CINXE.COM

<!DOCTYPE html><html lang="en-US"><head><title>Just a moment...</title><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta http-equiv="X-UA-Compatible" content="IE=Edge"><meta name="robots" content="noindex,nofollow"><meta name="viewport" content="width=device-width,initial-scale=1"><style>*{box-sizing:border-box;margin:0;padding:0}html{line-height:1.15;-webkit-text-size-adjust:100%;color:#313131;font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Helvetica Neue,Arial,Noto Sans,sans-serif,Apple Color Emoji,Segoe UI Emoji,Segoe UI Symbol,Noto Color Emoji}body{display:flex;flex-direction:column;height:100vh;min-height:100vh}.main-content{margin:8rem auto;max-width:60rem;padding-left:1.5rem}@media (width <= 720px){.main-content{margin-top:4rem}}.h2{font-size:1.5rem;font-weight:500;line-height:2.25rem}@media (width <= 720px){.h2{font-size:1.25rem;line-height:1.5rem}}#challenge-error-text{background-image:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIzMiIgaGVpZ2h0PSIzMiIgZmlsbD0ibm9uZSI+PHBhdGggZmlsbD0iI0IyMEYwMyIgZD0iTTE2IDNhMTMgMTMgMCAxIDAgMTMgMTNBMTMuMDE1IDEzLjAxNSAwIDAgMCAxNiAzbTAgMjRhMTEgMTEgMCAxIDEgMTEtMTEgMTEuMDEgMTEuMDEgMCAwIDEtMTEgMTEiLz48cGF0aCBmaWxsPSIjQjIwRjAzIiBkPSJNMTcuMDM4IDE4LjYxNUgxNC44N0wxNC41NjMgOS41aDIuNzgzem0tMS4wODQgMS40MjdxLjY2IDAgMS4wNTcuMzg4LjQwNy4zODkuNDA3Ljk5NCAwIC41OTYtLjQwNy45ODQtLjM5Ny4zOS0xLjA1Ny4zODktLjY1IDAtMS4wNTYtLjM4OS0uMzk4LS4zODktLjM5OC0uOTg0IDAtLjU5Ny4zOTgtLjk4NS40MDYtLjM5NyAxLjA1Ni0uMzk3Ii8+PC9zdmc+);background-repeat:no-repeat;background-size:contain;padding-left:34px}@media (prefers-color-scheme:dark){body{background-color:#222;color:#d9d9d9}}</style><meta http-equiv="refresh" content="120"></head><body class="no-js"><div class="main-wrapper" role="main"><div class="main-content"><noscript><div class="h2"><span id="challenge-error-text">Enable JavaScript and cookies to continue</span></div></noscript></div></div><script>(function(){window._cf_chl_opt={cvId: '3',cZone: "publications.waset.org",cType: 'non-interactive',cRay: '91363355f8293dea',cH: '__Fn0oaXmPuepoFGAHeH5eixHGxc_G4WmkBQqfJVUL8-1739799744-1.2.1.1-CyNPjdCfyjfQf.ZWvSbMxqLwE1D7kPCdlD0RyUZyKiszcEqN3SsuABccJ2xho.2z',cUPMDTk: "\/abstracts\/search?q=multiphase%20flow%20model&__cf_chl_tk=Q4hkslfcdav5o2ROqIsHfxJiNmGid3yb9BPz1WlGW20-1739799744-1.0.1.1-UZaNpZr0ucdnaTDHXf16Mp3L6pVDv_7lG2xKGv7VpWg",cFPWv: 'b',cITimeS: '1739799744',cTTimeMs: '1000',cMTimeMs: '120000',cTplC: 0,cTplV: 5,cTplB: 'cf',cK: "",fa: "\/abstracts\/search?q=multiphase%20flow%20model&__cf_chl_f_tk=Q4hkslfcdav5o2ROqIsHfxJiNmGid3yb9BPz1WlGW20-1739799744-1.0.1.1-UZaNpZr0ucdnaTDHXf16Mp3L6pVDv_7lG2xKGv7VpWg",md: "TEbtjX1zAibLXzb1Sb9VEwmgZvXKHWnUD5yb4sdSFF0-1739799744-1.2.1.1-UAgfH5JC0VOmNteMqYd9P2e2fh7azwAwT8ApPcb2TR5Fp_wQnSjrABf09Yc83u6dnzXwxQvaTj.HHTvlEAcT6w4Qv9nQanSbJFHDNeRTqEUlG.os8HPe0lCmKlvuJ9ph2hN9f.ty6q2lSMpud4Ht6HYj61MC3VNJkjeDjgPmMGZXvQCNeSN.u4pC6udENFfVecmaJfcy0K958oInSWpgvLTAN.8wYiSmiYwvOFoU1NMlPufumas07ZShNAoCOPNUfH9loLIXSbojwb5rD2zlfZZzTzYF5c3T2_l6Sl2Z1jcPlaHvXqCkHNYtFnSz_lXl2_I0GJ17gyrmvN1cHGH.jRbfvX7_VICyGAo0crQSsRLHQK4ktxdhG0.9XECfaf1.txfU1kOVy5GEHYvgNnTyArXBLpQfYZXwgwIw5y9DEEBtSVxYuFEdb23AXIPFZ0S67A9ZTOrV6eknHBIUua6Nc96uuAXC1_T.447A34vywW5IdZvIBjjBcCNK_SiwaNFhY6lls2kCN.Bf7P_TGJTSyhyF2t5Sq2aGV7738Uay_Inn1us.LHskwhU0Ry3gWTjOVfxUNvkYh6.hXhnuXVO3IPSFh9.J5N3Kh33acF9ZjqYbjTz6seBUpkoemZPvh99ircv2PJkDd7.1BChoS8bchCOLknlcCFPv7CPSu9AGgm3qSwhOZA0kLpI3nQ0nQqWSTmyEHzw8Fm9a8XKVOts2rejPcsKpyJ9NFio.Owngn5B9EBoLYzV5ZlHXUlAwF1B.z7DoTs.baXFd0JNc_YvNGRxaJU1GBjSp2Y3ajy1j7qw.3k0R95vvFAIhh4cH3TdNBApQWU6kmntzkQUpFbbtUtwXsfbF_MrzqtG3iYWKW.jGW0GA1wM1mU6AwbNiJSryHk8nOo8tEJXLttDM3dT67sl.8ReECcZzcervue8haFWmWYBnLh04i6DL0UQWxIUxbyplJUJmkFoI84A85w.1vX9r8c_gxAyeQZ23QtzO8pvzFCGyKvJQiZO91eS9D1iZk5MSBrIyZTwIj5djrstQk14UazjXqV8NWEEoCm8nPGGwuM75qbzmUqikrdKp9uxUL4NWOgTWxe1o6c7qF8iMXOTnD.N50qeA3lXnq3o1R_.ZXbO7ThfZWAMSz.FjNrUNmb1yeEBsj7oUH6b6xpY0j3qDhoPdW3Tf9x7F.btbBDSt_fSunnwlGI5GzNVbtTiOZtqQJyFmwwSSiEK67Vxu3zxJwhbED6boYvrjy_Z2DDm4s990xB2KBR1ebUbKfSwMEjs2gsFaaFxVWCFAwKu4ipIQkMyewPymIx1mkcCOz5lL55qgbvznI4IwOjYquocUJzRnTGDuZepApRX8WFn8BaJi.ApW.TeLcU6wowGqxmKcDqidiA98CMZ.itONsw5tFJPCbVZQktYn84_.xrMcBgadpKr1wJ.jtvHpDGpm4a05G0wswDEFCKOqrUTIUmgOKThv13FU4ivS9iJXyQ4MoVCHTILIrQGXVsg9xmEbcUq2BmDrk34cFnAWrFGAYUMCieHwRtVuiYJGlt8qDy6OMiCPmAhZbog8R14CUAjh0vRJcjlYkTH7XUh7L6em2C1vMpFOsL474HViYnJJpayOaldnoIRClMd9H3Jl84WPm9NV.ZHZqBSsyDqbLchCR_QVHeoJCJhmBtjovJ0stFGC7DIVeNb3s4CLLkHhgwviSJrGKJFh3KKVN7fsSbBPniXeHmv6_KpdhODOp0E6roBlYgD4cENFojreFiEc_CUqWyh3aTViFAwvqXowiDgDsQW5lINGmDZCoegYRCE03r.kx7XT.j6tiYF0JN4vGjVYHHhMkqxX0fthdSN7b0wTdt.oUVVzYKQ4KRhbzDdwbq1BfYUDApxOiRtOQ.ExUEwM4U_O9l5C8Oifor2SpTce3DFe2XkFkwmPD121JpZXZuCQO8ua4lGTi7QBVLKBz0qoFIq6goWVZRXUnbEAjMoYJSwp",mdrd: "0_J8pgSS4TnUN2YPcF3_mEbo8DH6YR_H4eJXBKe80Kw-1739799744-1.2.1.1-8drxKAKcMJjcJUay5pm.GlaTU3r7W6Z9ZN0FSGdpdFOA7stKamgVVmv5yH9UMSOPnP67qKDvdmsojdhXdoT2sse.Sw_IMDmmNu0.uYIuC2BLD44_ts9bncTJDPVw7DQymQyHIP_I4ex.HxNrFwlcoZrS5MIZmKDAhLL3G.jZ40DO5gR9CB4bezLBTHc75TjUzc9FzPrySRI.1TEzgIuku2qveZD7cpb76S8Prpdqu60XFLwz9w5R.ETIMUYT.E2ijpnCti185RLIimQcBVMeqyux96u1gK2Z0Az3CkXrR2P8oZlGP7Uucb.RZm7eBUV5s19RmZc9kRAQ5.99Ip8Z2zocELuJDbbzn.AMkoumTzu79VuCYuWkHK