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Regression analysis of squeezing-induced hybrid nanofluid flow in Darcy-Forchheimer porous medium

Applied mathematics and Mechanics(English Edition) 2025年第1期46卷 193-208页

作者： K.MUHAMMAD M.SARFRAZ Department of Humanities and Sciences School of Electrical Engineering and Computer ScienceNational University of Sciences and TechnologyIslamabad 44000Pakistan Department of Mathematics Quaid-i-Azam UniversityIslamabad 44000Pakistan

This article presents a mathematical model addressing a scenario involving a hybrid nanofluid flow between two infinite parallel *** plate remains stationary,while the other moves downward at a squeezing *** space between these plates contains a Darcy-Forchheimer porous medium.A mixture of water-based fluid with gold(Au)and silicon dioxide(Si O2)nanoparticles is *** contrast to the conventional Fourier's heat flux equation,this study employs the Cattaneo-Christov heat flux equation.A uniform magnetic field is applied perpendicular to the flow direction,invoking magnetohydrodynamic(MHD)***,the model accounts for Joule heating,which is the heat generated when an electric current passes through the *** problem is solved via NDSolve in *** and statistical analyses are conducted to provide insights into the behavior of the nanomaterials between the parallel plates with respect to the flow,energy transport,and skin *** findings of this study have potential applications in enhancing cooling systems and optimizing thermal management *** is observed that the squeezing motion generates additional pressure gradients within the fluid,which enhances the flow rate but reduces the frictional ***,the fluid is pushed more vigorously between the plates,increasing the flow *** the fluid experiences higher flow rates due to the increased squeezing effect,it spends less time in the region between the *** thermal relaxation,however,abruptly changes the temperature,leading to a decrease in the temperature fluctuations.

关键词： convective boundary condition Darcy-Forchheimer medium hybrid nanofuid Joule heating magnetohydrodynamic(MHD) numerical solution squeezing flow regression analysis

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Interval Valued Secondary k-Range Symmetric Quadri Partitioned Neutrosophic Fuzzy Matrices with Decision Making

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Neutrosophic Sets and Systems 2025年 78卷 506-539页

作者： Radhika, K. Senthil, S. Kavitha, N. Jegan, R. Anandhkumar, M. Bobin, A. Tamilnadu Thanjavur613005 India Department of Mathematics Faculty of Science and Humanities R.M.K. Engineering College Tamilnadu Chennai601 206 India Department of Mathematics Saveetha Engineering College Thandalam Tamilnadu Chennai India Department of Mathematics Panimalar Engineering College Tamilnadu Chennai India Tamilnadu Villupuram India

The objective of this study is to establish the results concerning Interval-Valued (IV) Secondary k-Range Symmetric (RS) Quadri Partitioned Neutrosophic Fuzzy Matrices (QPNFM). We have applied the RS condition within the neutrosophic environment to explore the relationships between IVQP s−k-RS, s-RS, IVQP k-RS, and IVQP RS matrices. This analysis has yielded significant insights into how these various matrix types interrelate and their structural properties. We have established the necessary and sufficient criteria for IVQP s−k-RS IVQPNFM, along with various generalized inverses of an IVQP s−ks-RS fuzzy matrix to maintain its classification as an IVQP s−k-RS matrix. Furthermore, we have characterized the generalized inverses of an IVQP s−k-RS matrix S corresponding to the sets S = {1,2}, S = {1,2,3}, and S = {1, 2, 4}. This characterization contributes to the foundational understanding of generalized inverses in the context of IVQPNFM. Additionally, a graphical representation of RS, Column symmetric (CS), and kernel symmetric (KS) adjacency and incidence QPNFM is illustrated. It is shown that every adjacency QPNFM is symmetric, RS, CS, and KS, whereas the incidence matrix only satisfies KS conditions. Similarly, every RS adjacency QPNFM is a KS adjacency QPNFM, but a KS adjacency QPNFM does not necessarily imply RS QPNFM. In this paper, we present an application of soft graphs in decision-making through the use of the adjacency matrix of a soft graph. We have developed an algorithm for this purpose and provide an example to demonstrate its application. © 2025, University of New Mexico. All rights reserved.

