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Effect of magnetic and boundary parameters on flow characteristics analysis of micropolar ferrofluid through the shrinking sheet with effective thermal conductivity
Institution:1. Department of Mechanical Engineering, Faculty of Engineering, Tehran North Branch, Islamic Azad University, Tehran, Iran;2. Department of Mechanical Engineering, Babol Noshirvani University of Technology, P.O. Box 484, Babol, Iran;1. Department of Mathematics, Faculty of Basic Sciences University of Wah, Wah Cantt, Pakistan;2. Department of Mathematics, Faculty of Natural Sciences, HITEC University, Taxila Cantt, Pakistan;3. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong, 266590, China;1. Applied & Industrial Mathematics Research Group, Faculty of Industrial Sciences & Technology, Universiti Malaysia Pahang, Pahang, Malaysia;2. College of Engineering, Majmaah University, P.O. Box 66, Majmaah, Saudi Arabia
Abstract:Ferrofluids have many applications in mechanical and electrical engineering. In this paper, characteristics of ferrofluid over a shrinking sheet with effective thermal conductivity model are studied by the homotopy perturbation method (HPM) and Akbari-Ganji's method (AGM). Also, the Finite Element Method (FEM) has been applied for numerical solution. The governing equations formulated by the Tiwari-Das model. It is supposed that base fluid and nanoparticles are water and Fe3O4respectively. Effect of related parameters of micro-rotation velocity and dimensionless velocity have taken for suction and injection of mass transfer parameter. Results show that the magnetic and boundary parameters, in contrast to the micro-rotation parameter, have the same impact on velocity. Moreover, a comparison has been made between the results of this study with other researchers shows the impressive accuracy and efficiency of these methods.
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