Numerical Solutions of Incompressible Viscous Flows in a Double-Lid-Driven Cavity

Karmakar, Hemanta; Pandit, Swapan K.

doi:10.1007/978-81-322-2547-8_23

Cited by 5 publications

(2 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The present algorithm for the solution of the Navier Stokes in the presence of moving top and bottom walls was validated through comparison with analogous results available in the literature (well-defined benchmarks). In particular we have considered the simulations performed for the classical two-sided lid-driven square cavity (case with antiparallel wall motion and constant imposed velocity) by Perumal and Dass (2008) and Karmakar and Pandit (2015) and a representative value of the Reynolds number (Re=10 3 , see Figs. 2-3).…”

Section: Validationmentioning

confidence: 99%

Time reversibility and non-deterministic behaviour in oscillatorily sheared suspensions of non-interacting particles at high Reynolds numbers

Lappa

2019

Computers & Fluids

View full text Add to dashboard Cite

Collections of inertial particles suspended in a viscous fluid and subjected to oscillatory shear have recently attracted much attention due to their relevance to a number of industrial applications and natural phenomena. It is known that, even at very low values of the flow Reynolds number, particle-to-particle interactions can lead to complex chaotic displacements despite the reversibility of the overarching fluid-dynamics (Stokes) equations. For high-Re flows, the loss of predictability after a finite time horizon is generically ascribed to the non-linear nature of the Navier-Stokes equations. Where the sources of nonlinearity are located exactly and how they influence the motion of particles, however, has not been clarified yet. We show that assuming particle interactions to be negligible, surprisingly, at high values of the Reynolds number the major source of non-deterministic behaviour comes from effects of stationary nature in the carrier flow. We report numerical simulations showing precisely how for geometries of finite extent such stationary effects emerge as the time-averaged non-linear response of the Navier-Stokes equations to the applied oscillatory forcing. They cause small deviations of the inertial particle's trajectory from the streamlines of the instantaneous oscillatory flow, which accumulate in time until the system behaviour becomes essentially non reversible. Nomenclature A cavity aspect ratio d cavity thickness [m] M Cycles of modulation p Nondimensional pressure R solid particle radius [m] Re Reynolds number

show abstract

Section: Validationmentioning

confidence: 99%

Time reversibility and non-deterministic behaviour in oscillatorily sheared suspensions of non-interacting particles at high Reynolds numbers

Lappa

2019

Computers & Fluids

View full text Add to dashboard Cite

show abstract

“…However, the antiparallel wall motion showed small secondary vortex formed in the vicinity of Re=5000. Numerical study of the flow in a two-sided lid-driven square cavity via using a time-dependent compact scheme with stream-function velocity formulation has been investigated by Karmakar and Pandit [37]. For parallel and antiparallel motion of the two facing walls, different vortex structures and free shear layers were revealed at different time stations when Reynolds number is equal to 1000.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis and explore of asymmetrical fluid flow in a two-sided lid-driven cavity

Azzouz¹,

Houat²

2020

JMES

View full text Add to dashboard Cite

The two-dimensional asymmetrical flow in a two-sided lid-driven square cavity is numerically analyzed by the finite volume method (FVM). The top and bottom walls slide in parallel and antiparallel motions with various velocity ratio (UT/Ub=λ) where |λ|=2, 4, 8, and 10. In this study, the Reynolds number Re1 = 200, 400, 800 and 1000 is applied for the upper side and Re2 = 100 constant on the lower side. The numerical results are presented in terms of streamlines, vorticity contours and velocity profiles. These results reveal the effect of varying the velocity ratio and consequently the Reynolds ratio on the flow behaviour and fluid characteristics inside the cavity. Unlike conventional symmetrical driven flows, asymmetrical flow patterns and velocity distributions distinct the bulk of the cavity with the rising Reynolds ratio. For λ>2, in addition to the main vortex, the parallel motion of the walls induces two secondary vortices near the bottom cavity corners. however, the antiparallel motion generates two secondary vortices on the bottom right corner. The parallel flow proves affected considerably compared to the antiparallel flow.

show abstract

Motion of a neutrally buoyant circular particle in a clockwise double-lid-driven square cavity

2020

Physics of Fluids

View full text Add to dashboard Cite

The motion of a neutrally buoyant circular particle in a clockwise double-lid-driven square cavity is studied with the lattice Boltzmann method. To understand, predict, and control the motion of the circular particle, the effect of the initial position, particle size, and Reynolds number is studied. The center of the square cavity is a fixed point, where the circular particle remains stationary all the time; otherwise, the circular particle is stabilized at the limit cycle, which is created by the inertia of the circular particle, confinement of the boundaries of the square cavity, and vortex behavior. The effect of the particle size on the motion of the circular particle is obvious, with the increase in the particle size, the confinement of the boundaries becomes stronger, and the limit cycle shrinks toward the center of the square cavity. With the increase in the Reynolds number, the fluid flow becomes stronger, two symmetric secondary vortices at the top left and bottom right corners develop, and the limit cycle is squashed along the leading diagonal of the square cavity.

show abstract

Numerical Solutions of Incompressible Viscous Flows in a Double-Lid-Driven Cavity

Cited by 5 publications

References 6 publications

Time reversibility and non-deterministic behaviour in oscillatorily sheared suspensions of non-interacting particles at high Reynolds numbers

Time reversibility and non-deterministic behaviour in oscillatorily sheared suspensions of non-interacting particles at high Reynolds numbers

Numerical analysis and explore of asymmetrical fluid flow in a two-sided lid-driven cavity

Motion of a neutrally buoyant circular particle in a clockwise double-lid-driven square cavity

Contact Info

Product

Resources

About