2019
DOI: 10.1017/jfm.2019.23
|View full text |Cite
|
Sign up to set email alerts
|

Time-dependent lift and drag on a rigid body in a viscous steady linear flow

Abstract: We compute the leading-order inertial corrections to the instantaneous force acting on a rigid body moving with a time-dependent slip velocity in a linear flow field, assuming that the variation of the undisturbed flow at the body scale is much larger than the slip velocity between the body and the fluid. Motivated by applications to turbulent particleladen flows, we seek a formulation allowing this force to be determined for an arbitrarilyshaped body moving in a general linear flow. We express the equations g… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1

Citation Types

3
45
0

Year Published

2019
2019
2023
2023

Publication Types

Select...
6

Relationship

2
4

Authors

Journals

citations
Cited by 29 publications
(48 citation statements)
references
References 65 publications
3
45
0
Order By: Relevance
“…We expect equation (43) to be accurate for values of Sv much larger than those given by equation (44). This condition is also shown in figure 7, and we see that the large-Sv regime starts at values of Sv approximately satisfying (44).…”
supporting
confidence: 70%
See 3 more Smart Citations
“…We expect equation (43) to be accurate for values of Sv much larger than those given by equation (44). This condition is also shown in figure 7, and we see that the large-Sv regime starts at values of Sv approximately satisfying (44).…”
supporting
confidence: 70%
“…While it is common practice to use steady approximations for the instantaneous force and torque (as we do here) it is not known how to compute contributions to the torque due to unsteadiness for general inhomogeneous flows. We expect that the methods presented in [44] can be generalised to treat at least spatially linear, unsteady flows. Finally, to justify our model for the inertial torque it is necessary that Re p is small.…”
Section: Discussionmentioning
confidence: 99%
See 2 more Smart Citations
“…Even in the simplest case of spherical particles suspended in a turbulent flow, a detailed understanding of their settling properties is only beginning to emerge [3,15,20,33,36]. Clearly, understanding the angular dynamics is essential to describe the settling of non-spherical particles.An exact theoretical description of the problem requires the solution of the full Navier-Stokes equations, imposing no-slip boundary conditions at the surface of the solid [7,22,35]. An alternative, much more tractable approach consists in using simplified descriptions, based on known solutions of the Navier-Stokes equations.…”
mentioning
confidence: 99%