{"title":"不同方向的封闭式圆形/半圆形加热器和冷却器的强制对流传热","authors":"Rajvinder Kaur, Sapna Sharma, Avinash Chandra","doi":"10.1002/cjce.25439","DOIUrl":null,"url":null,"abstract":"<p>The combined implementation of porous medium and hybrid nanofluid with heaters and coolers can be an effective technique to improve the efficiency of several types of electric equipment. In this regard, the present study has been conducted to analyze the forced convection heat transfer of <span></span><math>\n <mrow>\n <msub>\n <mi>Al</mi>\n <mn>2</mn>\n </msub>\n <msub>\n <mi>O</mi>\n <mn>3</mn>\n </msub>\n <mo>-</mo>\n <mi>CuO</mi>\n </mrow></math> water-based hybrid nanofluid in porous channel with pairs of heaters and coolers of various shapes. The circular and semi-circular heaters and coolers with distinct orientations are considered. The Peclet number <span></span><math>\n <mrow>\n <mfenced>\n <mrow>\n <mn>25</mn>\n <mo>≤</mo>\n <mi>Pe</mi>\n <mo>≤</mo>\n <mn>200</mn>\n </mrow>\n </mfenced>\n </mrow></math>, Darcy number <span></span><math>\n <mrow>\n <mfenced>\n <mrow>\n <msup>\n <mn>10</mn>\n <mrow>\n <mo>−</mo>\n <mn>6</mn>\n </mrow>\n </msup>\n <mo>≤</mo>\n <mi>Da</mi>\n <mo>≤</mo>\n <msup>\n <mn>10</mn>\n <mrow>\n <mo>−</mo>\n <mn>1</mn>\n </mrow>\n </msup>\n </mrow>\n </mfenced>\n </mrow></math>, porosity <span></span><math>\n <mrow>\n <mfenced>\n <mrow>\n <mn>0.1</mn>\n <mo>≤</mo>\n <mi>ε</mi>\n <mo>≤</mo>\n <mn>0.9</mn>\n </mrow>\n </mfenced>\n </mrow></math>, and volume fraction of hybrid nanoparticles <span></span><math>\n <mrow>\n <mfenced>\n <mrow>\n <mn>0.02</mn>\n <mo>≤</mo>\n <mi>ϕ</mi>\n <mo>≤</mo>\n <mn>0.08</mn>\n </mrow>\n </mfenced>\n </mrow></math> are chosen as the governing parameters. The governing equations are solved by using the finite element method based commercial software COMSOL Multiphysics. The acquired results exhibit that the heat transfer from heaters and coolers is enhanced by decreasing <span></span><math>\n <mrow>\n <mi>ε</mi>\n </mrow></math> and <span></span><math>\n <mrow>\n <mi>Da</mi>\n </mrow></math> for all the cases and values of <span></span><math>\n <mrow>\n <mi>Pe</mi>\n </mrow></math> and <span></span><math>\n <mrow>\n <mi>ϕ</mi>\n </mrow></math>. The lowest heat transfer has been obtained by circular heaters and coolers (case 1). Moreover, the semi-circular heaters and coolers with curved facing towards channel inlet (case 2) and flat surface towards the bottom channel wall (case 4) show higher heat transfer compared to other cases. The average Nusselt number for case 4 is around 3.63% higher from case 2 at the highest values of the considered parameters. Case 4 shows the minimum drag coefficient and maximum heat transfer at the highest values of the governing parameters.</p>","PeriodicalId":9400,"journal":{"name":"Canadian Journal of Chemical Engineering","volume":"102 11","pages":"3756-3775"},"PeriodicalIF":1.6000,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Forced convection heat transfer from confined circular/semi-circular heaters and coolers with various orientations\",\"authors\":\"Rajvinder Kaur, Sapna Sharma, Avinash Chandra\",\"doi\":\"10.1002/cjce.25439\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The combined implementation of porous medium and hybrid nanofluid with heaters and coolers can be an effective technique to improve the efficiency of several types of electric equipment. In this regard, the present study has been conducted to analyze the forced convection heat transfer of <span></span><math>\\n <mrow>\\n <msub>\\n <mi>Al</mi>\\n <mn>2</mn>\\n </msub>\\n <msub>\\n <mi>O</mi>\\n <mn>3</mn>\\n </msub>\\n <mo>-</mo>\\n <mi>CuO</mi>\\n </mrow></math> water-based hybrid nanofluid in porous channel with pairs of heaters and coolers of various shapes. The circular and semi-circular heaters and coolers with distinct orientations are considered. The Peclet number <span></span><math>\\n <mrow>\\n <mfenced>\\n <mrow>\\n <mn>25</mn>\\n <mo>≤</mo>\\n <mi>Pe</mi>\\n <mo>≤</mo>\\n <mn>200</mn>\\n </mrow>\\n </mfenced>\\n </mrow></math>, Darcy number <span></span><math>\\n <mrow>\\n <mfenced>\\n <mrow>\\n <msup>\\n <mn>10</mn>\\n <mrow>\\n <mo>−</mo>\\n <mn>6</mn>\\n </mrow>\\n </msup>\\n <mo>≤</mo>\\n <mi>Da</mi>\\n <mo>≤</mo>\\n <msup>\\n <mn>10</mn>\\n <mrow>\\n <mo>−</mo>\\n <mn>1</mn>\\n </mrow>\\n </msup>\\n </mrow>\\n </mfenced>\\n </mrow></math>, porosity <span></span><math>\\n <mrow>\\n <mfenced>\\n <mrow>\\n <mn>0.1</mn>\\n <mo>≤</mo>\\n <mi>ε</mi>\\n <mo>≤</mo>\\n <mn>0.9</mn>\\n </mrow>\\n </mfenced>\\n </mrow></math>, and volume fraction of hybrid nanoparticles <span></span><math>\\n <mrow>\\n <mfenced>\\n <mrow>\\n <mn>0.02</mn>\\n <mo>≤</mo>\\n <mi>ϕ</mi>\\n <mo>≤</mo>\\n <mn>0.08</mn>\\n </mrow>\\n </mfenced>\\n </mrow></math> are chosen as the governing parameters. The governing equations are solved by using the finite element method based commercial software COMSOL Multiphysics. The acquired results exhibit that the heat transfer from heaters and coolers is enhanced by decreasing <span></span><math>\\n <mrow>\\n <mi>ε</mi>\\n </mrow></math> and <span></span><math>\\n <mrow>\\n <mi>Da</mi>\\n </mrow></math> for all the cases and values of <span></span><math>\\n <mrow>\\n <mi>Pe</mi>\\n </mrow></math> and <span></span><math>\\n <mrow>\\n <mi>ϕ</mi>\\n </mrow></math>. The lowest heat transfer has been obtained by circular heaters and coolers (case 1). Moreover, the semi-circular heaters and coolers with curved facing towards channel inlet (case 2) and flat surface towards the bottom channel wall (case 4) show higher heat transfer compared to other cases. The average Nusselt number for case 4 is around 3.63% higher from case 2 at the highest values of the considered parameters. Case 4 shows the minimum drag coefficient and maximum heat transfer at the highest values of the governing parameters.</p>\",\"PeriodicalId\":9400,\"journal\":{\"name\":\"Canadian Journal of Chemical Engineering\",\"volume\":\"102 11\",\"pages\":\"3756-3775\"},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2024-07-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Canadian Journal of Chemical Engineering\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/cjce.25439\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ENGINEERING, CHEMICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Canadian Journal of Chemical Engineering","FirstCategoryId":"5","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/cjce.25439","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, CHEMICAL","Score":null,"Total":0}
Forced convection heat transfer from confined circular/semi-circular heaters and coolers with various orientations
The combined implementation of porous medium and hybrid nanofluid with heaters and coolers can be an effective technique to improve the efficiency of several types of electric equipment. In this regard, the present study has been conducted to analyze the forced convection heat transfer of water-based hybrid nanofluid in porous channel with pairs of heaters and coolers of various shapes. The circular and semi-circular heaters and coolers with distinct orientations are considered. The Peclet number , Darcy number , porosity , and volume fraction of hybrid nanoparticles are chosen as the governing parameters. The governing equations are solved by using the finite element method based commercial software COMSOL Multiphysics. The acquired results exhibit that the heat transfer from heaters and coolers is enhanced by decreasing and for all the cases and values of and . The lowest heat transfer has been obtained by circular heaters and coolers (case 1). Moreover, the semi-circular heaters and coolers with curved facing towards channel inlet (case 2) and flat surface towards the bottom channel wall (case 4) show higher heat transfer compared to other cases. The average Nusselt number for case 4 is around 3.63% higher from case 2 at the highest values of the considered parameters. Case 4 shows the minimum drag coefficient and maximum heat transfer at the highest values of the governing parameters.
期刊介绍:
The Canadian Journal of Chemical Engineering (CJChE) publishes original research articles, new theoretical interpretation or experimental findings and critical reviews in the science or industrial practice of chemical and biochemical processes. Preference is given to papers having a clearly indicated scope and applicability in any of the following areas: Fluid mechanics, heat and mass transfer, multiphase flows, separations processes, thermodynamics, process systems engineering, reactors and reaction kinetics, catalysis, interfacial phenomena, electrochemical phenomena, bioengineering, minerals processing and natural products and environmental and energy engineering. Papers that merely describe or present a conventional or routine analysis of existing processes will not be considered.