtained results generalize and improve several existing theorems in the literature. Moreover, the findings are justified by suitable nontrivial examples. Further, we also discuss ordered version of the obtained results. Finally, an application is presented by using the concept of fractal involving a certain kind of fractal integral equations. An illustrative example is presented to substantiate the applicability of the obtained result in reducing the energy of an antenna. © 2021 Authors. Published by Vilnius University Press.

Fulltext

Nonlinear Analysis: Modelling and Control

Feng–liu-type fixed point result in orbital b-metric spaces and application to fractal integral equation∗

The aim of this paper is to define a new iteration scheme Nv1 which converges to a fixed point faster than some previously existing methods such as Picard, Mann, Ishikawa, Noor, SP, CR, S, Picard-S, Garodia, K and K∗ methods etc. The effectiveness and efficiency of our algorithm is confirmed by numerical example and some strong convergence, weak convergence, T-stability and data dependence results for contraction mapping are also proven. Moreover, it is shown that differential equation with retarted argument is solved using Nv1 iteration process. © 2020 EJPAM. All rights reserved.

European Journal of Pure and Applied Mathematics

Solution of delay differential equation via Nv1iteration algorithm

An r-dynamic proper k-coloring of a graph G is a proper k-coloring of G such that every vertex in V (G) has neighbors in atleast min {r, d(v)} different color classes. The r-dynamic chromatic number of a graph G is the minimum k such that G has an r-dynamic coloring with k colors. In this paper we investigate the r-dynamic chromatic number for the Central graph, Middle graph, Total graph and Line graph of Double star graph. © Palestine Polytechnic University-PPU 2021.

Palestine Journal of Mathematics

On r-dynamic coloring of double star graph families

Sahand Communications in Mathematical Analysis

A Generalized Class of Univalent Harmonic Functions Associated with a Multiplier Transformation

Montes Taurus J. Pure Appl. Math

Fekete-Szego Inequalities for Certain Subclasses of Analytic Functions Related with Leaf-Like Domain

Montes Taurus Journal of Pure and Applied Mathematics

Fekete-Szeg{\"o} Problems for the k th Root Transform of Subclasses of Starlike and Convex Functions with Respect to Symmetric Points

In this modern era, where most of the world is connected on the World Wide Web, privacy and security are major concerns for the people. Passwords are used by the public to maintain a level of security in their private lives. Passwords can be of two types—static and dynamic. Existing dynamic passwords like OTPs suffer a major flaw in a man-in-the-middle attack (also known as MITM attack). The following proposal consists of a way to avoid the MITM attack, especially on processes like bank transactions. The proposed method tries to tackle this problem. A base random matrix is generated on the server, and a singular value decomposition (SVD) of that matrix is calculated. A vector is created using that and is encrypted before being sent as a dynamic password. The dynamic password is decrypted on the users’ phone using data in an encrypted cookie, and the result is sent back to obtain the base random matrix. A new base random matrix is generated in every session, thus making it secure. © 2021, Springer Nature Singapore Pte Ltd.

Lecture Notes in Electrical Engineering

Robust and Novel Dynamic Password Using SVD and Linear Systems Involving Euclidean Algorithm

In general, digital signatures are part of cryptosystem. Here, signature scheme is based on non-abelian property of groups. It proposes an advanced signature scheme constructed over non-abelian group above algebraic technique in this paper. It is defined a scheme of signature algorithm through generation and verification signature. Here, algorithm is verified and confirmed by illustrations. To strengthen the algorithm, security analysis is given in this paper. © 2021, Springer Nature Singapore Pte Ltd.