Thermal-mechanical vibration and instability analysis of fluid-conveying double walled carbon nanotubes embedded in visco-elastic medium

► We developed thermal-mechanical vibration of embedded fluid-conveying DWCNTs. ► Surrounding biological soft tissue is modeled as Kelvin-Voigt model. ► Parameters of Kelvin-Voigt model considerably affect the resonant frequencies. ► Increase of temperature change reduces the effect of visco-elastic parameters.