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Effects of magnetic Reynolds number on swimming of gyrotactic microorganisms between rotating circular plates filled with nanofluids |
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| Authors: | Lijun ZHANG M B ARAIN M M BHATTI A ZEESHAN H HAL-SULAMI |
| Institution: | 1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, Shandong Province, China;2. Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan;3. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jaddeh 21589, Saudi Arabia |
| Abstract: | The three-dimensional (3D) nanofluid flow among the rotating circular plates filled with nanoparticles and gyrotactic microorganisms is studied. A generalized form of the magnetic Reynolds number is used for the mathematical modeling of the ferro-nanofluid flow. The torque effects on the lower and upper plates are calculated. A differential transform scheme with the Padé approximation is used to solve the coupled highly nonlinear ordinary differential equations. The results show that the squeeze Reynolds number significantly suppresses the temperature, microorganism, and nanoparticle concentration distribution, and agree well with those obtained by the numerical method. |
| Keywords: | swimming of microorganism generalized magnetic Reynolds number nanofluid differential transform solution circular rotating plate |
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