Effects of magnetic Reynolds number on swimming of gyrotactic microorganisms between rotating circular plates filled with nanofluids

doi:10.1007/s10483-020-2599-7

Abstract

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.

Key words: swimming of microorganism, generalized magnetic Reynolds number, nanofluid, differential transform solution, circular rotating plate

2010 MSC Number:

Lijun ZHANG, M. B. ARAIN, M. M. BHATTI, A. ZEESHAN, H. HAL-SULAMI. Effects of magnetic Reynolds number on swimming of gyrotactic microorganisms between rotating circular plates filled with nanofluids. Applied Mathematics and Mechanics (English Edition), 2020, 41(4): 637-654.

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