{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,30]],"date-time":"2025-12-30T17:55:42Z","timestamp":1767117342468,"version":"build-2065373602"},"reference-count":66,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2020,9,10]],"date-time":"2020-09-10T00:00:00Z","timestamp":1599696000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004768","name":"Universiti Teknikal Malaysia Melaka","doi-asserted-by":"publisher","award":["JURNAL\/2019\/FTKMP\/Q00042"],"award-info":[{"award-number":["JURNAL\/2019\/FTKMP\/Q00042"]}],"id":[{"id":"10.13039\/501100004768","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This numerical study was devoted to examining the occurrence of non-unique solutions in boundary layer flow due to deformable surfaces (cylinder and flat plate) with the imposition of prescribed surface heat flux. The hybrid Al2O3-Cu\/water nanofluid was formulated using the single phase model with respective correlations of hybrid nanofluids. The governing model was simplified by adopting a similarity transformation. The transformed differential equations were then numerically computed using the efficient bvp4c solver with the ranges of the control parameters 0.5%\u2264\u03d51,\u03d52\u22641.5% (Al2O3 and Cu volumetric concentration), 0\u2264K\u22640.2 (curvature parameter), 2.6&lt;S\u22643.2 (suction parameter) and \u22122.5&lt;\u03bb\u22640.5 (stretching\/shrinking parameter). Dual steady solutions are presentable for both a cylinder (K&gt;0) and a flat plate (K=0) with the inclusion of only the suction (transpiration) parameter. The real and stable solutions were mathematically validated through the stability analysis. The Al2O3-Cu\/water nanofluid with \u03d51=0.5% (alumina) and \u03d52=1.5% (copper) has the highest skin friction coefficient and heat transfer rate, followed by the hybrid nanofluids with volumetric concentrations (\u03d51=1%,\u03d52=1%) and (\u03d51=1.5%,\u03d52=0.5%), respectively. Surprisingly, the flat plate surface abates the separation of boundary layer while it enhances the heat transfer process.<\/jats:p>","DOI":"10.3390\/sym12091493","type":"journal-article","created":{"date-parts":[[2020,9,10]],"date-time":"2020-09-10T22:58:01Z","timestamp":1599778681000},"page":"1493","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":38,"title":["Hybrid Nanofluid Flow Past a Shrinking Cylinder with Prescribed Surface Heat Flux"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9092-8288","authenticated-orcid":false,"given":"Najiyah Safwa","family":"Khashi\u2019ie","sequence":"first","affiliation":[{"name":"Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, Durian Tunggal 76100, Melaka, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Iskandar","family":"Waini","sequence":"additional","affiliation":[{"name":"Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, Durian Tunggal 76100, Melaka, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nurul Amira","family":"Zainal","sequence":"additional","affiliation":[{"name":"Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, Durian Tunggal 76100, Melaka, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0332-7853","authenticated-orcid":false,"given":"Khairum","family":"Hamzah","sequence":"additional","affiliation":[{"name":"Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, Durian Tunggal 76100, Melaka, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Abdul Rahman","family":"Mohd Kasim","sequence":"additional","affiliation":[{"name":"Centre for Mathematical Sciences, College of Computing &amp; Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, Gambang 26300, Pahang, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,9,10]]},"reference":[{"key":"ref_1","first-page":"279","article-title":"Influence of radiation and viscous dissipation on magnetohydrodynamic Jeffrey fluid over a stretching sheet with convective boundary conditions","volume":"13","author":"Zokri","year":"2017","journal-title":"Malays. 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