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# Study of Activation Energy on the Movement of Gyrotactic Microorganism in a Magnetized Nanofluids Past a Porous Plate

by 4 and 5,6,7,*
1
College of Mathematics and Systems Science, Shandong University of Science & Technology, Qingdao 266590, China
2
College of Astronautics, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China
3
Department of Mathematics, University of Education Lahore, Faisalabad Campus, Faisalabad 38000, Pakistan
4
5
Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
6
Fulbright Fellow Department of Mechanical Engineering, University of California Riverside, Riverside, CA 92521, USA
7
Center for Modeling & Computer Simulation, Research Institute, King Fahd University of Petroleum and Minerals, Dhahran-31261, Saudi Arabia
*
Author to whom correspondence should be addressed.
Processes 2020, 8(3), 328; https://doi.org/10.3390/pr8030328 (registering DOI)
Received: 16 February 2020 / Revised: 2 March 2020 / Accepted: 5 March 2020 / Published: 11 March 2020
The present study deals with the swimming of gyrotactic microorganisms in a nanofluid past a stretched surface. The combined effects of magnetohydrodynamics and porosity are taken into account. The mathematical modeling is based on momentum, energy, nanoparticle concentration, and microorganisms’ equation. A new computational technique, namely successive local linearization method (SLLM), is used to solve nonlinear coupled differential equations. The SLLM algorithm is smooth to establish and employ because this method is based on a simple univariate linearization of nonlinear functions. The numerical efficiency of SLLM is much powerful as it develops a series of equations which can be subsequently solved by reutilizing the data from the solution of one equation in the next one. The convergence was improved through relaxation parameters in the study. The accuracy of SLLM was assured through known methods and convergence analysis. A comparison of the proposed method with the existing literature has also been made and found an excellent agreement. It is worth mentioning that the successive local linearization method was found to be very stable and flexible for resolving the issues of nonlinear magnetic materials processing transport phenomena. View Full-Text
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Bhatti, M.M.; Shahid, A.; Abbas, T.; Alamri, S.Z.; Ellahi, R. Study of Activation Energy on the Movement of Gyrotactic Microorganism in a Magnetized Nanofluids Past a Porous Plate. Processes 2020, 8, 328.