Abstract
In this paper, we attend to investigate the steady flow of a Newtonian fluid through a sine-curved channel working with the least-square technique of Galerkin’s approach. We implement the whole simulation using Comsol Multiphysics 5.4. To study the fluid flow through this channel, we take the Reynolds numbers in the range from 1000 to 10,000 and amplitude of the sine-curved channel in the range from 10 cm to 30 cm. We examine the flow rate and pressure at the outlet. It is observed that, at the outlet, maximum speed is increasing linearly along the Reynolds number and that the maximum pressure settled a negative relationship with the Reynolds number when increased. It is also determined that due to an increase in the hydraulic jumps, when increasing the amplitude of vibration of the channel, the velocity of flow got fluctuated at the above walls, which also results in a decline in the pressure from the inlet to exit of the channel. Moreover, the several correlations keeping amplitude as constant have been developed for the maximum flow velocity magnitude at the exit of the channel relating to the Reynolds number. These correlations will be definitely used for the future production and comparison for the fluid flow for the curvy channel.
Highlights
In this paper, we attend to investigate the steady flow of a Newtonian fluid through a sine-curved channel working with the leastsquare technique of Galerkin’s approach
The several correlations keeping amplitude as constant have been developed for the maximum flow velocity magnitude at the exit of the channel relating to the Reynolds number. ese correlations will be definitely used for the future production and comparison for the fluid flow for the curvy channel
Fluid flow through the pipes with curvy shapes is considerably complicated as compared to the flow through pipes or rectangular slits. e transportation of urine organized between the bladder and kidney, a stream of the chime in the direction of the small and large intestine, the unforeseen motion of the blood vessels, and crusade of caustic fluid are few applications
Summary
We attend to investigate the steady flow of a Newtonian fluid through a sine-curved channel working with the leastsquare technique of Galerkin’s approach. On implementing the finite element analysis based on COMSOL Multiphysics 5.4 [19] the emerging technology of leastsquare Galerkin’s scheme was implemented, which experienced the fluid flow simulation through the rectangular channel with three screens situated at the middle of the channel with angles in the range from − 45° to 45° degrees. With the implementation of Galerkin’s least-square scheme using the COMSOL Multiphysics 5.4 [20], an air laminar flow was examined through the channel fixed with the three screens situated at inclinations from − 45 to 45 degree. Several linear regression lines [24] for optimum pressure and velocity in the rectangular domain and the drag force due to screen for in terms of the Reynolds number were expressed using the FEM approach with Galerkin’s scheme. Several empirical equations relating to optimum velocity as well as pressure with the Reynolds number are found on the basis of power-law indexes used
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
