Two-Phase Flow of Eyring–Powell Fluid with Temperature Dependent Viscosity over a Vertical Stretching Sheet
In this work, the mixed convection flow of non-Newtonian Eyring–Powell fluid with the effects of temperature dependent viscosity (TDV) were studied together with the interaction of dust particles under the influence of Newtonian Heating (NH) boundary condition, which assume to move over a vertical s...
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my.ump.umpir.384012023-08-15T07:29:43Z http://umpir.ump.edu.my/id/eprint/38401/ Two-Phase Flow of Eyring–Powell Fluid with Temperature Dependent Viscosity over a Vertical Stretching Sheet Ahlam, Aljabali Abdul Rahman, Mohd Kasim Nur Syamilah, Arifin Noor Amalina Nisa, Ariffin Dennis, Ling Chuan Ching Iskandar, Waini Najiyah Safwa, Khasi’ie Nurul Amira, Zainal QA Mathematics QA75 Electronic computers. Computer science In this work, the mixed convection flow of non-Newtonian Eyring–Powell fluid with the effects of temperature dependent viscosity (TDV) were studied together with the interaction of dust particles under the influence of Newtonian Heating (NH) boundary condition, which assume to move over a vertical stretching sheet. Alternatively, the dusty fluid model was categorized as a two-phase flow that consists of phases of fluid and dust. Through the use of similarity transformations, governing equations of fluid and dust phases are reduced into ordinary differential equations (ODE), then solved by efficient numerical Keller–box method. Numerical solution and asymptotic results for limiting cases will be presented to investigate how the flow develops at the leading edge and its end behaviour. Comparison with the published outputs in literature evidence verified the precision of the present results. Graphical diagrams presenting velocity and temperature profiles (fluid and dust) were conversed for different influential parameters. The effects of skin friction and heat transfer rate were also evaluated. The discovery indicates that the presence of the dust particles have an effect on the fluid motion, which led to a deceleration in the fluid transference. The present flow model can match to the single phase fluid cases if the fluid particle interaction parameter is ignored. The fluid velocity and temperature distributions are always higher than dust particles, besides, the opposite trend between both phases is noticed with β. Meanwhile, both phases share the similar trend in conjunction with the rest factors. Almost all of the temperature profiles are not showing a significant change, since the viscosity of fluid is high, which can be perceived in the figures. Furthermore, the present study extends some theoretical knowledge of two-phase flow. © 2022 by the authors. MDPI 2022 Article PeerReviewed pdf en cc_by_4 http://umpir.ump.edu.my/id/eprint/38401/1/Two-Phase%20Flow%20of%20Eyring%E2%80%93Powell%20Fluid%20with%20Temperature%20Dependent%20Viscosity%20over%20a%20Vertical%20Stretching%20Sheet.pdf Ahlam, Aljabali and Abdul Rahman, Mohd Kasim and Nur Syamilah, Arifin and Noor Amalina Nisa, Ariffin and Dennis, Ling Chuan Ching and Iskandar, Waini and Najiyah Safwa, Khasi’ie and Nurul Amira, Zainal (2022) Two-Phase Flow of Eyring–Powell Fluid with Temperature Dependent Viscosity over a Vertical Stretching Sheet. Mathematics, 10 (3111). ISSN 2227-7390. (Published) https://doi.org/10.3390/math10173111 10.3390/math10173111 |
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QA Mathematics QA75 Electronic computers. Computer science Ahlam, Aljabali Abdul Rahman, Mohd Kasim Nur Syamilah, Arifin Noor Amalina Nisa, Ariffin Dennis, Ling Chuan Ching Iskandar, Waini Najiyah Safwa, Khasi’ie Nurul Amira, Zainal Two-Phase Flow of Eyring–Powell Fluid with Temperature Dependent Viscosity over a Vertical Stretching Sheet |
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In this work, the mixed convection flow of non-Newtonian Eyring–Powell fluid with the effects of temperature dependent viscosity (TDV) were studied together with the interaction of dust particles under the influence of Newtonian Heating (NH) boundary condition, which assume to move over a vertical stretching sheet. Alternatively, the dusty fluid model was categorized as a two-phase flow that consists of phases of fluid and dust. Through the use of similarity transformations, governing equations of fluid and dust phases are reduced into ordinary differential equations (ODE), then solved by efficient numerical Keller–box method. Numerical solution and asymptotic results for limiting cases will be presented to investigate how the flow develops at the leading edge and its end behaviour. Comparison with the published outputs in literature evidence verified the precision of the present results. Graphical diagrams presenting velocity and temperature profiles (fluid and dust) were conversed for different influential parameters. The effects of skin friction and heat transfer rate were also evaluated. The discovery indicates that the presence of the dust particles have an effect on the fluid motion, which led to a deceleration in the fluid transference. The present flow model can match to the single phase fluid cases if the fluid particle interaction parameter is ignored. The fluid velocity and temperature distributions are always higher than dust particles, besides, the opposite trend between both phases is noticed with β. Meanwhile, both phases share the similar trend in conjunction with the rest factors. Almost all of the temperature profiles are not showing a significant change, since the viscosity of fluid is high, which can be perceived in the figures. Furthermore, the present study extends some theoretical knowledge of two-phase flow. © 2022 by the authors. |
| format |
Article |
| author |
Ahlam, Aljabali Abdul Rahman, Mohd Kasim Nur Syamilah, Arifin Noor Amalina Nisa, Ariffin Dennis, Ling Chuan Ching Iskandar, Waini Najiyah Safwa, Khasi’ie Nurul Amira, Zainal |
| author_facet |
Ahlam, Aljabali Abdul Rahman, Mohd Kasim Nur Syamilah, Arifin Noor Amalina Nisa, Ariffin Dennis, Ling Chuan Ching Iskandar, Waini Najiyah Safwa, Khasi’ie Nurul Amira, Zainal |
| author_sort |
Ahlam, Aljabali |
| title |
Two-Phase Flow of Eyring–Powell Fluid with Temperature Dependent Viscosity over a Vertical Stretching Sheet |
| title_short |
Two-Phase Flow of Eyring–Powell Fluid with Temperature Dependent Viscosity over a Vertical Stretching Sheet |
| title_full |
Two-Phase Flow of Eyring–Powell Fluid with Temperature Dependent Viscosity over a Vertical Stretching Sheet |
| title_fullStr |
Two-Phase Flow of Eyring–Powell Fluid with Temperature Dependent Viscosity over a Vertical Stretching Sheet |
| title_full_unstemmed |
Two-Phase Flow of Eyring–Powell Fluid with Temperature Dependent Viscosity over a Vertical Stretching Sheet |
| title_sort |
two-phase flow of eyring–powell fluid with temperature dependent viscosity over a vertical stretching sheet |
| publisher |
MDPI |
| publishDate |
2022 |
| url |
http://umpir.ump.edu.my/id/eprint/38401/1/Two-Phase%20Flow%20of%20Eyring%E2%80%93Powell%20Fluid%20with%20Temperature%20Dependent%20Viscosity%20over%20a%20Vertical%20Stretching%20Sheet.pdf http://umpir.ump.edu.my/id/eprint/38401/ https://doi.org/10.3390/math10173111 |
| _version_ |
1822923652489805824 |
| score |
13.251813 |