An Advanced Study on Developed Numerical Simulation of Falling and Moving Objects in Viscous Fluids under the Action of a Reynolds Lubrication Theory and Low Reynolds Numbers

The numerical simulations of free body movement in viscous fluid are the subject of the development work. The flow of viscous fluids at low Reynolds numbers plays an important role in many fields of science and engineering, especially in the applied areas of lubrication theory and micro-organism locomotion. The goal is to simulate the small body’s very slow motion in viscous fluid. By searching for numerical solutions for suitable field variables, we produced bodies’ immersed dynamics simulations in viscous fluid. We developed the techniques for the movements of vertically and spherically cylindrical objects, using the Stokes equation via COMSOL Multiphysics finite element software to measure the forces on bodies close to a plane stationary wall from the velocity and pressure fields. The Navier-Stokes equation is reduced to the Stokes equation, there is time independence, which implies that the object can only have an effect on the motion and the assumption of slightly compressible flow is made to obtain numerically a smooth solution. The forces on an object were exerted on the falling objects in a slightly compressible flow of Stokes. Compared with analytical findings from the Reynolds Lubrication Principle, the resulting forces obtained substantial results from the Matlab production method and significant numerical simulations at COMSOL. Furthermore, an investigation was carried out on an object swimming at a low Reynolds number. It is possible to shift the number at low Reynolds when the object size is small and the flow pattern is sluggish and sticky. We have created a thin two-dimensional (2D) worm-like object wiggle device that moves a wave along its centerline and simulates its motion via the Ordinary Differential Equations (ODE) system and the moving mesh technology of the Arbitrary Lagrangian-Eulerian (ALE). The outcome of the creation method shows that it is possible for the tiny object to travel from one location to another through small amplitudes and viscous fluid wavelengths. The methods of development in COMSOL 3.5 Multiphysics with Matlab have performed well enough to obtain a reasonably good solution as needed in our analysis.

Author (s) Details

Seema Paul
Department of Scientific Computing, Royal Institute of Technology, Stockholm, Sweden and Department of Sustainable Development, Environmental Science and Engineering, Royal Institute of Technology, Stockholm, Sweden.

Prof. Jesper Oppelstrup
Department of Scientific Computing, Royal Institute of Technology, Stockholm, Sweden.

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