A Chebyshev Spectral Method for the Unsteady Maxwell Oblique Stationary Point Flow on an Axially Cosine Oscillating Cylinder

Abstract

The oblique stationary point flow of the Maxwell fluid impacting an axially cosine oscillating cylinder was studied. Firstly, based on the oblique stationary point flow characteristics, the pressure was corrected with the 2ndorder ordinary differential equation of pressure obtained in the cylindrical coordinate system. Later, the boundary layer model for the unsteady Maxwell fluid on an oscillating cylinder was established. The model was converted through the reasonable similarity transform, and the numerical solutions were obtained with the Chebyshev spectral method. The results show that, the fluid near the surface of the cylinder moves periodically with the cylinder. The larger the curvature of the cylinder is, the higher the velocity of the fluid particle will be in the same position at the same time. In contrast, the unsteady state parameter and the memory properties of the fluid hinder the flow closer to the cylinder wall.