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Mathematics
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Numerical Analysis and Scientific Computing in Applied Mathematics
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Numerical Analysis and Scientific Computing in Applied Mathematics

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 March 2024) | Viewed by 738

Special Issue Editor

Dr. Mohammad D. Al-Khaleel

E-Mail Website
Guest Editor
Department of Mathematics, Khalifa University of Science and Technology, Abu Dhabi, United Arab Emirates
Interests: efficient and parallel numerical algorithms for solving differential equations; circuit simulations and computer arithmetic; inverse and control problems; numerical parameter optimization; contractive mappings and fixed points; nanofluids, microfluids and their dynamics; fractional calculus; seismic wave modelling

Special Issue Information

Dear Colleagues,

Numerical analysis and scientific computing are important fields in applied mathematics that focus on developing and applying computational methods to solve mathematical problems and simulate real-world phenomena. These areas involve the use of algorithms, mathematical modeling, and computer simulations to approximate and analyze complex mathematical equations and systems.

Numerical analysis deals with the development, analysis, and implementation of algorithms for solving mathematical problems. It includes techniques for numerical integration, interpolation, optimization, linear and nonlinear systems of equations, and solving differential equations. Numerical methods enable the efficient and accurate computation of solutions that may be difficult or impossible to obtain analytically.

Scientific computing, on the other hand, focuses on the application of computational techniques and tools to solve problems in various scientific disciplines. It involves the development of algorithms, software, and high-performance computing methods to simulate and analyze physical, biological, and engineering systems. Scientific computing plays a crucial role in modeling and understanding complex phenomena, predicting behavior, and making informed decisions based on computational simulations.

The combination of numerical analysis and scientific computing allows for the effective solution of mathematical problems and the simulation of real-world scenarios. These fields have wide-ranging applications, including physics, engineering, finance, biology, and data science. They enable researchers and practitioners to tackle complex problems that cannot be easily solved analytically, providing insights, predictions, and optimization in diverse scientific and engineering domains.

Dr. Mohammad D. Al-Khaleel
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • numerical analysis
  • scientific computing
  • mathematical modeling
  • computer simulations
  • parallel numerical algorithms
  • inverse and control problems
  • fractional calculus
  • nanofluids, microfluids and their dynamics

Published Papers (1 paper)

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Research

19 pages, 5228 KiB  
Article
Analysis of Heat Transfer for the Copper–Water Nanofluid Flow through a Uniform Porous Medium Generated by a Rotating Rigid Disk
by Naif Abdulaziz M. Alkuhayli and Andrew Morozov
Mathematics 2024, 12(10), 1555; https://doi.org/10.3390/math12101555 - 16 May 2024
Viewed by 368
Abstract
This study theoretically investigates the temperature and velocity spatial distributions in the flow of a copper–water nanofluid induced by a rotating rigid disk in a porous medium. Unlike previous work on similar systems, we assume that the disk surface is well polished (coated); [...] Read more.
This study theoretically investigates the temperature and velocity spatial distributions in the flow of a copper–water nanofluid induced by a rotating rigid disk in a porous medium. Unlike previous work on similar systems, we assume that the disk surface is well polished (coated); therefore, there are velocity and temperature slips between the nanofluid and the disk surface. The importance of considering slip conditions in modeling nanofluids comes from practical applications where rotating parts of machines may be coated. Additionally, this study examines the influence of heat generation on the temperature distribution within the flow. By transforming the original Navier–Stokes partial differential equations (PDEs) into a system of ordinary differential equations (ODEs), numerical solutions are obtained. The boundary conditions for velocity and temperature slips are formulated using the effective viscosity and thermal conductivity of the copper–water nanofluid. The dependence of the velocity and temperature fields in the nanofluid flow on key parameters is investigated. The major findings of the study are that the nanoparticle volume fraction significantly impacts the temperature distribution, particularly in the presence of a heat source. Furthermore, polishing the disk surface enhances velocity slips, reducing stresses at the disk surface, while a pronounced velocity slip leads to distinct changes in the radial, azimuthal, and axial velocity components. The study highlights the influence of slip conditions on fluid velocity as compared to previously considered non-slip conditions. This suggests that accounting for slip conditions for coated rotating disks would yield more accurate predictions in assessing heat transfer, which would be potentially important for the practical design of various devices using nanofluids. Full article
(This article belongs to the Special Issue Numerical Analysis and Scientific Computing in Applied Mathematics)
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