The development of a new computational scheme for mixed convection with using a scalar potential

使用标量势开发混合对流新计算方案

• 批准号: 60550668
• 负责人: OZOE Hiroyuki
• 金额: $ 1.34万
• 依托单位: Okayama University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1985
• 资助国家: 日本
• 起止时间: 1985 至 1986
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-60550668/
• 关键词: Scalar potential; 混合対流場

Flow fields have been solved either with a primitive variable system or with a vorticity and vector potential system. For the mixed convection, the latter scheme can not be suitally applied. In this work, it is shown that this difficulty can be resolved by introducing a scalar potnetial. This was originally proposed by Hirasaki and Hellums but there appears to be no practical computational results. At the beggining, isothermal two-dimensional through-flow in a square rectangular channel with openings near bottom was solved for Re=81.6. Computed velocity field agreed very well with the results obtained by a classical way of stream function whose gradient is given at the openings for a plug flow. Both solutions agreed in that the relative coefficient is 0.9969. Then this was applied to a two-dimensional mixed convection with heating floor and a cooling vertical wall. The flow field shown in a stream function agreed very well with the experimental streak line in a water box with the same boundary conditions. This computational scheme was also found to be applicable in a three-dimensional field. For a heat storage system two flow modes, a short-cut and a tortours modes were found to be stable depending on the Archimedes number Gr/ <Re^2> .

流场的求解可以采用原始变量系统，也可以采用涡量和矢量势系统。对于混合对流，后一种格式不能适用。在这项工作中，表明这个困难可以通过引入标量势来解决。这最初是由Hirasaki和Hellums提出的，但似乎没有实际的计算结果。开始时，在Re=81.6的条件下，求解方形矩形近底开孔通道内的二维等温通流。计算得到的速度场与经典的流函数计算结果吻合良好，流函数在塞流的开口处给出梯度。两种解的相对系数一致为0.9969。然后将其应用于具有加热地板和冷却垂直壁的二维混合对流。流函数所表示的流场与边界条件相同的水箱中实测条纹线吻合较好。这种计算方法同样适用于三维场。对于储热系统，根据阿基米德数Gr/ <Re^2>，发现了两种稳定的流动模式，即捷径模式和环流模式。

项目成果

Hiroyuki Ozoe: Proc・of World Congress 【III】 of Chemical Engineering. 1. 625-628 (1986)

Hiroyuki Ozoe：化学工程世界大会[III]的Proc·1. 625-628 (1986)。

尾添紘之: 日本機械学会論文集. 52B. 2418-2424 (1986)

Hiroyuki Ozoe：日本机械工程师学会会议记录 52B 2418-2424 (1986)。

Hiroyuki OZOE: "The development of a computational schem using both a scalar and a vector potential" Transactions of the Japan Society of Mechanical Engineers. 52. 2418-2424 (1986)

Hiroyuki OZOE：“使用标量势和矢量势的计算方案的开发”日本机械工程师学会汇刊。

Hiroyuki OZOE: "A numerical study of buoyant flow through a cubical enclosure with openings using a scalr potential" Proceedings of the V orld Congress III of Chemical Engineering. 1. 625-628 (1986)

Hiroyuki OZOE：“使用标量势对通过具有开口的立方体外壳的浮力流进行数值研究”第五届世界化学工程大会第三届会议记录。

尾添紘之: 化学工学協会第19回秋季大会講演論文集. SP203 (1985)

Hiroyuki Ozoe：化学工程师学会第 19 届秋季会议记录 SP203 (1985)。