Surface Wave Propagation at the Interface between an Inviscid Liquid Layer and a rotating Micropolar Elastic Solid with Stretch

Authors

• Somaiah Kamidi, Department of Mathematics, University College, Kakatiya University, Warangak, Telangana 506009, IndiaFollow
• Narsimharao Kandula, Department of Mathematics, Government Degree College, Maripeda, Mahabubabad, Telangana 506315, IndiaFollow
• Venkateswara Rao Burugu, Department of Mathematics, JVR Government Degree College, Sathupally, Khammam, Telangana 507303, IndiaFollow
• Gaddam Rajkumar, Department of Mathematics, Vaagdevi College of Engineering, Bollikunta,Warangal, Telangana 506005, IndiaFollow
• Srinivas Remidi, Science and Mathematics Unit, Department of Supportive Requirements University of Technology and Applied Science-Nizwa, Nizwa 611, OmanFollow

Abstract

This article investigates the impact of angular rotation on surface-wave propagation at the interface between an inviscid liquid layer and a rotating micropolar elastic solid with stretch. The surface-wave secular equation is obtained analytically using the plane-harmonic solution method after the mathematical model has been developed. It is noticed that for symmetric modes of surface waves, the liquid effects and the micro-stretch do not manifest simultaneously. Using MATLAB software, the impacts of the solid's angular rotation and the liquid layer's thickness on the symmetric mode of surface waves are illustrated for a specific model. The velocity of surface waves at the boundary between the liquid and the micropolar elastic solid diminishes as the angular rotation increases and vanishes at the boundary with the microstretch elastic solid, while it rises with greater layer thickness. The wave velocities observed in non-rotating solids exceed those found in rotating solids. In contrast to the symmetric mode of the physical model under consideration, there is no substantial research on the anti-symmetric mode of surface waves.

Keywords

Inviscid liquid, Micropolar elastic solid, Rotation, Stretch, Surface waves

Subject Area

Mathematics

Article Type

Article

First Page

3262

Last Page

3271

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite this Article

Kamidi, Somaiah; Kandula, Narsimharao; Burugu, Venkateswara Rao; Rajkumar, Gaddam; and Remidi, Srinivas (2026) "Surface Wave Propagation at the Interface between an Inviscid Liquid Layer and a rotating Micropolar Elastic Solid with Stretch," Baghdad Science Journal: Vol. 23: Iss. 9, Article 15.
DOI: https://doi.org/10.21123/2411-7986.5409