Scaling of Gas Diffusion Into Limited Partial Cavities

  • In-ho Lee
    Department of Naval Architecture and Marine Engineering, University of Michigan, 1231 Beal Avenue, 2010 Walter E. Lay Automotive Laboratory, Ann Arbor, MI 48109 e-mail:
  • Simo A. Mäkiharju
    Mem. ASME Department of Naval Architecture and Marine Engineering, University of Michigan, 1085 S. University Avenue, 126B West Hall, Ann Arbor, MI 48109 e-mail:
  • Harish Ganesh
    Department of Mechanical Engineering, University of Michigan, 1231 Beal Avenue, 2010 Walter E. Lay Automotive Laboratory, Ann Arbor, MI 48109 e-mail:
  • Steven L. Ceccio
    Mem. ASME Department of Naval Architecture and Marine Engineering, University of Michigan, 2600 Draper Drive, Naval Architecture and Marine Engineering Building, Ann Arbor, MI 48109 e-mail:

抄録

<jats:p>Bubbles populations in the wake of a partial cavity resulting from gas diffusion were measured to determine the noncondensable gas flux into the cavity. The diffusion rate is related to the dissolved gas content, the local cavity pressure, and the flow within and around the cavity. The measurements are used to revisit various scaling relationships for the gas diffusion, and it is found that traditional scaling that assumes the presence of a gas pocket overpredicts the gas diffusion. A new scaling based on diffusion into the low void fraction bubbly mixture within the partial cavity is proposed, and it is shown to adequately scale the observed production of gas bubbles for dissolved air saturation from 30% to 70% at 1 atm, limited cavities on the order of 0.3–3 cm in length at a freestream speed of 8 m/s (σ = 2.3–3.3 and Reynolds number based on the cavity length of order 105).</jats:p>

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