This paper deals with a study on flow of fluid which exhibits the characteristics of both ideal fluids and elastic solid and shows partial elastic recovery. For these types of fluids, Jeffrey six-constant model will be used that illustrates the most striking feature connected with the deformation of a viscoelastic substance and simultaneously displays the fluid-like and solid-like characteristics. The flow of the proposed fluid model will be generated in an inclined tube by sinusoidal wave trains propagation with constant speed along the walls of the tube. The governing equations of the fluid along with energy equation are modeled and simplified by using low Reynolds number and long wavelength assumptions. These equations will be solved by utilizing the homotopy perturbation technique and results of flow will be displayed in graphical form under the effects of Jeffrey model’s parameters.

本文研究的流体流动具有理想流体和弹性固体的特性，并显示出部分弹性回复。对于这些类型的流体，将使用 Jeffrey 六常数模型来说明与粘弹性物质的变形相关的最显着特征，并同时显示类流体和类固体特性。所提出的流体模型的流动将通过正弦波列以恒定速度沿管壁传播而在倾斜管中产生。通过使用低雷诺数和长波长假设，对流体的控制方程和能量方程进行建模和简化。