{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,25]],"date-time":"2026-01-25T17:44:43Z","timestamp":1769363083708,"version":"3.49.0"},"reference-count":52,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2023,7,15]],"date-time":"2023-07-15T00:00:00Z","timestamp":1689379200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Princess Nourah bint Abdulrahman University Researchers","award":["PNURSP2023R259"],"award-info":[{"award-number":["PNURSP2023R259"]}]},{"name":"Princess Nourah bint Abdulrahman University Researchers","award":["3806"],"award-info":[{"award-number":["3806"]}]},{"name":"Princess Nourah bint Abdulrahman University","award":["PNURSP2023R259"],"award-info":[{"award-number":["PNURSP2023R259"]}]},{"name":"Princess Nourah bint Abdulrahman University","award":["3806"],"award-info":[{"award-number":["3806"]}]},{"name":"Deanship of Scientific Research, the Vice Presidency for Graduate Studies and Scientific Research, King Faisal University","award":["PNURSP2023R259"],"award-info":[{"award-number":["PNURSP2023R259"]}]},{"name":"Deanship of Scientific Research, the Vice Presidency for Graduate Studies and Scientific Research, King Faisal University","award":["3806"],"award-info":[{"award-number":["3806"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This research presents the numerical analysis of the fluid flow containing the micro gyrotactic organism with heat and mass transfer. The flow is allowed to pass through an inclined stretching cylinder with the effects of heat generation\/a heat source and activation energy subject to the symmetric boundary conditions at the cylinder walls. Similarity transformation is employed in the system of PDEs (partial differential equations) to transform them into non-dimensional ODEs (ordinary differential equations). The solution to the proposed problem is obtained by using the bvp4c (numerical scheme). The graphical results are plotted for various flow parameters in order to show their impact on the flow, mass, energy, and motile microorganism profiles. Moreover, the angle of inclination disturbs the flow within an inclined cylinder and slows down the fluid motion, while it elevates the energy of the fluid inside an inclined cylinder. Similarly, the curvature effect is also highlighted in the dynamics of fluid velocity, temperature, and the motile microorganism profile. From the obtained results, it is elucidated that growing values of the curvature factor accelerate the temperature, velocity, and motile microbes\u2019 profiles. Finally, some engineering quantities are calculated in terms of skin friction, the Nusselt and Sherwood number, and the density of motile microbes. The acquired results are also displayed in tabular form.<\/jats:p>","DOI":"10.3390\/sym15071424","type":"journal-article","created":{"date-parts":[[2023,7,17]],"date-time":"2023-07-17T00:35:04Z","timestamp":1689554104000},"page":"1424","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Numerical Calculation of Thermal Radiative Boundary Layer Nanofluid Flow across an Extending Inclined Cylinder"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0199-6850","authenticated-orcid":false,"given":"Humaira","family":"Yasmin","sequence":"first","affiliation":[{"name":"Department of Basic Sciences, Preparatory Year Deanship, King Faisal University, Al Ahsa 31982, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7149-3314","authenticated-orcid":false,"given":"Showkat Ahmad","family":"Lone","sequence":"additional","affiliation":[{"name":"Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6187-4612","authenticated-orcid":false,"given":"Sadia","family":"Anwar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Ad Dawasir 11991, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0254-3351","authenticated-orcid":false,"given":"Sana","family":"Shahab","sequence":"additional","affiliation":[{"name":"Department of Business Administration, College of Business Administration, Princess Nourah Bint Abdulrahman University, Riyadh 11671, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1566-6457","authenticated-orcid":false,"given":"Anwar","family":"Saeed","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,7,15]]},"reference":[{"key":"ref_1","unstructured":"Rohsenow, W.M., Hartnett, J.P., and Ganic, E.N. 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