• 作者： Chen, Tsung-Yu; Keh, Huan-Jang
• 中文摘要： 本文求得剛性或線性彈性啞鈴型巨分子在一組非線性直線流動稀溶液中之空間分布函數,其結果在與線性均勻流動或二次流動相較下,顯示出不同次之剪率不均勻度可顯著地改變啞鈴型巨分子之分布函數。基於所求得之空間分布函數,吾人計算出啞鈴型巨分子在溶液中之平均滑動速度與應力頁獻。在三次直線流動時,彈性與剛性啞鈴模型皆預測出溶液黏度與第一正向應力係數之剪率減低效應。對於一剛性啞鈴型巨分子溶液,吾人發現第二正向應力係數為一負值,其大小隨著剪率之增加而下降,且遠較第一正向應力係數為小。
• 英文摘要： The configurational distribution function of dumbbell macromolecules (rigid and linearly elastic) in a group of nonlinear rectilinear flows of dilute solution is obtained. It is shown that, compared to linear (homogeneous) and quadratic flow results, the shear-rate inhomogeneity of various orders can alter the distribution function of dumbbells in a significant way. Based on these configurational distribution functions, the mean slip velocities and stress contributions of the dumbbells are computed. Both elastic and rigid dumbbell models predict the shear thinning effect of the viscosity coefficient and the primary normal stress coefficient of the suspension in the third-order rectilinear flow. For a suspension of rigid dumbbells, the secondary normal stress coefficient is a negatie value whose magnitude decreases with the increase of shear rate and is much smaller than the primary normal stress coefficient.
• 中文關鍵字： 啞鈴模式; 不均勻流動; 流動性質; 滑行速度
• 英文關鍵字： Dumbbell Models; Nonhomogeneous Flows; Rheological Properties; Slip Velocity