caa a22 4500 445360577 CHVBK 20180317142914.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s11071-010-9853-9 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9853-9 Mechanism on lateral distribution of small bubbles invertical bubbly upflows [Elektronische Daten] [Mingjun Pang, Jinjia Wei, Bo Yu] The void fraction profile and distributing mechanism of small bubbles were investigated in detail by using the Euler-Lagrange two-way model. The continuous phase is simulated by using direct numerical simulations in Euler frame of reference. Bubble trajectories are tracked by solving the Newton equations of motion with considering forces including gravity force (buoyant force), drag force, lift force, wall lift force, pressure gradient force, virtual mass force, and inertia force in Lagrange frame of reference. Results show that the void fraction profile of small bubbles exhibits double peak values, which is caused by different interphase forces dominating over bubble movements at different bubble places, and paths of bubbles are directly related to their injection places. Springer Science+Business Media B.V., 2010 Phase distribution nationallicence Bubbly flows nationallicence Small bubbles nationallicence DNS nationallicence C D : drag coefficient nationallicence C LF : Saffman lift coefficient nationallicence C v : added mass coefficient nationallicence d b : bubble diameter, m nationallicence $f^{*}_{i}$ : local interphase force, N nationallicence Fr : Froude number, $\mathit{Fr}=u_{\tau}/\sqrt{gh}$ nationallicence g : gravity acceleration, N/kg nationallicence h : height of half channel nationallicence M : bubble amount nationallicence p +∗ : fluctuating pressure, Pa nationallicence Re b : bubbles Reynolds number, Re b=|u f−u b|d b/νf nationallicence Sr b : non-dimensional shear rate, Sr b=|ω|d b/2|u f−u b| nationallicence Re τ : friction Reynolds number, Re τ=u τ h/νf nationallicence t : time, s nationallicence u b : bubble velocity, m/s nationallicence u f : liquids velocity, m/s nationallicence u τ : friction velocity, m/s nationallicence x : coordinate in the streamwise direction nationallicence − x ∗ : average pressure, Pa nationallicence y : coordinate in the wall-normal direction nationallicence y b : distance between the bubble and the wall, m nationallicence z : coordinate in the spanwise direction nationallicence Pang Mingjun State Key Laboratory of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, 710049, Xi'an, China aut Wei Jinjia State Key Laboratory of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, 710049, Xi'an, China aut Yu Bo Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, 102249, Beijing, China aut Nonlinear Dynamics Springer Netherlands 64/1-2(2011-04-01), 147-156 0924-090X 64:1-2<147 2011 64 11071 https://doi.org/10.1007/s11071-010-9853-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9853-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Pang Mingjun State Key Laboratory of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, 710049, Xi'an, China aut NATIONALLICENCE 700 1- Wei Jinjia State Key Laboratory of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, 710049, Xi'an, China aut NATIONALLICENCE 700 1- Yu Bo Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, 102249, Beijing, China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 64/1-2(2011-04-01), 147-156 0924-090X 64:1-2<147 2011 64 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer