Abstract
This study numerically investigates the fully developed two-dimensional, steady, viscous, incompressible magnetohydrodynamic fluid flow that passes through a rotating curved duct with an aspect ratio of 3. The curvature of the duct has been taken over a wide range of 0.01 ≤ δ ≤ 0.5. The governing equations are derived from the Navier–Stokes equations, and these equations are transformed into their non-dimensional form by applying usual transformations. The velocity of the flow is influenced by a pressure gradient force (namely, Dean forces) along the axial direction of the curved duct. The flow is also accelerated due to the combined action of the centrifugal and Coriolis forces. The effects of the Dean number, rotation, magnetic, Hall, and ion-slip parameters are examined on that flow. The spectral method is used as the primary tool to calculate the numerical solution, while the Chebyshev polynomial, collocation, and Newton–Raphson methods are used as supporting tools. The arc length method has also been used to calculate the results at any point of the critical zone of the solution curve. The main focal point of this paper is to investigate the effect of the magnetic parameter, Hall parameter, and ion-slip parameter on the flow characteristics in the rotational curve duct with a comparatively large aspect ratio. There are symmetric 2-, 4-, up to 12-vortex solutions that have been found for the streamlines of the secondary flow. In contrast, 1-, 2-, up to uncountable contour plots have been found for the axial flow. Specifically, asymmetric flow structures have been found for a small curvature and large Dean number.
Highlights
The study of fluid flow in a curved duct is of great importance due to its engineering application
This study numerically investigates the fully developed two-dimensional, steady, viscous, incompressible magnetohydrodynamic fluid flow that passes through a rotating curved duct with an aspect ratio of 3
The spectral method is used as the primary tool to calculate the numerical solution, while the Chebyshev polynomial, collocation, and Newton–Raphson methods are used as supporting tools
Summary
The study of fluid flow in a curved duct is of great importance due to its engineering application. Wang and Yang analyzed the fully developed free and forced convection flow experimentally and numerically through a rotating curved duct with a square cross section. Wang and Liu investigated the effects of curvature, stability, instability, and the structure of fully developed bifurcation of forced convection flow in a curved square duct of a micro-channel with a small curvature ratio 5 × 10−6. Li et al. experimentally and numerically studied the fully developed 3D flow in a curved rectangular duct with a spiral line, double circular line, and involute line curvature They have discussed the effects of the Reynolds number, aspect ratio briefly, and several curvatures on Dean instability to accurately determine the core of the secondary base vortices
Sign-in/Register to view highlights & summary 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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
