Recent Computational Analysis and Simulation for Mathematical Soft Computing Modelling and Nanoscience: Optimisation Techniques

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".

Deadline for manuscript submissions: closed (31 July 2023) | Viewed by 1232

Special Issue Editors


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Guest Editor
1. Department of Mechanical Engineering, Hanyang University, Seoul, Korea
2. Department of Mathematics, GITAM School of Science, GITAM University Bangalore, Bengaluru 562163, Karnataka, India
Interests: machine learning; hybrid flow models; soft computing techniques

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Guest Editor
School of Mathematical Sciences, College of Science and Technology, Wenzhou Kean University, Wenzhou 325060, China
Interests: optimisation; non-linear dynamics; descretization methods

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Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea
Interests: fluid dynamics; heat transfer; fractaional calculus

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Department of Studies in Mathematics, Davangere University, Tholhunse 577002, India
Interests: hybrid fluids; fluid dynamics; non-linear dynamics

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Guest Editor
Department of Mathematics, Garden City College of Science and Management Studies, Bangalore 560049, India
Interests: dusty modelling; two-phase models; statistical analysis

Special Issue Information

Dear Colleagues,

Due to its importance in the semiconductor industry, the field of heat transfer in nanostructured materials and its optimisation using data science has recently received more attention from researchers. In order to address the heat dissipation issue of chips with high power densities, which is currently hindering further advances, there is an urgent need to develop nanostructures with a high heat transfer efficiency. Additionally, this field of study contains extensive research with a major influence on microelectronics, thermal logic devices, and thermoelectric technologies. Nanostructures provide a vast "playground" for studying heat transmission. However, controlling heat transmission in nanostructures is relatively difficult. Modern technologies, including the creation of quantum dots, superlattices, and interface modification might be used as potential methods to engineer heat transport at the nanoscale, where interfaces play significant roles in heat transmission. These innovations are helping us to prepare for the era of atomic chip fabrication. The thermal management of super-large scale-integrated circuits and other power semiconductor devices would also benefit greatly from additional research on interfacial heat transport in monoatomic layers and low-dimension materials.

Soft computing techniques have a significant impact on science, image recognition, pattern identification, cyber security, engineering and manufacturing, as well as technological fields. Soft computing (SC) techniques, often indicated with terms, such as machine learning (ML), neural networks, artificial intelligence (AI) and computer vision are increasingly being adopted to solve complex problems, due to the lower cost of computation and their higher flexibility and accuracy in comparison with physical-based numerical models. Soft computing models are capable of recognizing meaningful patterns in complex problems and often adopt nature-inspired techniques using evolutionary algorithms. Strong evidence from studies indicates how standalone models in soft computing can overcome the common limitations of other predictive models in different fields.

This Special Issue of Mathematics, entitled “Recent Computational Analysis and Simulation for Mathematical Soft computing modelling and Nanoscience: Optimisation techniques”, welcomes the latest studies that focus on materials design and validations; learning techniques, soft computing models, fabrication, characterization, and theoretical analyses; devices and their applications; thermal measurement technologies, etc.

Prof. Dr. Chakravarthula S. K. Raju
Dr. Puneet Rana
Prof. Dr. Nehad Ali Shah
Prof. Dr. B.C. Prasannakumara
Dr. Mamatha S. Upadhya
Guest Editors

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Keywords

  • soft computing techniques
  • mesoscopic/macroscopic formulations
  • physical nanomaterial models for experimental design and characterization
  • heat enhancement
  • nanoparticles
  • numerical simulations
  • thermal transferring in nanostructures
  • thermal measurement technologies
  • heat transfer
  • multi-scale computational approaches
  • artificial intelligence
  • machine learning
  • image processing
  • entropy analysis
  • hybrid models
  • combination of mathematical algorithms
  • discretization methods
  • particle physics

Published Papers (1 paper)

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Research

15 pages, 3811 KiB  
Article
Computational Analysis of the Magnetized Second Grade Fluid Flow Using Modified Fourier and Fick’s Law towards an Exponentially Stretching Sheet
by Hossam A. Nabwey, Aamir Abbas Khan, Muhammad Ashraf, Ahmad M. Rashad, Sumayyah I. Alshber and Miad Abu Hawsah
Mathematics 2022, 10(24), 4737; https://doi.org/10.3390/math10244737 - 13 Dec 2022
Cited by 5 | Viewed by 906
Abstract
Numerical investigation of a chemically reactive second grade fluid flow towards an exponentially stretching sheet into a porous medium induced by thermal and concentration slips boundary conditions is carried out. Further, nonlinear thermal radiations, Joule heating, MHD and thermophoretic impacts are also taken [...] Read more.
Numerical investigation of a chemically reactive second grade fluid flow towards an exponentially stretching sheet into a porous medium induced by thermal and concentration slips boundary conditions is carried out. Further, nonlinear thermal radiations, Joule heating, MHD and thermophoretic impacts are also taken into account. The modified Fourier and Fick’s law is used to analyse the thermal and solutal energy features. The nonlinear systems of partial differential equations, as well as boundary conditions, are transformed into systems of nonlinear ordinary differential equations by imposing appropriate similarity variables. Then these transformed equations are solved using the BVP4C Matlab approach numerically. The graphs and tables of a number of emerging parameters are plotted and discussed. It is noticed that by the improvement of the second grade fluid parameter, the velocity profile is reduced. Moreover, the upsurge of Eckert numbers Ec1 and Ec2 and thermal slip parameter S1 enhance the temperature of the fluid in the flow domain. Full article
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