Partial Differential Equations in Applied Mathematics最新文献_第3页

Heat and mass transfer analysis of Williamson nanofluids under the influence of magnetic field and Joule's heating

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-01 DOI: 10.1016/j.padiff.2025.101148

Sharanayya Swami , Suresh Biradar , Jagadish V. Tawade , Nitiraj V. Kulkarni , Barno Sayfutdinovna Abdullaeva , Dana Mohammad Khidhir , Nadia Batool , Taoufik Saidani

{"title":"Heat and mass transfer analysis of Williamson nanofluids under the influence of magnetic field and Joule's heating","authors":"Sharanayya Swami , Suresh Biradar , Jagadish V. Tawade , Nitiraj V. Kulkarni , Barno Sayfutdinovna Abdullaeva , Dana Mohammad Khidhir , Nadia Batool , Taoufik Saidani","doi":"10.1016/j.padiff.2025.101148","DOIUrl":"10.1016/j.padiff.2025.101148","url":null,"abstract":"<div><div>This study investigates the thermally and chemically reactive behaviour of Williamson nanofluid flow over an exponentially stretched sheet subjected to magnetic fields and Joule heating. Using the bvp4c solver in MATLAB, the effects of various physical parameters such as viscous dissipation, heat sources, and magnetic fields on the temperature, velocity, and concentration profiles of the nanofluid are analysed. The results indicate that increasing the Williamson parameter enhances shear-thinning effects, leading to a decrease in velocity but an increase in temperature and mass transfer rates. As the magnetic field strength increases, Lorentz forces cause a thickening of the thermal boundary layer and a reduction in flow velocity. The study also highlights the significant roles of Brownian motion and thermophoresis in enhancing nanoparticle dispersion and thermal distribution. Additionally, higher Prandtl numbers lead to a slower temperature decay, while increased radiation parameter enhances heat absorption, thus raising the temperature profile. The findings from this study have important implications for industrial applications, including advanced thermal management, processes sensitive to magnetic fields, and chemical reactivity modeling. Furthermore, the results provide insights into optimizing nanoparticle dispersion and heat transfer efficiency for various engineering applications such as cooling systems and biomedical devices.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"13 ","pages":"Article 101148"},"PeriodicalIF":0.0,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143578259","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Results for cyclic contractive mappings of Kannan and Chatterjea type equipped with Mann’s iterative scheme 配备曼迭代方案的卡南和查特杰亚类型循环收缩映射的结果

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-01 DOI: 10.1016/j.padiff.2025.101145

Amna Naz , Samina Batul , Sarah Aljohani , Nabil Mlaiki

引用次数: 0

Viscous dissipation effects on heat propagating MHD nanofluid flow induced by the Brownian motion and thermophoresis impacts in a vertical cone with convective surface conditions

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-01 DOI: 10.1016/j.padiff.2025.101143

L. Joseph Sademaki , B. Prabhakar Reddy , P.M. Matao

{"title":"Viscous dissipation effects on heat propagating MHD nanofluid flow induced by the Brownian motion and thermophoresis impacts in a vertical cone with convective surface conditions","authors":"L. Joseph Sademaki , B. Prabhakar Reddy , P.M. Matao","doi":"10.1016/j.padiff.2025.101143","DOIUrl":"10.1016/j.padiff.2025.101143","url":null,"abstract":"<div><div>This article investigates the effects of viscous dissipation on steady heat propagation through chemically reactive MHD nanofluid flow with mass and heat diffusion features in a vertical cone occupied by saturated porous medium. The flow of nanofluid in the medium resulting from the processes of Brownian motion and thermophoresis. The model is constructed by means of the scrupulous framework of dimensional PDEs accompanied by related initial and boundary conditions. These equations are adeptly renewed by applying appropriate similarity variables to non-dimensional ODEs. The resulting ODEs are solved by combining the 4th order Runge-Kutta method collective with the shooting technique. Flow's pertinent parameters affecting velocity, thermal, and concentration profiles are evaluated and illustrated graphically, while the wall shear-stress, heat and mass flux rates are accurately reported by tables. The thermal and velocity fields continued by viscous dissipation, thermophoresis and radiation effects. An improved Brownian motion begun to degrade concentration field but amended thermal and velocity fields. The strengthened magnetic field caused to decline velocity field but then the porosity fostered velocity field. The influence of thermal resistance ratio elaborated velocity, thermal and concentration fields. The wall friction depreciated with Brownian motion, heat-source and heat dissipation but it was increased with magnetic field. The rate of heat transfer lowered by the radiation and Brownian motion but it was upraised by the heat-source, thermophoresis and Biot number. Likewise, the mass transfer rate diminished by heightened Biot number and thermophoresis but it was increased by the Lewis number, Brownian motion and chemical reaction.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"13 ","pages":"Article 101143"},"PeriodicalIF":0.0,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143510246","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Bifurcation, chaotic behavior, and soliton solutions of the Kairat-II equation via two analytical methods

