On size-dependent wave propagation of flexoelectric nanoshells interacted with internal moving fluid flow

Abstract

In this study, dynamic properties of fluid-conveying flexoelectric cylindrical nanoshells subjected to an electric field are examined throughout the wave propagation approach. Employing nonlocal strain gradient theory (NSGT) and constitutive flexoelectric relations for shell-type structure, a new model has been represented regarding the Love shell theory. Governing motion equations are derived exploiting Hamilton’s principle and are then solved numerically to acquire the wave propagation properties. A discussion on numerical results is then implemented to highlight the exact wave propagation response of the structure against the flexoelectric effect, electric field, flow velocity and external force. The results reveal a remarkable effect of flexoelectricity on wave propagation response especially for some modes in specific wave number domains. As a prominent result, the flexoelectricity effect on wave dispersion response is found more pronounced for second and third modes, compared to the first mode. In addition, this effect is more tangible for lower wave numbers. The applied positive or negative electric and mechanical force exhibits a decreasing or increasing effect on the phase velocity of all the modes. The presented investigation and the reported results may be useful in designing the systems which are benefiting from wave propagation phenomenon properties of cylindrical nanoshells.