Flow, thermal criticality and transition of a reactive third-grade fluid in a pipe with Reynolds' model viscosity

在线阅读 下载PDF 导出详情
摘要 Neglectingtheconsumptionofthematerial,asteadyincompressibleflowofanexothermicreactingthird-gradefluidwithviscousheatinginacircularcylindricalpipeisnumericallystudiedforbothcasesofconstantviscosityandReynolds’viscositymodel.Thecoupledordinarydifferentialequationsgoverningtheflowincylindricalcoordinates,aretransformedintodimensionlessformsusingappropriatetransformations,andthensolvednumerically.SolutionsusingMaplearepresentedintabularformandgivenintermsofdimensionlesscentralfluidvelocityandtemperature,skinfrictionandheattransferrateforthreeparametricvaluesintheReynolds’case.Thenumericalresultsforthevelocityandtemperaturefieldsarealsopresentedthroughgraphs.Bifurcationsarediscussedusingshootingmethod.Comparisonsarealsomadebetweenthepresentresultsandthoseofpreviouswork,andthusverifythevalidityoftheprovidednumericalsolutions.Importantpropertiesofthermalcriticalityareprovidedforvariableviscosityparameterandreactionorder.Furthernumericalresultsarepresentedintheformoftablesandgraphsfortransitionofphysicalparameters,whilevaryingcertainflowandfluidmaterialparameters.Also,theflowbehaviourofthereactivefluidofthird-gradeiscomparedwiththoseoftheNewtonianreactivefluid.
机构地区 不详
出版日期 2016年01月11日(中国期刊网平台首次上网日期,不代表论文的发表时间)
  • 相关文献