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-01 DOI: 10.1016/j.padiff.2025.101135

Lama Alhakim , Boubekeur Gasmi , Alaaeddin Moussa , Yazid Mati

引用次数: 0

Exploring bifurcation, phase portraits, and exact solutions of the Fokas equation using the improved Cham method

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-01 DOI: 10.1016/j.padiff.2025.101134

Lama Alhakim , Boubekeur Gasmi , Alaaeddin Moussa , Yazid Mati , Haci Mehmet Baskonus

引用次数: 0

Multi-soliton and rogue wave solutions and their interaction: Insights into nonlinear dynamics in integrable systems

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-01 DOI: 10.1016/j.padiff.2025.101136

A.K.M. Kazi Sazzad Hossain , M. Ali Akbar

{"title":"Multi-soliton and rogue wave solutions and their interaction: Insights into nonlinear dynamics in integrable systems","authors":"A.K.M. Kazi Sazzad Hossain , M. Ali Akbar","doi":"10.1016/j.padiff.2025.101136","DOIUrl":"10.1016/j.padiff.2025.101136","url":null,"abstract":"<div><div>Solitons are essential in order to understand integrable systems and solve nonlinear evolution equations. They maintain signal integrity in the optical fiber and represent localized waves in plasma, paying significantly to plasma behavior management in fusion research. In fiber optics, multi-soliton solutions enhance high-bandwidth signals over long distances. The interaction of solutions is important for understanding the dynamics of nonlinear wave systems, as it provides detailed insights into the solidity, activities, and development of complex wave configurations through various physical and mathematical contexts. In this article, we examine multi-soliton and rogue wave solutions of the time-dependent variable-coefficient Kadomtsev-Petviashvili (KP) equation using the Hirota direct method. We uncover novel interaction solutions between rogue waves and multi-solitons, revealing intricate wave behaviors that advance the understanding of real-world nonlinear phenomena. Furthermore, we explore the influence of free parameters on two- and three-soliton solutions through detailed 2D and 3D visualizations, providing a comprehensive perspective on their structural properties and interactions. These results contribute to the broader understanding of nonlinear wave behavior and their practical implications in optical, plasma, and fluid dynamics systems.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"13 ","pages":"Article 101136"},"PeriodicalIF":0.0,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143509328","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Some novel existence and stability results for a nonlinear implicit fractional differential equation with non-local boundary conditions

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-01 DOI: 10.1016/j.padiff.2025.101132

Rahman Ullah Khan , Ioan-Lucian Popa

引用次数: 0

Enhanced multigrid solver for anisotropic equations with non-standard components: 3-Color Jacobi, mesh-tripling, and Fourier Analysis

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-01 DOI: 10.1016/j.padiff.2025.101133

Muhammad Shahid Ashraf, H. bin Zubair Syed

引用次数: 0

Mathematical modelling of the Phenol-Polyphenol Oxidase system for amperometric immobilized enzymes at spherical electrode

Partial Differential Equations in Applied Mathematics Pub Date : 2025-02-26 DOI: 10.1016/j.padiff.2025.101140

M. Elakkya, R. Swaminathan

引用次数: 0

A comparative study of numerical simulations via UAT and UAH tension B-splines for coupled Navier–Stokes equation with statistical validation

Partial Differential Equations in Applied Mathematics Pub Date : 2025-02-20 DOI: 10.1016/j.padiff.2025.101127

Mamta Kapoor

引用次数: 0