XIA Sheng-yong, HU Chun-bo. Direct Numerical Simulation of Head-on Binary Collision of Aluminum Oxide Droplets[J]. Applied Mathematics and Mechanics, 2014, 35(4): 377-388. doi: 10.3879/j.issn.1000-0887.2014.04.004
Citation: XIA Sheng-yong, HU Chun-bo. Direct Numerical Simulation of Head-on Binary Collision of Aluminum Oxide Droplets[J]. Applied Mathematics and Mechanics, 2014, 35(4): 377-388. doi: 10.3879/j.issn.1000-0887.2014.04.004

Direct Numerical Simulation of Head-on Binary Collision of Aluminum Oxide Droplets

doi: 10.3879/j.issn.1000-0887.2014.04.004
Funds:  The National Natural Science Foundation of China(50976095)
  • Received Date: 2013-12-06
  • Rev Recd Date: 2014-01-18
  • Publish Date: 2014-04-15
  • Direct numerical simulations of head-on binary collisions between equal-sized aluminum oxide droplets were conducted to investigate the collision physics and mechanics of aluminum oxide droplets in solid rocket motors. Trial simulations of head-on collisions of tetradecane droplets in nitrogen medium were performed firstly to give results in good agreement with those of the previous experiments. After the positive validation of the numerical method, the head-on binary collisions of equal-sized aluminum oxide droplets were numerically computed with various Weber numbers under 6 MPa ambient pressure and 3 387 K ambient temperature. The Weber number ranged from 10 to 200, and the Ohnesorge number kept at 0.036 4, which covered three different types of outcomes: bouncing, coalescence and reflexive separation. The results show that the critical Weber number between bouncing and coalescence after substantial deformation is 26, and the one between coalescence after substantial deformation and reflexive separation is 44. The collision model for aluminum oxide droplets can be obtained through modification of the collision model for other fluid droplets with critical Weber numbers.
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