关键词： Inverse problems

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TOPSIS approach for MADM based on Quadripartitioned single valued neutrosophic refined Hamacher aggregation operations

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Neutrosophic Sets and Systems 2025年 80卷 163-177页

作者： Arokia Pratheesha, S.V. Annapoorna, M.S. Radha, R. Arora, Parul Wason, Ritika Divya Baliga, B. Department of Mathematics Dr.N.G.P Arts and Science College Coimbatore India Department of Mathematics BMS Institute of Technology and Management Karnataka Bengaluru India Department of Science and Humanities Karpagam College of Engineering Coimbatore India Delhi India Department of Mathematics New Horizon College Karnataka Bangalore India

Hamacher operators are extensively utilized in multicriteria attribute group decision-making (MAGDM) problems due to their remarkable adaptability provided by an adjustable parameter. Here, the Hamacher T-norm and T-conorm operations for two QSVNRNs are *** these Hamacher operations, we present the quadripartitioned single-valued neutrosophic refined Hamacher weighted averaging (QSVNRHWA) operators within the QSVNR framework and analyze their ***, we explore a TOPSIS-based approach for multi-attribute decision-making problems that employs the QSVNRHWA operators, demonstrating its application in evaluating practical scenarios related to converting solid waste into energy. © 2025, University of New Mexico. All rights reserved.

关键词： Decision making

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Neural network-assisted analysis of MHD boundary layer flow and thermal radiation effects on SWCNT nanofluids with Maxwellian and non-Maxwellian models

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Multiscale and Multidisciplinary Modeling, Experiments and Design 2025年第2期8卷 1-15页

作者： Jyothi, K. Sailakumari, Annareddy Vaddemani, Ramachandra Reddy Kodi, Raghunath Department of Humanities and Basic Sciences G. Pulla Reddy Engineering College Andhra Pradesh Kurnool518002 India Department of Mathematics JNTUA College of Engineering Andhra Pradesh Anantapur515002 India Department of Humanities and Science K.S.R.M. College of Engineering Andhra Pradesh Kadapa518002 India Andhra Pradesh Yemmiganur518360 India

This analysis investigates the magnetohydrodynamic (MHD) boundary layer flow and heat transfer characteristics of single-walled carbon nanotubes (SWCNTs) dispersed in Maxwellian and non-Maxwellian nanofluids with water between two disks. Numerical methods incorporated thermal radiation effects and convective boundary conditions, and similarity transformations were employed for analysis. Key findings reveal that the Nusselt number, skin friction coefficient, and Sherwood number decrease with increasing material fraction, while the Deborah number significantly impacts velocity and temperature profiles. The integration of the Finite Element Method (FEM) with neural networks, specifically the Levenberg–Marquardt supervised method, ensured precise and efficient computations. The absolute error between numerical and predicted results remained minimal, validating the accuracy and reliability of the approach. These results enhance the understanding of thermal radiation effects in nanofluids and demonstrate the potential of machine learning in modeling complex fluid systems. Applications include advanced cooling systems, heat exchangers, and MHD aerospace technologies, offering significant advancements in thermal management solutions. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.

关键词： Single-walled carbon nanotubes (SWCN)

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On Schur Complement in k-Kernel Symmetric Block Quadri Partitioned Neutrosophic Fuzzy Matrices

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Neutrosophic Sets and Systems 2025年 78卷 292-322页

作者： Radhika, K. Harikrishnan, T. Prabhu, R. Ambrose Tharaniya, P. Peter, M.John Anandhkumar, M. Tamilnadu Thanjavur613005 India Department of Mathematics Faculty of Science and Humanities SRM Institute of Science and Technology Ramapuram Tamilnadu India Department of Mathematics Rajalakshmi Institute of Technology Poonamalle Tamilnadu Chennai India Department of Mathematics Panimalar Engineering College Tamil Nadu Chennai600123 India Tamilnadu Villupuram India

In this paper, we present equivalent characterizations of k-kernel symmetric (k-KS) Quadri Partitioned Neutrosophic Fuzzy Matrices (QPNFMs). Additionally, we establish the necessary and sufficient conditions for the Schur complement (SC) within a k-KS QPNFM to be k-symmetric. The study also offers equivalent characterizations of both KS and k-KS QPNFMs. A few fundamental examples of KS QPNFMs are provided to clarify these concepts. It is shown that although k-symmetry implies k-KS, the converse does not necessarily hold. Several fundamental properties of k-KS QPNFMs are also derived. Finally, decision-making model utilizing QPNSMs has been successfully developed and validated through its application to real-world problems. © 2025, University of New Mexico. All rights reserved.

