Abstract
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.
Highlights
Recent betterments in nanotechnology arose through the investigation of the physical characteristics of matter at the nanoscale level
The self-impelled motile microorganisms enhanced the density of the base fluid in a self-propelled, and their movement is through the thermophoresis and Brownian motion, impacting peculiar way to produce a bio-convection kind of stream
[48]and examined nanofluid bio-convection into a suspension of gyrotactic microorganisms through a layer of finite depth. This causedconvection by gyrotactic-microorganisms and they perceived that the microorganisms amplify the base-fluid conception was extended by Kuznetsov and Geng [46] to numerous bio-convection problems
Summary
Recent betterments in nanotechnology arose through the investigation of the physical characteristics of matter at the nanoscale level. Fluid inThe a peculiar way to EOR is a new technological process for gas and oil production and enhancing oil restoration This produce a bio-convection kind of stream. The self-impelled motile microorganisms enhanced the density of the base fluid in a self-propelled, and their movement is through the thermophoresis and Brownian motion, impacting peculiar way to produce a bio-convection kind of stream. Khan and Makinde [48]and examined nanofluid bio-convection into a suspension of gyrotactic microorganisms through a layer of finite depth This causedconvection by gyrotactic-microorganisms and they perceived that the microorganisms amplify the base-fluid conception was extended by Kuznetsov and Geng [46] to numerous bio-convection problems. Fluid comprising of nanoparticles motile gyrotacticmicroorganisms microorganisms, flowing a stretchable intention of the current analysis is to examine the impact of an activation energy on permeableThe sheet, by employing a successive local linearization method [52,53]. Comparability with previous investigations is provided for the validity of the current results
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