Using eulerlets to model steady uniform flow past a circular cylinder

Chadwick, EA; Christian, J. M.; Chalasani, K

doi:10.1080/17797179.2018.1550960

Cited by 2 publications

(3 citation statements)

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“…A cosine distribution of Eulerlets is considered. Even though the theoretical approach is markedly different, it is equivalent to the description given by Chadwick et al 12 considering a near-field Euler flow matched to a far-field Oseen flow. From this, the following results are then obtained for laminar flow at Reynolds number 26 given in Figure 4, and 36 given in Figure 5.…”

Section: ¿º ê ýòóð × òùñ ö ¾ ò ¿mentioning

confidence: 99%

“…For intermediate Reynolds number at values 26 and 36, the NSlet is approximated by an Eulerlet close to its origin, and an Oseenlet further away. This reduces to the matched method of Chadwick 12 which shows good comparison to experiment. Second, consider uniform flow with Reynoldsy number Re ∼ 10 6 past a slender body whose cross-section is elliptical, and approximate the NSlet by the Eulerlet.…”

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The theory and application of Navier-Stokeslets (NSlets)

Chadwick

2019

Physics of Fluids

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Consider a closed body moving in an unbounded fluid that decays to rest in the far-field and governed by the incompressible Navier-Stokes equations. By considering a translating reference frame, this is equivalent to a uniform flow past the body. A velocity representation is given as an integral distribution of Green's functions of the Navier-Stokes equations which we shall call NSlets. The strength of the NSlets is the same as the force distribution over the body boundary. An expansion for the NSlet is given with the leading-order term being the Oseenlet. To test the theory, the following three two-dimensional steady flow benchmark applications are considered. First, consider uniform flow past a circular cylinder for three cases: low Reynolds number; high Reynolds number; and also intermediate Reynolds numbers at values 26 and 36. These values are chosen because the flow is still steady and hasn't yet become unsteady. For low Reynolds number, approximate the NSlet by the leading order Oseenlet term. For high Reynolds number, approximate the NSlet by the Eulerlet which is the leading order Oseenlet in the high Reynolds number limit. For the intermediate Reynolds numbers, approximate the NSlet by an Eulerlet close to its origin, and an Oseenlet further away. Second, consider uniform flow past a slender body with elliptical cross-section with Reynolds number Re ∼ 10 6 , and approximate the NSlet by the Eulerlet. Finally, consider the Blasius problem of uniform flow past a semi-infinite flat plate and consider the first three terms in the NSlet approximation.

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Section: ¿º ê ýòóð × òùñ ö ¾ ò ¿mentioning

confidence: 99%

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The theory and application of Navier-Stokeslets (NSlets)

Chadwick

2019

Physics of Fluids

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“…He also provided an analytical solution for the Alembert mechanism [5]. Some scholars [6][7][8][9] analyzed single cylinders with Reynolds numbers ranging from Re = 40 to Re = 9500 using various methods. They monitored relevant data such as lift and drag coefficients to determine the influence of different Reynolds numbers on the flow characteristics around the cylinder.…”

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Numerical Simulations of the Flow Field around a Cylindrical Lightning Rod

Guo,

Liu,

Wang

et al. 2024

SDHM

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As an important lightning protection device in substations, lightning rods are susceptible to vibration and potential structural damage under wind loads. In order to understand their vibration mechanism, it is necessary to conduct flow analysis. In this study, numerical simulations of the flow field around a 330 kV cylindrical lightning rod with different diameters were performed using the SST k-ω model. The flow patterns in different segments of the lightning rod at the same reference wind speed (wind speed at a height of 10 m) and the flow patterns in the same segment at different reference wind speeds were investigated. The variations of lift coefficient, drag coefficient, and vorticity distribution were obtained. The results showed that vortex shedding phenomena occurred in all segments of the lightning rod, and the strength of vortex shedding increased with decreasing diameter. The vorticity magnitude and the root mean square magnitudes of the lift coefficient and drag coefficient also increased accordingly. The time history curves of the lift coefficient and drag coefficient on the surface of the lightning rod exhibited sinusoidal patterns with a single dominant frequency. For the same segment, as the wind speed increased in a certain range, the root mean square values of the lift coefficient and drag coefficient decreased, while their dominant frequencies increased. Moreover, there was a proportional relationship between the dominant frequencies of the lift coefficient and drag coefficient. The findings of this study can provide valuable insights for the refined design of lightning rods with similar structures.

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Using eulerlets to model steady uniform flow past a circular cylinder

Cited by 2 publications

References 5 publications

The theory and application of Navier-Stokeslets (NSlets)

The theory and application of Navier-Stokeslets (NSlets)

Numerical Simulations of the Flow Field around a Cylindrical Lightning Rod

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