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Generalized Crane flows of micropolar fluids
Institution:1. Department of Basic Science, Kermanshah University of Technology, Kermanshah, Iran;2. Department of Engineering Science, Kermanshah University of Technology, Kermanshah, Iran;3. Department of Biomedical Engineering, Faculty of Engineering and Naturel Sciences, Bahçeşehir University, Istanbul 34349, Turkey;1. Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad 44000, Pakistan;2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;1. Young Researchers and Elite Club, Neyshabur Branch, Islamic Azad University, Neyshabur, Iran;2. Mechanical Engineering Department, Babol University of Technology, Babol, Iran;1. Department of Mathematics, Faculty of Natural Sciences, HITEC University Taxila Cantt 47070, Pakistan;2. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000 Pakistan;3. Department of Sciences and Humanities, National University of Computers and Emerging Sciences, 54000, Lahore Pakistan;4. DBS&H, National University of Sciences and Technology, 44000, H-12 Islamabad Pakistan;5. Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar
Abstract:The hydromagnetic flow induced by a continuous stretching surface in a quiescent micropolar fluid is revisited in this Note. It is shown that the problem admits an exact analytical solution for arbitrary differentiable stretching velocities when the surface is permeable and a suitable lateral suction/injection of the fluid is applied. This result generalizes the classical Crane-type solutions which hold for linear stretching velocities only.
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