Analysis of wall mass transfer in turbulent pipe flow combining extended proper orthogonal decomposition and Fukagata-Iwamoto-Kasagi identity

Schlander, Rasmus Korslund; Rigopoulos, Stelios; Papadakis, George

doi:10.1103/physrevfluids.7.024603

Cited by 4 publications

(7 citation statements)

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“…(2007) and Schlander et al. (2022). Figure 4 shows this is also true for the range of and considered in this paper, but with slightly different values of the decay rate .…”

Section: Resolvent Operator Of Turbulent Flow Laden With Low-inertia ...mentioning

confidence: 94%

“…Averaging was taken in time and in both homogeneous directions (axial and azimuthal). Validation of the flow field for Re = 5300 can be found in Schlander et al (2022). Mean and root-mean-square (r.m.s.)…”

Section: Computational Details and Validationmentioning

confidence: 99%

“…The governing equations are solved using our in-house unstructured finite volume solver, Pantarhei; see Mikhaylov, Rigopoulos & Papadakis (2021), Yao, Mollicone & Papadakis (2022), Schlander, Rigopoulos & Papadakis (2022) and Yao & Papadakis (2023). The convection and diffusion terms are discretised using a second-order central approximation.…”

Section: Computational Details and Validationmentioning

confidence: 99%

“…Validation of the flow field for can be found in Schlander et al. (2022). Mean and root-mean-square (r.m.s.)…”

Section: Computational Details and Validationmentioning

confidence: 99%

“…Comparisons of the time-average particle velocity field obtained from (2.5) against the Lagrangian simulations of Ferry, Rani & Balachandar (2003) for a turbulent channel flow at are reported in Schlander et al. (2024). The results match very well for both wall-normal and streamwise velocities for , but differences appear (mainly in the streamwise velocity) for .…”

Section: Computational Details and Validationmentioning

confidence: 99%

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Resolvent analysis of turbulent flow laden with low-inertia particles

Schlander,

Rigopoulos,

Papadakis

2024

J. Fluid Mech.

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We extend the resolvent framework to two-phase flows with low-inertia particles. The particle velocities are modelled using the equilibrium Eulerian model. We analyse the turbulent flow in a vertical pipe with Reynolds number of $5300$ (based on diameter and bulk velocity), for Stokes numbers $St^+=0-1$ , Froude numbers $Fr_z=-4,-0.4,0.4,4$ and $1/Fr_z = 0$ (gravity omitted). The governing equations are written in input–output form and a singular value decomposition is performed on the resolvent operator. As for single-phase flows, the operator is low rank around the critical layer, and the true response can be approximated using one singular vector. Even with a crude forcing model, the formulation can predict physical phenomena observed in Lagrangian simulations, such as particle clustering and gravitational effects. Increasing the Stokes number shifts the predicted concentration spectra to lower wavelengths; this shift also appears in the direct numerical simulation spectra and is due to particle clustering. When gravity is present, there are two critical layers, one for the concentration field, and one for the velocity field. For upward flow, the peak of concentration fluctuations shifts closer to the wall, in agreement with the literature. We explain this with the aid of the different locations of the two critical layers. Finally, the model correctly predicts the interaction of near-wall vortices with particle clusters. Overall, the resolvent operator provides a useful framework to explain and interpret many features observed in Lagrangian simulations. The application of the resolvent framework to higher $St^+$ flows in combination with Lagrangian simulations is also discussed.

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“…(2007) and Schlander et al. (2022). Figure 4 shows this is also true for the range of and considered in this paper, but with slightly different values of the decay rate .…”

Section: Resolvent Operator Of Turbulent Flow Laden With Low-inertia ...mentioning

confidence: 94%

Section: Computational Details and Validationmentioning

confidence: 99%