The dynamic and stationary deformations of a viscoplastic drop in an axisymmetric linear viscous flow is addressed through numerical analyses for a variety of governing parameters. A variation of the integral equation method used by Toose et al. (1996, 1999) is employed. It is demonstrated that a spherical drop embedded in compressional or extensional flow, which provides viscous stresses at the interface strong enough to yield the drop medium, deforms into oblate or prolate shapes, respectively. With the passage of time, the drops attain elongated (in extensional flow) or flattened (in compressional flow) forms. For moderate shear intensity, stable stationary states are established, with either entirely yielded or partially un-yielded flow inside the drop. When the velocity gradients exceed critical values the drop loses its stable shape and continues to deform indefinitely.

通过对各种控制参数进行数值分析，可以解决轴对称线性粘性流中粘塑性液滴的动态和静态变形。Toose等人使用的积分方程方法的一种变化。（1996，1999）被雇用。已经证明，嵌入在压缩流或拉伸流中的球形液滴在变形时分别变形为扁圆形或扁长形，其在界面处提供足以产生液滴介质的粘性应力。随着时间的流逝，液滴的形状逐渐变长（在拉伸流中）或变平（在压缩流中）。对于适度的剪切强度，可建立稳定的稳态，液滴内部将完全屈服或部分未屈服。