A numerical framework for modeling the dynamics of micro-organism movement on Carreau-Yasuda layer

Abstract

Gliding motility often noticed in phylogenetically rod-shaped bacteria which locomote via dissipating their own energy. The said gliding motion via producing waves and secreting slime is generally witnessed in gram-negative bacteria. The influence of Inertia in slime layer beneath glider is also a significant feature to this mechanism. The propulsive microbe pushes the slime backwards, while reactive forces in the slime aids a forward movement of the propeller. Out of several motility modes the complex wavy gliding mechanism is considered here so one can approximate the glider's surface by undulating two-dimensional sheet. Moreover, the non-Newtonian slime beneath the organism is taken as Carreau Yasuda fluid. Following a traditional approach of a fluid flow problem balance of mass and momentum is utilized. The x and y-component of momentum equation is combined and reduced into fourth order DE via lubrication and creeping flow assumption. For suitable values of rheological parameters, swimming gait and some initial values of gliding speed and flow rate, the BVP is solved via MATLAB build in routine bvp-5c. Modified Newton-Raphson algorithm is employed to simulate the unknowns present in the boundary conditions. Power required by the glider, velocity of the slime and level curves are also obtained with the aid of these realistic numerical pairs. The computed results are plotted in the latest available version of MATLAB (2021a) and discusses in detail.

Thermal entry problem for a tube with prescribed heat flux condition using viscoplastic fluid: An extended Graetz problem for Casson fluid with axial conduction and viscous dissipation

“…The widely utilized Homotopy method (OHAM) is applied to obtain the solution, and it is determined that the Casson fluid and normalized slip both increase entropy generation. Some interesting studies related to non‐Newtonian fluids [18–23], Graetz problem [24–38] gliding bacteria [39–42] and robust numerical approaches [43–45] are worthwhile to mention. Motivated by above mention studies, we aim to elaborate on the impact of axial conduction and viscous dissipation on the Graetz problem inside the tube using Casson viscoplastic fluid under imposed heat flux at the wall.…”

Computer Simulation of Heat and Mass Transfer Effects on Nanofluid Flow of Blood Through an Inclined Stenosed Artery With Hall Effect

“…They numerically deployed their models using the Adomian decomposition method. Das et al [25], Kada et al [26] and Asgar et al [27] demonstrated the MHD movement of a three-dimensional Carreau-nanofluid under the effect of different physical situations. The results of this experiment demonstrate that the heat generating parameter raised the nanofluid's temperature.…”

Experimental Study of Roughness Reduction of Large Aqueducts in the Middle Route of the South-to-North Water Diversion Project

“…Motion resistance is an essential fluid characteristic, and its mechanism analysis, simulation, and regulation are widely studied [5][6][7][8][9][10][11]. The method of coating the flow surface with drag-reduction materials to reduce the roughness and enhance protective capabilities was first applied to long-distance oil and gas pipelines, such as the Zeepipe pipeline in Norway [12] and the Alliance pipeline between Canada and the United States [13], both of which were internally coated with epoxy resin.…”