Viscoplastic fluid flow modeling with the “solidification” effect in the straight channel of the annular cross section

Abstract

On the basis of the viscoplastic fluid rheological model, which takes into account the manifestation of the “solidification” effect, a flow has been simulated in the annular cross section channel. It is shown that, depending on the pressure drop level, three different flow patterns are possible. For each pattern, the expressions that determine the fluid velocity distribution in the channel’s cross section have been obtained. It is shown that the dependence of the volume fluid flow rate on the pressure drop is not monotonic. Moreover, the increase in the pressure drop critical level ultimately leads to the flow rate decrease due to the narrowing of the channel’s passage section, which is caused by the formation of the “solidified” liquid layers.