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Dual solutions on MHD radiative three-dimensional bidirectional nanofluid flow over a non-linearly permeable shrinking sheet

The bidirectional flow and thermal transfer of magnetohydrodynamics (MHD) and radiative nanofluid (magnetite-vacuum pump oil) due to a nonlinear shrinking surface in a three dimensional system is studied. The boundary layer model is first transformed into a set of ordinary differential equations usi...

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Main Authors: Pop, Ioan, Khashi’ie, Najiyah Safwa, Roșca, Natalia C., Roșca, Alin V.
Format: Article
Language:English
Published: Elsevier B.V. 2023
Online Access:http://eprints.utem.edu.my/id/eprint/27499/2/0220828072023.PDF
http://eprints.utem.edu.my/id/eprint/27499/
https://www.sciencedirect.com/science/article/pii/S1110016823002363
https://doi.org/10.1016/j.aej.2023.03.066
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spelling my.utem.eprints.274992024-07-04T12:00:00Z http://eprints.utem.edu.my/id/eprint/27499/ Dual solutions on MHD radiative three-dimensional bidirectional nanofluid flow over a non-linearly permeable shrinking sheet Pop, Ioan Khashi’ie, Najiyah Safwa Roșca, Natalia C. Roșca, Alin V. The bidirectional flow and thermal transfer of magnetohydrodynamics (MHD) and radiative nanofluid (magnetite-vacuum pump oil) due to a nonlinear shrinking surface in a three dimensional system is studied. The boundary layer model is first transformed into a set of ordinary differential equations using the similarity transformations, and then solved using the bvp4c solver. The accuracy of the present model is justified by comparing present data with the numerical values from the published findings. The effect of factors (magnetic parameter, radiation parameter and nanoparticles volumetric concentration) on the development of responses (skin friction coefficient and thermal rate) and critical value (separation value from laminar to turbulent flow) is observed through the graphical presentation. In addition, two solutions are attained where the first solution is affirmed as the reliable solution through stability analysis. Conclusively, the suction effect is necessary in generating the solutions under the phenomenon of opposing shrinking flow. The addition of magnetic parameter and nanoparticles concentration can enhance both responses as well as the critical value while the radiation parameter tends to reduce the heat transfer coefficient. The types of stretching/shrinking velocity (linear/nonlinear) also affect the heat transfer rate. The critical value can be extended by using the linear velocity, but, for thermal enhancement, the nonlinear form of velocity can significantly develop the thermal rate better than the linear shrinking surface. Elsevier B.V. 2023-05 Article PeerReviewed text en http://eprints.utem.edu.my/id/eprint/27499/2/0220828072023.PDF Pop, Ioan and Khashi’ie, Najiyah Safwa and Roșca, Natalia C. and Roșca, Alin V. (2023) Dual solutions on MHD radiative three-dimensional bidirectional nanofluid flow over a non-linearly permeable shrinking sheet. Alexandria Engineering Journal, 71. pp. 401-411. ISSN 1110-0168 https://www.sciencedirect.com/science/article/pii/S1110016823002363 https://doi.org/10.1016/j.aej.2023.03.066
institution Universiti Teknikal Malaysia Melaka
building UTEM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknikal Malaysia Melaka
content_source UTEM Institutional Repository
url_provider http://eprints.utem.edu.my/
language English
description The bidirectional flow and thermal transfer of magnetohydrodynamics (MHD) and radiative nanofluid (magnetite-vacuum pump oil) due to a nonlinear shrinking surface in a three dimensional system is studied. The boundary layer model is first transformed into a set of ordinary differential equations using the similarity transformations, and then solved using the bvp4c solver. The accuracy of the present model is justified by comparing present data with the numerical values from the published findings. The effect of factors (magnetic parameter, radiation parameter and nanoparticles volumetric concentration) on the development of responses (skin friction coefficient and thermal rate) and critical value (separation value from laminar to turbulent flow) is observed through the graphical presentation. In addition, two solutions are attained where the first solution is affirmed as the reliable solution through stability analysis. Conclusively, the suction effect is necessary in generating the solutions under the phenomenon of opposing shrinking flow. The addition of magnetic parameter and nanoparticles concentration can enhance both responses as well as the critical value while the radiation parameter tends to reduce the heat transfer coefficient. The types of stretching/shrinking velocity (linear/nonlinear) also affect the heat transfer rate. The critical value can be extended by using the linear velocity, but, for thermal enhancement, the nonlinear form of velocity can significantly develop the thermal rate better than the linear shrinking surface.
format Article
author Pop, Ioan
Khashi’ie, Najiyah Safwa
Roșca, Natalia C.
Roșca, Alin V.
spellingShingle Pop, Ioan
Khashi’ie, Najiyah Safwa
Roșca, Natalia C.
Roșca, Alin V.
Dual solutions on MHD radiative three-dimensional bidirectional nanofluid flow over a non-linearly permeable shrinking sheet
author_facet Pop, Ioan
Khashi’ie, Najiyah Safwa
Roșca, Natalia C.
Roșca, Alin V.
author_sort Pop, Ioan
title Dual solutions on MHD radiative three-dimensional bidirectional nanofluid flow over a non-linearly permeable shrinking sheet
title_short Dual solutions on MHD radiative three-dimensional bidirectional nanofluid flow over a non-linearly permeable shrinking sheet
title_full Dual solutions on MHD radiative three-dimensional bidirectional nanofluid flow over a non-linearly permeable shrinking sheet
title_fullStr Dual solutions on MHD radiative three-dimensional bidirectional nanofluid flow over a non-linearly permeable shrinking sheet
title_full_unstemmed Dual solutions on MHD radiative three-dimensional bidirectional nanofluid flow over a non-linearly permeable shrinking sheet
title_sort dual solutions on mhd radiative three-dimensional bidirectional nanofluid flow over a non-linearly permeable shrinking sheet
publisher Elsevier B.V.
publishDate 2023
url http://eprints.utem.edu.my/id/eprint/27499/2/0220828072023.PDF
http://eprints.utem.edu.my/id/eprint/27499/
https://www.sciencedirect.com/science/article/pii/S1110016823002363
https://doi.org/10.1016/j.aej.2023.03.066
_version_ 1804070323818070016
score 13.244745

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