Attenuation of turbulence in a periodic cube by finite-size spherical solid particles

Abstract

To investigate the attenuation of turbulence in a periodic cube due to the addition of spherical solid particles, we conduct direct numerical simulations using an immersed boundary method with resolving flow around each particle. Numerical results with systematically changing particle diameters and Stokes numbers for a fixed volume fraction $\Lambda$ show that the additional energy dissipation rate in the wake of particles determines the degree of the attenuation of turbulent kinetic energy. On the basis of this observation, we propose the formulae describing the condition and degree of the attenuation of turbulence intensity. We conclude that particles with the size proportional to $\lambda /\sqrt{\gamma }$, where $\lambda$ and $\gamma$ are the Taylor length and the mass density ratio between particles and fluid, most significantly reduce the intensity of developed turbulence under the condition that $\gamma$ and $\Lambda$ are fixed.

References in corpus (9)

• An Immersed Boundary Method with Direct Forcing for the Simulation of Particulate Flows
• Turbulent channel flow of dense suspensions of neutrally-buoyant spheres
• Interface-resolved DNS of vertical particulate channel flow in the turbulent regime
• DNS of horizontal open channel flow with finite-size, heavy particles at low solid volume fraction
• Finite-size effects in the dynamics of neutrally buoyant particles in turbulent flow
• The effect of particle density in turbulent channel flow laden with finite size particles in semi-dilute conditions
• Universal Scaling Laws for Dense Particle Suspensions in Turbulent Wall-Bounded Flows
• Clustering and preferential concentration of finite-size particles in forced homogeneous-isotropic turbulence
• Effects of the finite particle size in turbulent wall-bounded flows of dense suspensions

Cited by in corpus (2)

• Finite-size inertial spherical particles in turbulence
• Attenuation mechanism of wall-bounded turbulence by heavy finite-size particles