Calculation of turbulent momentum transfer in a solid phase based on equations for the second and third moments of particle-velocity pulsations

2007 ◽  
Vol 80 (2) ◽  
pp. 273-283
Author(s):  
B. B. Rokhman
1966 ◽  
Vol 33 (3) ◽  
pp. 641-646 ◽  
Author(s):  
R. L. Haugen ◽  
A. M. Dhanak

This paper presents results of an analytical and experimental investigation aimed at describing the turbulent momentum transfer mechanism in the separated-flow region of a rectangular cavity facing an oncoming turbulent boundary layer. A flow model of the mixing region in the slot postulated on the basis of eddy diffusion in free jets gives values of velocities and drag in good agreement with the measurements. The results further point to the significant effects exerted by the oncoming boundary layer on transfer rates from the slot. Flow-visualization pictures show some interesting vortex patterns inside the cavity when height-to-width ratio is varied between values of 1 and 3.


1973 ◽  
Vol 61 (1) ◽  
pp. 173-186 ◽  
Author(s):  
K. Bremhorst ◽  
T. B. Walker

Measurements of the spectral components of turbulent momentum transfer for fully developed pipe flow are presented. The results indicate that near the wall (y+ < 15) two types of momentum transfer processes occur. A net positive transfer takes place in the higher frequency range of the energy-containing part of the turbulence spectrum whereas a net negative transfer returns low momentum to the wall region at the lower end of the spectrum. Examination of the turbulence at various y+ shows that the significant features of the turbulence spectra scale on frequency at any given Reynolds number, thus leading to an interpretation of the flow structure which is consistent with the hydrogen-bubble visualization data of Runstadler, Kline & Reynolds (1963). The results are consistent with a flow model in which disturbances extend from the sublayer to the core of the flow. Recent turbulent heat transfer measurements are also interpreted successfully by this model.


1971 ◽  
Vol 26 (5) ◽  
pp. 685-692 ◽  
Author(s):  
S.G. Dunn ◽  
J.W. Smith

2019 ◽  
Vol 2019 ◽  
pp. 1-21 ◽  
Author(s):  
Jun Xie ◽  
Wenqi Zhong ◽  
Yingjuan Shao ◽  
Kaixi Li

In this paper, a three-dimensional numerical model has been developed to study the process of oxidative weight increment of coal tar pitch in a rotating kiln. Based on the two-fluid method, the gas phase is modeled by realizable k-ε turbulent model and the solid phase is modeled by kinetic theory of granular flow. The dense gas-solid flow, heat transfer, and oxidation reaction for the bed and freeboard regions are simultaneously solved. The model is applied to a rotating kiln with a cylinder of 0.75 m length and 0.4 m diameter in the front and circular truncated cone on exit side. The detailed verification of model is firstly performed by comparisons with the available experimental data. The particle velocity profiles, product gas compositions, and various forms of solid motion in rotary kilns are contrastively analyzed. Afterwards, simulations are carried out to obtain the primary hydrodynamic and reactive characteristics in the rotary kiln. At the steady state, the particle velocity peak is located at the active layer surface, while the velocity has the opposite direction in the passive layer. The bed region generally has a higher temperature than the freeboard due to the large thermal capacity. The concentrations of product gas compositions, such as CO2, CO, and CH4, and solid product of oxidation, increase sharply near the surface and then keep on the steady values inside the bed. The effects of rotational speed of the rotary kiln and flow rate of air are also studied. The increasing rotational speed significantly accelerates the particle movement of the active layer and raises the final oxidative yield of coal pitch spheres. By contrast, increasing the flow rate of air has little effect on the particle motion and oxidation yield of coal pitch.


2019 ◽  
Vol 31 (10) ◽  
pp. 105114
Author(s):  
Mamoru Takahashi ◽  
Koji Iwano ◽  
Yasuhiko Sakai ◽  
Yasumasa Ito

2007 ◽  
Vol 129 (11) ◽  
pp. 1394-1403 ◽  
Author(s):  
Jin Sun ◽  
Francine Battaglia ◽  
Shankar Subramaniam

Simulations of gas-solid fluidized beds have been performed using a hybrid simulation method, which couples the discrete element method (DEM) for particle dynamics with the averaged two-fluid (TF) continuum equations for the gas phase. The coupling between the two phases is modeled using an interphase momentum transfer term. The results of the hybrid TF-DEM simulations are compared to experimental data and TF model simulations. It is found that the TF-DEM simulation is capable of predicting general fluidized bed dynamics, i.e., pressure drop across the bed and bed expansion, which are in agreement with experimental measurements and TF model predictions. Multiparticle contacts and large contact forces distribute in the regions away from bubbles, as demonstrated from the TF-DEM simulation results. The TF-DEM model demonstrates the capability to capture more heterogeneous structural information of the fluidized beds than the TF model alone. The implications to the solid phase constitutive closures for TF models are discussed. However, the TF-DEM simulations depend on the form of the interphase momentum transfer model, which can be computed in terms of averaged or instantaneous particle quantities. Various forms of the interphase momentum transfer model are examined, and simulation results from these models are compared.


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