Melting effect on non-Newtonian fluid flow in gyrotactic microorganism saturated non-darcy porous media with variable fl
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ORIGINAL ARTICLE
Melting effect on non‑Newtonian fluid flow in gyrotactic microorganism saturated non‑darcy porous media with variable fluid properties Nayema Islam Nima1,2 · S. O. Salawu3 · M. Ferdows1 · MD. Shamshuddin4 · Abdulaziz Alsenafi5 · A. Nakayama6 Received: 11 May 2020 / Accepted: 19 June 2020 © King Abdulaziz City for Science and Technology 2020
Abstract This paper deals with the melting effect on steady mixed convection flow of a non-Newtonian fluid containing gyrotatic microorganism along a vertical plate embedded in a saturated non-Darcy porous medium. Variable fluid properties are considered in this paper to describe the variation of permeability, porosity, thermal conductivity which is approximated by an exponential function. The changed non-dimensional governing ordinary differential equations via similarity transformation characterize the flow phenomena subjected to melting surface boundary condition are solved numerically by Matlab bvp4c solver. To analyze the consequences of flow influencing parameters to the flow variables are tabulated and visualized graphically. With increasing non-Darcy and mixed convection parameters velocity profiles decays. Temperature escalates for mixed convection parameter and plunges for melting parameter. Concentration slow down for high melting effect and rises for high Lewis number. Bioconvection Lewis number and Peclet number has an increasing impact on the microorganism profiles. Mixed convection parameters show pronouncing impact on Sherwood number, Nusselt number and motile microorganism density profiles but they decrease mostly for pseudo plastic fluid. Comparisons with prior works show splendid agreement between the results. Keywords Non-newtonian fluid · Bioconvection · Gyrotactic microorganism · Non-darcy medium
Introduction
* M. Ferdows [email protected] 1
Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka 1000, Bangladesh
2
Department of Quantitative Sciences, International University of Business Agriculture and Technology, Dhaka 1230, Bangladesh
3
Department of Physical Science, Mathematics Programme, College of Pure and Applied Sciences, Landmark University, Omu‑aran, Kwara State, Nigeria
4
Department of Mathematics, Vaagdevi College of Engineering (Autonomous), Warangal, Telangana State, India
5
Department of Mathematics, Kuwait University, Kuwait city, Kuwait
6
Department of Mechanical Engineering, Shizuoka University, Shizuoka, Japan
From the perspective of technology and industrial usages, non-Newtonian fluid such as glues, tars, biological solution, polymer and so on are very essential when compared totraditional liquids, such as oil, water and glycol ethylene compound. Non-Newtonian liquids are considered to be strong in heat transfer (Ogunseye et al. 2019; Krishnamurthy et al. 2016; Salawu and Ogunseye 2020). With melting effect, the flow of chemical reaction non-Newtonian liquids accompany with heat dispersion in gyrotactic microorganism nonlinear
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