[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-18438":3,"doc-seo-18438":27},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"file_id":15,"file_url":16,"file_type":17,"file_size":18,"view_count":19,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"table_of_contents":24,"faqs":24,"seo_title":13,"seo_description":14,"update_tm":25,"read_time":26},18438,687197207057,"Sage","https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0",8,"Research & Report","Internal Energy as a Function of State Parameters in Steady and Unsteady Poiseuille Flows","Internal energy behavior in planar compressible Poiseuille flow of an ideal gas is analyzed using global non-equilibrium thermodynamics. The minimal set of state parameters required to describe internal-energy changes is reduced from five (in earlier steady-flow scaling) to three, expressed as a function of non-equilibrium entropy, volume, and particle number, independently of process details, boundary conditions, or constraints. Effects of inserting a cylinder and flow instability are shown to preserve this functional robustness via state parameters.","cbCaiue9G3mCPuDg","https://ap.wps.com/l/cbCaiue9G3mCPuDg","pdf",1128319,16,1,18,"English","en","",1776891714,45,{"code":4,"msg":28,"data":29},"ok",{"site_id":30,"language":23,"slug":31,"title":13,"keywords":24,"description":14,"schema_data":32,"social_meta":67,"head_meta":70,"extra_data":72,"updated_unix":25},105,"internal-energy-as-a-function-of-state-parameters-in-steady-and-unsteady-poiseuille-flows",{"@graph":33,"@context":66},[34,51],{"@type":35,"itemListElement":36},"BreadcrumbList",[37,41,45,48],{"item":38,"name":39,"@type":40,"position":20},"https://docshare.wps.com","Home","ListItem",{"item":42,"name":43,"@type":40,"position":44},"https://docshare.wps.com/document/","Document",2,{"item":46,"name":12,"@type":40,"position":47},"https://docshare.wps.com/document/research-report/",3,{"item":49,"name":13,"@type":40,"position":50},"https://docshare.wps.com/document/internal-energy-as-a-function-of-state-parameters-in-steady-and-unsteady-poiseuille-flows/18438/",4,{"url":49,"name":13,"@type":52,"author":53,"headline":13,"publisher":55,"fileFormat":58,"description":14,"dateModified":59,"datePublished":60,"encodingFormat":58,"isAccessibleForFree":61,"interactionStatistic":62},"DigitalDocument",{"name":9,"@type":54},"Person",{"url":38,"name":56,"@type":57},"DocShare","Organization","application/pdf","2026-06-10","2026-04-22",true,{"@type":63,"interactionType":64,"userInteractionCount":19},"InteractionCounter",{"@type":65},"ViewAction","https://schema.org",{"og:url":68,"og:type":69,"og:title":13,"og:site_name":56,"og:description":14},"https://docshare.wps.com/document/internal-energy-as-a-function-of-state-parameters-in-steady-and-unsteady-poiseuille-flows/18438","article",{"robots":71,"canonical":68},"index,follow",{"doc_id":7,"site_id":30}]