Analysis of Vibrational Properties of Horn-Shaped Magneto-Elastic Single-Walled Carbon Nanotube Mass Sensor Conveying Pulsating Viscous Fluid Using Haar Wavelet Technique

This research explores the dynamic behaviour of horn-shaped single-walled carbon nanotubes (HS-SWCNTs) conveying viscous nanofluid with pulsating the influence of a longitudinal magnetic field. The analysis utilizes Euler–Bernoulli beam model, considering the variable cross section, and incorporating Eringen’s nonlocal theory to formulate the governing partial differential equation of motion. The instability domain of HS-SWCNTs is estimated using Galerkin’s approach. Numerical analysis is performed using the Haar wavelet method. The critical buckling load obtained in this study is compared with previous research to validate the proposed model. The results highlight the effectiveness of the proposed model in assessing the vibrational characteristics of a complex multi-physics system involving HS-SWCNTs. Dispersion graphs and tables are presented to visualize the numerical findings pertaining to various system parameters, including the nonlocal parameter, magnetic flux, Knudsen number, and viscous factor.