关键词： Matrix algebra

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Hybrid bidirectional quantum communication with different levels of control with simulation

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Communications in Theoretical Physics 2025年第1期77卷 65-91页

作者： Plaban Saha Manoj Kumar Mandal Binayak S Choudhury Soumen Samanta Department of Mathematics Indian Institute of Engineering Science and TechnologyShibpur B.GardenHowrah—711103West BengalIndia Department of Applied Science and Humanities Haldia Institute of TechnologyHatiberiaHaldiaPurba Medinipur—721657West BengalIndia

In this paper,we develop a quantum communication protocol for the simultaneous preparation of a two-qubit and a three-qubit state at the positions of two different parties situated spatially *** one party,Alice,it is a remote state preparation of a known two-qubit state while for the other party,Bob,it is a joint remote state preparation with the help of a third party,*** protocol is executed in a hybrid form bi-directionally in the presence of two controllers,Charlie and *** is a hierarchy in the process through different levels of control under which the actions by Alice and Bob are *** is a need for a ten-qubit entangled channel connecting the five *** generation of this channel through a circuit is *** protocol is executed on the IBM Quantum *** also study the effect of noise on our ***,amplitude-damping,bit-flip and phase-flip noisy environments are considered and the corresponding variations of fidelity are theoretically and numerically analyzed.

关键词： remote state preparation joint remote state preparation hierarchy entangled state quantum circuit controlled protocol

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Optical Solitons for the Dispersive Concatenation Model with Differential Group Delay

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Nonlinear Optics Quantum Optics 2025年第1-2期61卷 71-97页

作者： Arnous, Ahmed H. Biswas, Anjan Yildirim, Yakup Alshomrani, Ali Saleh Department of Physics and Engineering Mathematics Higher Institute of Engineering El–Shorouk Academy Cairo Egypt Department of Mathematics and Physics Grambling State University GramblingLA71245–2715 United States Department of Mathematics King Abdulaziz University Jeddah21589 Saudi Arabia Department of Applied Sciences Cross–Border Faculty of Humanities Economics and Engineering Dunarea de Jos University of Galati 111 Domneasca Street Galati800201 Romania Department of Mathematics and Applied Mathematics Sefako Makgatho Health Sciences University Medunsa 0204 South Africa Department of Computer Engineering Biruni University Istanbul34010 Turkey Mathematics Research Center Near East University Nicosia99138 Cyprus Faculty of Arts and Sciences University of Kyrenia Kyrenia99320 Cyprus

This paper retrieves optical soliton solutions to the dispersive concatenation model with differential group delay that is with Kerr law of nonlinearity. The enhanced direct algebraic method has made this recovery possible. A full spectrum of optical solitons are presented. The intermediary functions that framed the pathway to the soliton solutions are Weierstrass’ elliptic functions and Jacobi’s elliptic functions. The parameter constraints that guarantees the existence of such solitons are also presented. ©2025 Old City Publishing, Inc.

关键词： Group delay

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Computer simulation and performance analysis of metal–semiconductor–metal back-contact perovskite solar cells

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Journal of Computational Electronics 2025年第3期24卷 1-19页

作者： Dossayev, Iliyas T. Akhanuly, Assylan Parkhomenko, Hryhorii P. Dzhumagulova, Karlygash N. Ng, Annie Shalenov, Erik O. Jumabekov, Askhat N. Department of Mathematics School of Sciences and Humanities Nazarbayev University Astana010000 Kazakhstan Department of Physics School of Sciences and Humanities Nazarbayev University Astana010000 Kazakhstan Institute of Experimental and Theoretical Physics Al-Farabi Kazakh National University Almaty050040 Kazakhstan Department of Electrical and Computer Engineering School of Engineering and Digital Sciences Nazarbayev University Astana010000 Kazakhstan Department of General Physics Satbayev University Almaty050013 Kazakhstan

Metal–semiconductor–metal back-contact perovskite solar cells (MSM BC PSCs) with interdigitated metallic electrodes show promise due to their simple structure. However, the power conversion efficiency (PCE) of experimentally obtained MSM BC PSCs is rather moderate. This could be attributed to suboptimal geometric dimensions of electrodes and the poor quality of the perovskite layers in reported devices. In this study, computer simulation methods are employed to investigate the influence of electrode and perovskite layer geometric and electronic parameters on the performance of MSM BC PSCs. The goal is to determine the optimum conditions for achieving high PCE. The findings reveal that the PCE of devices improves as the dimensions of electrodes become smaller. However, significant improvements in PCE are observed when the charge carrier diffusion lengths in the perovskite layer become longer and the work function difference between the electrodes becomes larger. The prediction based on optimal electrode and perovskite layer geometric and electronic parameters suggests that a PCE of around 26% can be achieved with MSM BC PSCs. Findings of this work unveils the hidden potential of MSM BC PSCs and can serve as a theoretical guide to optimize the structure and performance of experimental devices. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2025.

