Stagnation point flow and heat transfer over a non-linearly moving flat plate in a parallel free stream with slip |
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| Institution: | 1. Department of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, R-400084 Cluj-Napoca, Romania;2. Department of Statistics, Forecasts and Mathematics, Faculty of Economics and Business Administration, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania;1. School of Automation, Nanjing University of Science and Technology, Jiangsu 210094, PR China;2. School of Electronics and Information, Nantong University, Jiangsu 226019, PR China;1. School of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, PR China;2. School of Energy and Engineering, Dalian University of Technology, Dalian, Liaoning 116024, PR China;3. School of Environmental and Biological Science and Technology, Dalian University of Technology, Dalian, Liaoning 116012, PR China;1. University of Central Florida, Department of Mathematics, 4000 Central Florida Blvd., Orlando, USA;2. University of Palermo, Department of Mathematics and Computer Science, Via Archirafi 34, 90123 Palermo, Italy;1. Department of Electrical Engineering, Indian Institute of Technology, Kharagpur 721302, India;2. Advanced Technological Development Centre, Indian Institute of Technology, Kharagpur 721302, India;1. Institute of New Type Optoelectronic Materials and Technology, Guizhou University, Guiyang, Guizhou 550025, PR China;2. Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, PR China;3. School of Mathematics and Computer Science, Guizhou Normal College, Guiyang, Guizhou 550018, PR China;4. Department of Mathematics, Xiangnan University, Chenzhou, Hunan 423000, PR China |
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| Abstract: | An analysis is presented for the steady boundary layer flow and heat transfer of a viscous and incompressible fluid in the stagnation point towards a non-linearly moving flat plate in a parallel free stream with a partial slip velocity. The governing partial differential equations are converted into nonlinear ordinary differential equations by a similarity transformation, which are then solved numerically using the function bvp4c from Matlab for different values of the governing parameters. Dual (upper and lower branch) solutions are found to exist for certain parameters. Particular attention is given to deriving numerical results for the critical/turning points which determine the range of existence of the dual solutions. A stability analysis has been also performed to show that the upper branch solutions are stable and physically realizable, while the lower branch solutions are not stable and, therefore, not physically possible. |
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| Keywords: | Boundary layer Non-linear moving flat plate Parallel free stream Slip effects |
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