Slip effects on MHD flow of third order fluid in a planar channel |
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Affiliation: | 1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;2. Department of Mathematics, College of Science, King Saud University, Saudi Arabia;1. Department of Physics, CERN – Theory Division, CH-1211 Geneva 23, Switzerland;2. Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, 80805 München, Germany;3. High Energy Section, The Abdus Salam International Center for Theoretical Physics, Strada Costiera, 11-34014 Trieste, Italy;4. Centre de Physique Théorique (UMR CNRS 7644), Ecole Polytechnique, 91128 Palaiseau, France;1. Institut für Theoretische Physik, Eidgenössische Technische Hochschule Zürich, Wolfgang-Pauli-Strasse 27, 8093 Zürich, Switzerland;2. Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, 2100 Copenhagen Ø, Denmark;3. Institut für Physik und IRIS Adlershof, Humboldt-Universität zu Berlin, Zum Großen Windkanal 6, 12489 Berlin, Germany;1. College of Science, Hunan City University, Yiyang 413000, PR China;2. Department of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, Khandagiri square, Bhubaneswar 751030, Odisha, India;3. Department of Mathematics, College of Engineering Technology, Bhubaneswar, India;4. Department of Physics, College of Basic Science and Humanities, OUAT, Bhubaneswar, Odisha, India;5. Department of Mathematics, Huzhou University, Huzhou 313000, PR China;6. Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan;7. School of Mechanical and Manufacturing Engineering, National University of Sciences and Technology, Islamabad, Pakistan;8. Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia;9. Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan;1. Institute of System Research of Russian Academy of Sciences, Nakhimovsky prospect 36-1, 117218, Moscow, Russia;2. I.E. Tamm Department of Theoretical Physics, Lebedev Physical Institute, Leninsky prospect 53, 119991, Moscow, Russia;1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;2. Department of Mathematics and Sciences, College of Humanities and Sciences, Ajman University, Ajman, United Arab Emirates;3. Department of Mathematics, Faculty of Science, University of Jordon, Amman 11942, Jordan |
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Abstract: | In this paper, the peristaltic flow of magnetohydrodynamic (MHD) third order fluid in a planar channel with slip condition is investigated. The solutions are derived under long wavelength and low Reynolds number approximations. Explicit expressions of stream function, longitudinal pressure gradient, longitudinal velocity, temperature and coefficient of heat transfer are given. The pumping and trapping phenomena are analyzed in the presence of MHD and slip effects. The effects of parameters on temperature distribution and heat transfer coefficient are discussed. A comparison is provided with the different existing cases. |
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