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 Khashi’ie and Nurul Amira Zainal
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Ahlam Aljabali: Centre for Mathematical Sciences, Universiti Malaysia Pahang, Gambang 26300, Pahang, Malaysia
Abdul Rahman Mohd Kasim: Centre for Mathematical Sciences, Universiti Malaysia Pahang, Gambang 26300, Pahang, Malaysia
Nur Syamilah Arifin: Faculty of Computer and Mathematical Sciences, Universiti Teknologi Mara (UiTM) Cawangan Johor, Kampus Pasir Gudang, Masai 81750, Johor, Malaysia
Noor Amalina Nisa Ariffin: Faculty of Computer and Mathematical Sciences, Universiti Teknologi Mara (UiTM) Cawangan Pahang, Kampus Jengka, Bandar Tun Abdul Razak, Jengka 26400, Pahang, Malaysia
Dennis Ling Chuan Ching: Fundamental and Applied Science Department, Universiti Teknologi Petronas, Seri Iskandar 32610, Perak, Malaysia
Iskandar Waini: Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, Durian Tunggal 76100, Melaka, Malaysia
Najiyah Safwa Khashi’ie: Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, Durian Tunggal 76100, Melaka, Malaysia
Nurul Amira Zainal: Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, Durian Tunggal 76100, Melaka, Malaysia

Mathematics, 2022, vol. 10, issue 17, 1-16

Abstract: 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.

Keywords: dusty Eyring–Powell fluid; Newtonian heating; temperature dependent viscosity; vertical stretching sheet (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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