Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 74, Issue 2 (2020) 196-209 196 Journal of Advanced Research in Fluid Mechanics and Thermal Sciences Journal homepage: www.akademiabaru.com/arfmts.html ISSN: 2289-7879 Jeffrey Fluid Embedded with Dust Particles over a Shrinking Sheet: A Numerical Investigation Nur Syamilah Arifin 2 , Syazwani Mohd Zokri 3 , Abdul Rahman Mohd Kasim 1,* , Mohd Zuki Salleh 1 , Noor Amalina Nisa Arifin 1 1 Centre for Mathematical Sciences, Universiti Malaysia Pahang, 26300, Lebuhraya Tun Razak, UMP Gambang, Pahang, Malaysia 2 Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA (UiTM), Cawangan Johor, Kampus Pasir Gudang, 81750, Masai, Johor, Malaysia 3 Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA (UiTM), Cawangan Kuala Terengganu, Kampus Kuala Terengganu, 21080 Kuala Terengganu, Malaysia ARTICLE INFO ABSTRACT Article history: Received 23 March 2020 Received in revised form 15 June 2020 Accepted 20 June 2020 Available online 15 August 2020 This study examines the flow behaviour of Jeffrey fluid together with uniform distribution of dust particles that moves over the vertical shrinking sheet. This intriguing mixture employs the two-phase model which mathematically describes the characteristic of both fluid and solid particles in a flow system by a set of partial differential equations. A convenient form of these equations is expressed in the form of ordinary differential equations through the use of similarity transformation and can subsequently be solved by applying the Keller-box method. Numerical solutions for several influencing parameters, namely suction, fluid-particle interaction, magnetic field and aligned angle on the flow and temperature fields of the two components (fluid and dust particles) are presented in graph form. In addition, the results of skin friction coefficient and Nusselt number at surface of sheet are summarized in the table and analysed in details. It is found that, the velocity and temperature profiles of fluid and dust phases show a similar behaviour in response to all involved parameters except for fluid-particle interaction parameter, respectively. Keywords: Two-phase flow; Dusty Jeffrey fluid; Shrinking sheet; Aligned magnetic field Copyright © 2020 PENERBIT AKADEMIA BARU - All rights reserved 1. Introduction The study of boundary layer flow and heat transfer over a continuously moving surface has been motivated due to the increasing applications in manufacturing industry [1-2]. Few examples of such productions that frequently encountered in our daily life include glass blowing, hot rolling, polymer, metal sheet, wire drawing, cooling of a large metallic plate in a bath and spinning of fibers. In connection to this, the theoretical investigations on the flow problem of fluid induced by stretching and shrinking sheets under dissimilar conditions have been expanded in literature vastly. Sakiadis [3] * Corresponding author. E-mail address: rahmanmohd@ump.edu.my https://doi.org/10.37934/arfmts.74.2.196209 Open Access brought to you by CORE View metadata, citation and similar papers at core.ac.uk provided by UMP Institutional Repository