9oMJnGNzHx3STC8C3pQ5ecGmNFrqfmenB64wM4F4f4TIMWhKmDFwXmzM6_OYfa5eGZ0NH7BZlB1KizWAytwtgsaKMmIMH_fFrC5EYijhS_pxGks3rCnSy5bErSzKqn9zrji7_j0RuYqHX389N0Enej2xix53ZjVSVVU.Qzrby_PEnC_jjficbP_TGZAhQmMO4FAp1ZVFFAK.UDbqpsi64dDKR7kNnuKWftl7pSerjdjL5BiY5UIBvIeuyMaUHnu1x.KLYY4VG4ayatg8C_BcbeA0alznMNQC4Mp3suY0xxxAK59OeA3BsW4L9qwOmrgC3cqP5XNBmS31oxc.qfl_W8jiFyN9GXIBZBDvko0OxJBIavnE7jEtA9VOQeuGVLlrfiE6JLHvm19KY_0Wq82pDC0cs9QB4jNmYgJYdMV6YAKgwIjRDpGh9A4WV8niL.Hdc_M.vJzgA9h_lFpgIvj2ve7TPbBnri4_DCOoi5yGTQiQfWV15PNxIrrIv37vakLP3wi4VJcQ92OIsHfuuaKhE39Uw4BActzoKgueniVb.h3OiSYpHECnjDolYTTNHG5HxvNGj3Q0qINpcp6qo2vTPEmRs8VBEidsPlSf4_AyEXBeb9wFf20v7ESnEHDf.xnBrX_bL3BnBmuIFKrPpsOWKGXTQn7CT3pqaMtnkcWevINS6eTnYtmrQU46AORUbRA2nhOi0UwArGfY0QXG.pcezU9ILO1hcmmM56PimlNmJrv7tz7Kpt3P0uMOr402IHGXbWx9uI5wKH_pRXfKthVlWtYeBq8B3xagVN6dECRB94slm3DSBWTRbKXAzNBF5_rMKyT4yXWorSYuM_QvySQPLC5ONkUfcQ983TbmyS7DE.XSu65xKC9Eu4C5nIuIUog6t61J4O19p37jOjQYR.XAjxeAbNxtxqEEElgOg80swXlvs6l0zGr28ixQB6Lz50bHcKxQ39stzCXFSQEzGjFivqRe3dIZV0apoAGiO1IxhFHE0gT8g.x_nDcHyKItPCCiraUd_pk0Rb6vYe0.PwxohR2ICuoCgUnCGpxGE8momMLQ1u4C_rmvkb45pZUddA9aApx3mVLxutCOpsxqk35xXo634jfKUXmOcoaj8XrEb.lwFWN_Vzsp7gzGJQ.hINB8uSNw_DB4t4AE98.lxSCdbiRT45J8YZJIeReLmrn4Qg4_ppQZwBZfOxfruxDWrjGtzkVGuSSPsE9p7YC3096IxxfCPBpsJO5mJqgTl9bzYV4F1AyBl_EDoNaJJNSy.FbN2w.hVgKtPNr1pCDS_8AzL160miAJ.HiSpDXKqCfRDuTEU_9pwdkoOjN8qfHyz3Sid5.ixjDJjK5H1O.BPOk_.OEiiSW1XFH0kT3SaX9GQAwHDSclWPtWLp9h9oSEqS.FMo0zP6pu.8_sczfJMqfoNQpAVr66d6YSBRhRD53Hk21PRhzQfHwWw96plGohCFhbwxtlM54yCkVX8IwqTwHl8BUlNmVy_h9_iQsNm_YE1dg6uIcLDA1Dq4BJvzyGJSo5ScVHOQWAciMtqOMLRsOTkiNFe.z8XqD4eSWDHdFkcca.U0WADT2OR46XT_Qh6yK5Dr.FAHLjvV"};var cpo = document.createElement('script');cpo.src = '/cdn-cgi/challenge-platform/h/b/orchestrate/chl_page/v1?ray=91363355f8293dea';window._cf_chl_opt.cOgUHash = location.hash === '' && location.href.indexOf('#') !== -1 ? '#' : location.hash;window._cf_chl_opt.cOgUQuery = location.search === '' && location.href.slice(0, location.href.length - window._cf_chl_opt.cOgUHash.length).indexOf('?') !== -1 ? '?' : location.search;if (window.history && window.history.replaceState) {var ogU = location.pathname + window._cf_chl_opt.cOgUQuery + window._cf_chl_opt.cOgUHash;history.replaceState(null, null, "\/abstracts\/search?q=multiphase%20flow%20model&__cf_chl_rt_tk=Q4hkslfcdav5o2ROqIsHfxJiNmGid3yb9BPz1WlGW20-1739799744-1.0.1.1-UZaNpZr0ucdnaTDHXf16Mp3L6pVDv_7lG2xKGv7VpWg" + window._cf_chl_opt.cOgUHash);cpo.onload = function() {history.replaceState(null, null, ogU);}}document.getElementsByTagName('head')[0].appendChild(cpo);}());</script></body></html>