Numerical analysis of the flow and heat transfer of a power-law fluid over a rotating disk
-
摘要: 針對非牛頓冪律流體在無限大旋轉圓盤上層流邊界層內三維流動與傳熱問題,在普朗特數為常數的條件下,利用廣義Karman相似變換,將連續方程、動量方程及能量方程形成的偏微分方程組化成常微分方程組,再采用多重打靶法數值求解非線性兩點邊值問題.分別針對剪薄型流體、牛頓流體和剪厚型流體,得到不同冪律指標下的速度和溫度分布及不同普朗特數下溫度場的結果.結果表明徑向速度分量的峰值隨冪律指標的增大而增大,軸向速度受邊界層厚度的影響較突出,盤表面的傳熱隨冪律指標和普朗特數都呈現遞增趨勢.最后將本文流場結果與Andersson等在不考慮傳熱情況下的結果進行比較表明吻合性較好.Abstract: The three-dimensional steady laminar flow of an incompressible non-Newtonian power-law fluid over a rotating infinite disk with heat transfer was studied. The governing partial differential equations, including the continuity equation, the momentum equation and the energy equation, were transformed to ordinary differential equations by utilizing the generalized Karman similarity transformation. The corresponding nonlinear two-point boundary value problem was solved by the multi-shooting method. Numerical re-sults were obtained for the shear-thinning fluid, the Newtonian fluid and the shear-thickening fluid. It is shown that the power-law character index and the Prandtl number affect the velocities in all directions and the temperature of the fluid in the boundary layer. The results are compared with those of Andersson et al. without considering heat transfer.
-
Key words:
- non-Newtonian fluids /
- rotating disks /
- swirling flow /
- heat transfer /
- similarity transformation /
- numerical analysis
-

計量
- 文章訪問數: 94
- HTML全文瀏覽量: 33
- PDF下載量: 5
- 被引次數: 0