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Pulsatile flow of an unsteady dusty fluid through rectangular channel
Authors:B.J. Gireesha  C.S. Bagewadi  B.C. Prasannakumar
Affiliation:1. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan;2. Department of Mathematics and Statistics, Riphah International University I-14, Islambad, 44000, Pakistan;3. Mathematical Modelling and Applied Computation Research Group (MMAC), Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia;4. Department of Studies and Research in Mathematics, Davangere University, Davangere, Karnataka, India;5. Future Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section .3, Douliou, Yunlin, 64002, Taiwan, ROC.;1. Department of Information Technology, Fanshawe College London, ON Canada;2. Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan;3. Department of Mathematics, Davanagere University, Davanagere, Karnataka, INDIA;4. Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam;5. Faculty of Electrical – Electronic Engineering, Duy Tan University, Da Nang 550000, Vietnam;6. Mechanical Engineering Department, Faculty of Engineering, Lorestan University, Khorramabad, Iran;1. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan;2. Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, 11991, Prince Sattam bin Abdulaziz University, Saudi Arabia;3. Future Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliou, Yunlin 64002, Taiwan;4. Department of Mathematics and Statistics, Riphah International University I-14, Islambad 44000, Pakistan;5. Department of Studies and Research in Mathematics, Davangere University, Davangere, Karnataka, India;1. Economics and Management School, Nantong University, Nantong 226019, China;2. Jiangsu Yangtze River Economic Belt Research Institute, Nantong University, Nantong 226002, China;3. Department of Studies and Research in Mathematics, Davangere University, Davangere, Karnataka, India;4. Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia;5. Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia;6. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, P.O. Box 83, Al-Kharj 11942, Saudi Arabia;7. Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, Egypt;8. Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan
Abstract:The geometry of laminar flow of an unsteady viscous fluid with uniform distribution of dust particles through a rectangular channel under the influence of pulsatile pressure gradient has been considered. Initially the fluid and dust particles are at rest. The analytical expressions for velocities of fluid and dust particles is obtained by solving the partial differential equations using variable separable method and Laplace transform technique. The skin friction at the boundary plates are also calculated. Finally the changes in the velocity profiles with s and n are shown graphically.
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