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A finite element method based on the Galerkin weighted residual technique solves the non-linear governing equations for the current computational model. We have conducted a parametric exploration to investigate the influence of Rayleigh number (103\u00a0\u2264\u00a0Ra\u00a0\u2264\u00a0106), several angles of an elliptical cylinder (0\u00b0 \u2264 \u03b8 \u2264 90\u00b0), aspect ratios (1\u00a0\u2264\u00a0AR\u00a0\u2264\u00a03), and varied nanofluid volume fractions (0 \u2264 \u03c6 \u2264 0.1). The graphical representation of the numerical results, such as streamlines, isotherm contours, the angle of elliptical cylinders, and the average Nusselt number is illustrated in the figures. This research and a prior publication agree strongly. The results show that the heat transfer rate increases with the angle of orientation and AR for each value. The vertical direction of an elliptical cylinder significantly enhanced the rate of heat transfer. The result indicates that for mutually pure water and nanoparticles, the maximum heat transmission rate appears at \u03b8\u00a0=\u00a090\u00b0, AR\u00a0=\u00a03.0, \u03bb\u00a0=\u00a05, \u03c6\u00a0=\u00a04%, and Ra\u00a0=\u00a0106. The undulation effectiveness reaches its highest at an undulation number of 5.<\/jats:p>","DOI":"10.1093\/jcde\/qwae079","type":"journal-article","created":{"date-parts":[[2024,9,11]],"date-time":"2024-09-11T02:16:32Z","timestamp":1726020992000},"page":"130-144","source":"Crossref","is-referenced-by-count":3,"title":["Computational modeling and simulations to study the thermal enhancement in nanofluid flow in undulating wavy cavity of a cylinder: Finite element analysis"],"prefix":"10.1093","volume":"12","author":[{"given":"Md","family":"Fayz-Al-Asad","sequence":"first","affiliation":[{"name":"Department of Mathematics, American International University-Bangladesh , Kuratoli, Khilkhet, Dhaka 1229 ,","place":["Bangladesh"]},{"name":"Department of Mathematics, Bangladesh University of Engineering and Technology , Dhaka 1000 ,","place":["Bangladesh"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3352-2548","authenticated-orcid":false,"given":"Zahoor","family":"Iqbal","sequence":"additional","affiliation":[{"name":"School of Computer Science and Technology, Zhejiang Normal University , Jinhua 321004 ,","place":["China"]},{"name":"Zhejiang Institute of Photoelectronics & Zhejiang Institute for Advanced Light Source, Zhejiang Normal University , Jinhua, Zhejiang 321004 ,","place":["China"]}]},{"given":"Md Shamim","family":"Hasan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Bangladesh University of Engineering and Technology , Dhaka 1000 ,","place":["Bangladesh"]}]},{"given":"Nidal H E","family":"Eljaneid","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, University of Tabuk , Tabuk ,","place":["Saudi Arabia"]}]},{"given":"Md Manirul","family":"Alam\u00a0Sarker","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Bangladesh University of Engineering and Technology , Dhaka 1000 ,","place":["Bangladesh"]}]},{"given":"Sharifah E","family":"Alhazmi","sequence":"additional","affiliation":[{"name":"Mathematics Department, Al-Qunfudah University College, Umm Al-Qura University , Mecca ,","place":["Saudi Arabia"]}]},{"given":"Jaffer","family":"Shah","sequence":"additional","affiliation":[{"name":"Medical Research Center, Kateb University , Kabul ,","place":["Afghanistan"]}]},{"given":"M M","family":"Alqarni","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Sciences, King Khalid University , Abha 61413 ,","place":["Saudi Arabia"]}]},{"given":"Tarek M","family":"Awwad","sequence":"additional","affiliation":[{"name":"Department of Civil Engineering, Engineering College, Northern Border University , Arar ,","place":["Saudi Arabia"]}]},{"given":"Thanaa","family":"Elnaqeeb","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Faculty 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