Variational bounds on energy dissipation in incompressible flows. III. Convection

1996 ◽  
Vol 53 (6) ◽  
pp. 5957-5981 ◽  
Author(s):  
Charles R. Doering ◽  
Peter Constantin
Keyword(s):  
Energy Dissipation ◽  
Incompressible Flows ◽  
Variational Bounds

Variational bounds on energy dissipation in incompressible flows: Shear flow

1994 ◽  
Vol 49 (5) ◽  
pp. 4087-4099 ◽  
Author(s):  
Charles R. Doering ◽  
Peter Constantin
Keyword(s):  
Energy Dissipation ◽  
Shear Flow ◽  
Incompressible Flows ◽  
Variational Bounds

Investigations of the Hydraulic Characteristics of Stilling Basin with Baffle-Blocks Using an Integrated SPH Method

2019 ◽  
Vol 17 (08) ◽  
pp. 1950051
Author(s):  
X. J. Ma ◽  
Y. L. Yan ◽  
G. Y. Li ◽  
M. Geni ◽  
M. Wang
Keyword(s):  
Energy Dissipation ◽  
Incompressible Flows ◽  
Particle Methods ◽  
Solid Boundary ◽  
Discharge Process ◽  
Sph Method ◽  
Stilling Basin ◽  
Dissipation Effect ◽  
Kernel Gradient Correction ◽  
Baffle Block

The stilling basin has been one of the most powerful hydraulic structures for the dissipation of the flow energy. Meshfree and particle methods have special advantages in modeling incompressible flows with free surfaces. In this paper, an integrated smoothed particle hydrodynamics (SPH) method is developed to model energy dissipation process of stilling basins. The integrated SPH includes the kernel gradient correction (KGC) technique, the dynamic solid boundary treatment, [Formula: see text]-SPH model and density reinitialization. We first conducted the simulations of dam-breaking and hydraulic jump to validate the accuracy of the present method. The present simulation results agree well with the experimental observations and numerical results from other sources. Then the discharge process of stilling basin with baffle-blocks is simulated with the integrated SPH. It is demonstrated that the detailed discharge process can be well captured by this method. The energy dissipation effect of stilling basin could be significantly improved by the baffle-blocks. The structure and position of the baffle-block directly affect the energy dissipation effect, while the height of the baffle-block has big influence on the drainage capacity.

INCOMPRESSIBLE FLOWS THROUGH A SOLID MATRIX WITH MASS EXCHANGE: THE DOUBLE SCALE APPROACH VERSUS MIXTURE THEORY

2011 ◽  
Vol 21 (01) ◽  
pp. 57-88 ◽  
Author(s):  
ANGIOLO FARINA ◽  
ANTONIO FASANO
Keyword(s):  
Energy Dissipation ◽  
Hydraulic Conductivity ◽  
Mass Exchange ◽  
Incompressible Flows ◽  
Mixture Theory ◽  
Porous Matrix ◽  
Macroscopic Model ◽  
Solid Matrix ◽  
Pore Scale

We consider a class of processes in which the flow of an incompressible fluid through a porous matrix is accompanied by a mass exchange between the constituents. This paper is in two parts. In the first part we use an upscaling procedure to derive a macroscopic law for the flow, starting from the analysis of the phenomena at the pore scale. To this end we utilize a simplified geometry of the solid matrix. The resulting governing equation is of Darcy type, as expected, but, owing to mass exchange, it contains a complicated nonlocal dependence on the hydraulic conductivity. In the second part we look directly for the formulation of a macroscopic model in the framework of mixture theory. We emphasize the basic role of energy dissipation: the two methods lead to the same conclusions, provided that the same dissipation rates are postulated.

Energy Dissipation Processes of Singlet Excited 1-Hydroxyfluorenone and its Hydrogen-Bonded Complex with N-Methylimidazole

2004 ◽  
Author(s):  
Krisztina Sebők-Nagy ◽  
László Biczók ◽  
Akimitsu Morimoto ◽  
Tetsuya Shimada ◽  
Haruo Inoue
Keyword(s):  
Energy Dissipation ◽  
Dissipation Processes ◽  
Hydrogen Bonded
Sign in / Sign up

Export Citation Format

Share Document