Reduced and increased flow resistance in shear-dominated flows of Oldroyd-B fluids

We present a comprehensive analytical and numerical study of shear-dominated flows Oldroyd-B fluids. Starting from transient ideal Couette flow, we show that less work is required to increase the shear rate than decrease it. Generalizing this observation non-homogeneous steady flows, reduced flow resistance around streamlines with increasing increased decreasing rate. demonstrate effect in smoothly converging or diverging Poiseuille flows. Finally, observed past cylinder straight channel caused by contraction-expansion-like takes place at sides cylinder. Our findings are validated wide parametric analysis regarding geometrical characteristics domains material parameters model.