Abstract
This article aims to study Newtonian fluid flow modeling and simulation through a rectangular channel embedded in a semicircular cylinder with the range of Reynolds number from 100 to 1500. The fluid is considered as laminar and Newtonian, and the problem is time independent. A numerical procedure of finite element’s least Square technique is implemented through COMSOL multiphysics 5.4. The problem is validated through asymptotic solution governed through the screen boundary condition. The vortex length of the recirculating region formed at the back of the cylinder and orientation of velocity field and pressure will be discussed by three horizontal and four vertical lines along the recirculating region in terms of Reynolds number. It was found that the two vortices of unequal size have appeared and the lengths of these vortices are increased with the increase Reynolds number. Also, the empirical equations through the linear regression procedure were determined for those vortices. The orientation of the velocity magnitude as well as pressure along the lines passing through the center of upper and lower vortices are the same.
Highlights
E literature studies reveal that when the fluid enters the region within a sufficient velocity magnitude and comes into contact with the bluff bodies of any shape, the formation of vortex shedding and recirculating flow is taken place at the back of the observed body. e size of this recirculating region or increasing with the increase in the velocity magnitude by which the fluid comes into the strike with these bluff bodies. ese vortices are attached as well as detached periodically and creating a von Karman vortex region. e fluid which passes through the bodies created the vortices with the negative pressure, which means that, any object presented in the region might be attracted by these vortices
Memon et al [6], with the help of comsol multiphysics 5.4, carried out graphical modeling for the fluid flow via the channel imposed with three screens at angles from–45° to 45° and at unit distance from each other. ey found that drag force is reduced by turning screens from 0 to 45° when moving in counterclockwise direction and the process becomes faster by adding more screens
Applying the finite element method, the Newtonian, laminar, steady-state, and incompressible fluid flow has been observed through the semicircular cylinder. e governing partial differential equation of Navier–Stokes and continuity equations were discretized and simulation was carried by emerging technology COMSOL multiphysics 5.4
Summary
Is article aims to study Newtonian fluid flow modeling and simulation through a rectangular channel embedded in a semicircular cylinder with the range of Reynolds number from 100 to 1500. E fluid is considered as laminar and Newtonian, and the problem is time independent. E vortex length of the recirculating region formed at the back of the cylinder and orientation of velocity field and pressure will be discussed by three horizontal and four vertical lines along the recirculating region in terms of Reynolds number. The empirical equations through the linear regression procedure were determined for those vortices. E orientation of the velocity magnitude as well as pressure along the lines passing through the center of upper and lower vortices are the same The empirical equations through the linear regression procedure were determined for those vortices. e orientation of the velocity magnitude as well as pressure along the lines passing through the center of upper and lower vortices are the same
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