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Mathematical modeling and simulation for the flow of magneto-Powell-Eyring fluid in an annulus with concentric rotating cylinders
Institution:1. Department of Mathematics, Lovely Professional University, Jalandhar 144 411, India;2. Department of Mathematics, IKG Punjab Technical University, Kapurthala 144 603, India;3. Department of Mathematics, Symbiosis Institute of Technology, Symbiosis International University, Pune 412 115, India;4. School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147 004, India;1. Department of Mathematics, AIR University, Islamabad 44000, Pakistan;2. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;3. Mathematics and its Applications in Life Sciences Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam;4. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam;5. Al-Farabi Kazakh National University, Faculty of mechanics and mathematics, av. al-Farabi 71, Almaty, Kazakhstan;1. Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia;2. Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, 76100 Durian Tunggal, Melaka, Malaysia;3. Department of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca, Romania
Abstract:The rheological fluid flows through concentric rotating cylinders have wide range of applications in many machinary parts such as axles and shafts to spinning projectiles. Whenever, the rotating motion connected with the discs, the proximity of a surface may be remarkably change the structure of the flow. The main purpose of this study is to discuss the motion of Powell-Eyring fluid between two concentric rotating cylinders. We formulated the problem in cylindrical coordinate system with suitable boundary conditions. The existence and uniqueness of the solution for the equation governing the flow is provided with the help of Schauder’s fixed point theorem. The velocity distribution is obtained by Mathematica software. The numerical results are presented for the sundry parameters through graphical representations. It is depicted from our analysis that, the velocity is an increasing function of rotation parameter and Powell-Eyring fluid parameter. The present analysis has wide range of applications in engineering sciences.
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