Similarity considerations for non-Boussinesq plumes in an unstratified environment
Similarity considerations for non-Boussinesq plumes in an unstratified environment
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DOI：
10.1017/s0022112096007100
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发表时间：
1996-07
影响因子：
3.7
通讯作者：
G. Rooney;P. Linden
中科院分区：
文献类型：
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作者：
G. Rooney;P. Linden
本文发展了非Boussinesq气体羽流的相似形式。这是通过获得方程的焓通量守恒，并使用它和连续性方程来证明密度不足的流量是保守的，而不是浮力通量的情况下，Boussinesq羽流。然后，我们用这个守恒关系来描述的形式的相似性解决方案在非Boussinesq的情况下。然后用相似解导出了卷吸速度的理论形式，它与Ricou和Spalding（1961）根据实验经验提出的“修正卷吸假设”相一致。
We develop herein the similarity form of a non-Boussinesq gaseous plume. This is done by obtaining the equation for the conservation of enthalpy flux, and using it and the continuity equation to demonstrate that the flux of density deficiency is conserved, and not the flux of buoyancy as is the case for Boussinesq plumes. We then use this conservation relation to describe the form of the similarity solution in the non-Boussinesq case. The similarity solution is then used to derive the theoretical form of the entrainment velocity across the plume edge, which is seen to be in agreement with the ‘modified entrainment assumption’ suggested empirically from experiments by Ricou & Spalding (1961).