关键词： Back-contact Computer simulations Perovskites Schottky-junction Solar cells

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Blood-based magnetohydrodynamic Casson hybrid nanofluid flow on convectively heated bi-directional porous stretching sheet with variable porosity and slip constraints

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Chinese Physics B 2025年第1期34卷 294-306页

作者： Showkat Ahmad Lone Rawan Bossly Fuad S.Alduais Afrah Al-Bossly Arshad Khan Anwar Saeed Department of Basic Sciences College of Science and Theoretical StudiesSaudi Electronic University(Jeddah-M)Riyadh-11673Saudi Arabia Department of Mathematics College of ScienceJazan UniversityJazan 82817Saudi Arabia Department of Mathematics College of Science and Humanities in Al-KharjPrince Sattam bin Abdulaziz UniversityAl-Kharj 11942Saudi Arabia College of Aeronautical Engineering National University of Sciences and TechnologySector H-12Islamabad 44000Pakistan Department of Mathematics Abdul Wali Khan UniversityMardan 23200KhyberPakhtunkhwaPakistan

Fluid flow through porous spaces with variable porosity has wide-range applications,notably in biomedical and thermal engineering,where it plays a vital role in comprehending blood flow dynamics within cardiovascular systems,heat transfer and thermal management systems improve efficiency using porous materials with variable *** these important applications in view,in current study blood-based hybrid nanofluid flow has considered on a convectively heated *** sheet exhibits the properties of a porous medium with variable porosity and extends in both the x and y *** has used as base fluid in which the nanoparticles of Cu and Cu O have been *** radiation,space-dependent,and thermal-dependent heat sources have been incorporated into the energy equation,while magnetic effects have been integrated into the momentum *** variables have employed to transform the modeled equations into dimensionless form and facilitating their solution using bvp4c *** has concluded in this study that,both the primary and secondary velocities augmented with upsurge in variable porous factor and declined with escalation in stretching ratio,Casson,magnetic,and slip factors along x-and *** distribution has grown up with upsurge in Casson factor,magnetic factor,thermal Biot number,and thermal/space-dependent heat sources while has retarded with growth in variable porous and stretching ratio *** findings of this investigation have been compared with the existing literature,revealing a strong agreement among present and established results that ensured the validation of the model and method used in this work.

关键词： hybrid nanofluid Casson fluid magnetohydrodynamics variable porous space space/thermaldependent heat sources velocity slip and thermal convective conditions

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Fractionized based rheological features of transient motion of Walter's B fluid in a rectangular oscillatory duct with cosine and sine oscillations

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Journal of Computational Design and engineering 2025年第4期12卷 205-220页

作者： Yasir, Muhammad Ahmed, A. Aldosari, F.M. Abdelfattah, Walid Alrihieli, Haifaa F. Elseesy, Ibrahim E. Thandalam Tamil Nadu Chennai600124 India Department of Mathematics Quaid-i-Azam University Islamabad44000 Pakistan Department of Mathematics Namal University Mianwali42250 Pakistan Department of Physics College of Science and Humanities Prince Sattam bin Abdulaziz University Al-Kharj11671 Saudi Arabia Department of Mathematics College of Science Northern Border University Arar73213 Saudi Arabia Department of Mathematics Faculty of Science University of Tabuk P.O. Box 741 Tabuk71491 Saudi Arabia Mechanical Engineering Department College of Engineering King Khalid University Abha61421 Saudi Arabia

The area of fractional calculus, which incorporates fractional or noninteger order derivatives and integrals, has become one of the more effective fields. As compared to the traditional differentiation with derivatives of integer order, the branch of fractional calculus with derivatives of fractional order yields more powerful results in various disciplines including bioengineering, nonlinear dynamical systems, geophysics, etc. This study is organized to address the significance of powerful tool of fractional derivatives on the transient magnetized flow behavior of a Walter's B non-Newtonian fluid in a porous medium developed inside an oscillatory rectangular fluid. The flow behavior of fluid is examined in two dimensions by taking into account both cosine and sine oscillations. To observe the involvement of fractional derivative, an efficient Caputo fractional derivative is executed on the flow problem. The exact solution of the velocity field is manifested by executing double finite Fourier sine transform and Laplace transform techniques. The velocity distribution is also graphically explored corresponding to both types of oscillations and improved pertinent parameters. This fractional derivative based study manifests the result that the increasing values of the fractional parameter and fluid parameter yields an augmentation in the velocity field of the fluid. © The Author(s) 2025.

关键词： Non Newtonian flow

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