{"title":"分析磁性、焦耳加热和熵产生在充满铁磁流体的倾斜多孔介质中的相互作用","authors":"Siam Abrar Saad , Srinivas Reddy Kallem , Siva Reddy Sheri , Sumon Saha","doi":"10.1016/j.anucene.2025.111801","DOIUrl":null,"url":null,"abstract":"<div><div>This study presents the interplay of magnetohydrodynamics (MHD), Joule heating, and entropy generation in the natural convection heat transfer of a heat-generating Fe<sub>3</sub>O<sub>4</sub>–water ferrofluid within an inclined porous square cavity featuring discrete heating and cooling sources. Understanding this complex interaction is vital for optimizing thermal systems in applications such as nuclear reactors, electronic cooling, and process industries, where efficient heat transfer and minimal irreversibility are anticipated. The research employs a numerical approach using the Galerkin finite element method to solve the two-dimensional Navier–Stokes and thermal energy equations under the Darcy–Brinkman–Forchheimer model for porous medium flow. Parametric simulations are conducted across a range of Rayleigh numbers (<span><math><mrow><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>9</mn></mrow></msup><mo>≤</mo><mi>R</mi><mi>a</mi><mo>≤</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>12</mn></mrow></msup></mrow></math></span>), Hartmann numbers (<span><math><mrow><mn>0</mn><mo>≤</mo><mi>H</mi><mi>a</mi><mo>≤</mo><mn>50</mn></mrow></math></span>), inclination angles (<span><math><mrow><mn>0</mn><mo>°</mo><mo>≤</mo><mi>γ</mi><mo>≤</mo><mn>45</mn><mo>°</mo></mrow></math></span>), internal heat generation factors (<span><math><mrow><mn>0</mn><mo>≤</mo><mi>Δ</mi><mo>≤</mo><mn>1</mn></mrow></math></span>), and porous materials (copper powder, brick, and soda-lime silicate). Key findings reveal that thermal performance improves significantly at higher Rayleigh numbers and greater inclination angles (up to 62%) in the ferrofluid filled copper powder porous domain. Conversely, internal heat generation reduces heat transfer efficiency and increases entropy generation. However, the MHD effect exerts negligible influence on the system’s overall efficiency due to suppressed ferrofluid motion in the porous medium. Interestingly, swapping porous medium to soda-lime silicate enhances thermal efficacy (up to 300%) and reduces irreversibilities (up to 0.54%) for <span><math><mrow><mi>R</mi><mi>a</mi><mo>≥</mo><mn>5</mn><mo>.</mo><mn>5</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>11</mn></mrow></msup></mrow></math></span>. This study uniquely integrates the effect of MHD, Joule heating, internal heat generation, and porous media analyzing thermal efficacy and irreversibilities in an inclined ferrofluid-filled porous chamber with discrete heating to identify optimal configurations, which advances beyond existing literature.</div></div>","PeriodicalId":8006,"journal":{"name":"Annals of Nuclear Energy","volume":"226 ","pages":"Article 111801"},"PeriodicalIF":2.3000,"publicationDate":"2025-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analyzing the interaction of magnetism, Joule heating, and entropy generation in an inclined porous media filled with ferrofluid\",\"authors\":\"Siam Abrar Saad , Srinivas Reddy Kallem , Siva Reddy Sheri , Sumon Saha\",\"doi\":\"10.1016/j.anucene.2025.111801\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This study presents the interplay of magnetohydrodynamics (MHD), Joule heating, and entropy generation in the natural convection heat transfer of a heat-generating Fe<sub>3</sub>O<sub>4</sub>–water ferrofluid within an inclined porous square cavity featuring discrete heating and cooling sources. Understanding this complex interaction is vital for optimizing thermal systems in applications such as nuclear reactors, electronic cooling, and process industries, where efficient heat transfer and minimal irreversibility are anticipated. The research employs a numerical approach using the Galerkin finite element method to solve the two-dimensional Navier–Stokes and thermal energy equations under the Darcy–Brinkman–Forchheimer model for porous medium flow. Parametric simulations are conducted across a range of Rayleigh numbers (<span><math><mrow><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>9</mn></mrow></msup><mo>≤</mo><mi>R</mi><mi>a</mi><mo>≤</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>12</mn></mrow></msup></mrow></math></span>), Hartmann numbers (<span><math><mrow><mn>0</mn><mo>≤</mo><mi>H</mi><mi>a</mi><mo>≤</mo><mn>50</mn></mrow></math></span>), inclination angles (<span><math><mrow><mn>0</mn><mo>°</mo><mo>≤</mo><mi>γ</mi><mo>≤</mo><mn>45</mn><mo>°</mo></mrow></math></span>), internal heat generation factors (<span><math><mrow><mn>0</mn><mo>≤</mo><mi>Δ</mi><mo>≤</mo><mn>1</mn></mrow></math></span>), and porous materials (copper powder, brick, and soda-lime silicate). Key findings reveal that thermal performance improves significantly at higher Rayleigh numbers and greater inclination angles (up to 62%) in the ferrofluid filled copper powder porous domain. Conversely, internal heat generation reduces heat transfer efficiency and increases entropy generation. However, the MHD effect exerts negligible influence on the system’s overall efficiency due to suppressed ferrofluid motion in the porous medium. Interestingly, swapping porous medium to soda-lime silicate enhances thermal efficacy (up to 300%) and reduces irreversibilities (up to 0.54%) for <span><math><mrow><mi>R</mi><mi>a</mi><mo>≥</mo><mn>5</mn><mo>.</mo><mn>5</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>11</mn></mrow></msup></mrow></math></span>. This study uniquely integrates the effect of MHD, Joule heating, internal heat generation, and porous media analyzing thermal efficacy and irreversibilities in an inclined ferrofluid-filled porous chamber with discrete heating to identify optimal configurations, which advances beyond existing literature.</div></div>\",\"PeriodicalId\":8006,\"journal\":{\"name\":\"Annals of Nuclear Energy\",\"volume\":\"226 \",\"pages\":\"Article 111801\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2025-08-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Nuclear Energy\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0306454925006188\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"NUCLEAR SCIENCE & TECHNOLOGY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Nuclear Energy","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0306454925006188","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"NUCLEAR SCIENCE & TECHNOLOGY","Score":null,"Total":0}
Analyzing the interaction of magnetism, Joule heating, and entropy generation in an inclined porous media filled with ferrofluid
This study presents the interplay of magnetohydrodynamics (MHD), Joule heating, and entropy generation in the natural convection heat transfer of a heat-generating Fe3O4–water ferrofluid within an inclined porous square cavity featuring discrete heating and cooling sources. Understanding this complex interaction is vital for optimizing thermal systems in applications such as nuclear reactors, electronic cooling, and process industries, where efficient heat transfer and minimal irreversibility are anticipated. The research employs a numerical approach using the Galerkin finite element method to solve the two-dimensional Navier–Stokes and thermal energy equations under the Darcy–Brinkman–Forchheimer model for porous medium flow. Parametric simulations are conducted across a range of Rayleigh numbers (), Hartmann numbers (), inclination angles (), internal heat generation factors (), and porous materials (copper powder, brick, and soda-lime silicate). Key findings reveal that thermal performance improves significantly at higher Rayleigh numbers and greater inclination angles (up to 62%) in the ferrofluid filled copper powder porous domain. Conversely, internal heat generation reduces heat transfer efficiency and increases entropy generation. However, the MHD effect exerts negligible influence on the system’s overall efficiency due to suppressed ferrofluid motion in the porous medium. Interestingly, swapping porous medium to soda-lime silicate enhances thermal efficacy (up to 300%) and reduces irreversibilities (up to 0.54%) for . This study uniquely integrates the effect of MHD, Joule heating, internal heat generation, and porous media analyzing thermal efficacy and irreversibilities in an inclined ferrofluid-filled porous chamber with discrete heating to identify optimal configurations, which advances beyond existing literature.
期刊介绍:
Annals of Nuclear Energy provides an international medium for the communication of original research, ideas and developments in all areas of the field of nuclear energy science and technology. Its scope embraces nuclear fuel reserves, fuel cycles and cost, materials, processing, system and component technology (fission only), design and optimization, direct conversion of nuclear energy sources, environmental control, reactor physics, heat transfer and fluid dynamics, structural analysis, fuel management, future developments, nuclear fuel and safety, nuclear aerosol, neutron physics, computer technology (both software and hardware), risk assessment, radioactive waste disposal and reactor thermal hydraulics. Papers submitted to Annals need to demonstrate a clear link to nuclear power generation/nuclear engineering. Papers which deal with pure nuclear physics, pure health physics, imaging, or attenuation and shielding properties of concretes and various geological materials are not within the scope of the journal. Also, papers that deal with policy or economics are not within the scope of the journal.