On hydromagnetic flow of an Oldroyd-B fluid near a pulsating plate |
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| Authors: | AK Ghosh Pintu Sana |
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| Institution: | 1. Jadavpur University, Kolkata 700032, India;2. Andrew''s High (H.S) School, 33 Gariahat Road(S), Kolkata 700031, India;1. CEFT, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal;2. James Weir Fluids Laboratory, Department of Mechanical and Aerospace Engineering, University of Strathclyde, Glasgow G1 1XJ, UK;1. Faculty of Mathematics and Physics, Charles University in Prague, Sokolovská 83, Praha 8, Karlín CZ 186 75, Czech Republic;2. Texas A&M University, Department of Mechanical Engineering, 3123 TAMU, College Station, TX 77843-3123, USA;1. Geotechnical and Structural Engineering Research Center, Shandong University, Jinan 250061, Shandong, PR China;2. Department of Engineering Mechanics, School of Civil Engineering, Shandong University, Jinan 250061, PR China;3. School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, PR China |
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| Abstract: | An initial value investigation is made of the motion of an incompressible, viscoelastic, conducting Oldroyd-B fluid bounded by an infinite rigid non-conducting plate. The unsteady flow is generated from rest in the fluid due to velocity tooth pulses subjected on the plate in presence of an external magnetic field. It is assumed that no external electric field is acting on the system and the magnetic Reynolds number is very small. The operational method is used to obtain exact solutions for the fluid velocity and the shear stress on the plate. Quantitative analysis of the results are presented with a view to disclose the simultaneous effects of the magnetic field and the fluid elasticity on the flow and the wall shear stress for different periods of pulsation of the plate. It is shown that the classical and hydromagnetic Rayleigh solutions are limiting cases of the present analysis. |
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