Abstract

Carbon nanotubes (CNTs) have extensive biomedical applications in which a heat pulse is applied to the CNTs. The present study encompasses the novelty by focusing on the complicated effect of thermal loads and heat generation on the CNT stability with the aim of preserving and improving the stability. There is also a lack of research that evaluates the size-dependence using appropriate robust non-classic theory, which is incorporated by employing a hybrid method of nonlocal couple stress theory and nonlocal elasticity theory. Additionally, Euler–Bernoulli beam theory is employed for coupling the Navier–Stokes equation of magnetic-fluid flow with the CNT deformation. The CNT stability is evaluated by considering nonlocal and couple-stress sizing effect parameters, Knudsen number, magnetic field intensity, thermal effect, heat generation, and fluid flow velocity. Results indicate that, by rising the temperature gradient and the couple stress sizing effect parameter, the system stability is improved up to 19.07% and 16.58%. Whereas, by increasing the heat generation, the dimensionless critical velocity shows 6.91% decrease, which deteriorates the CNT stability. Results of the present study demonstrates that in CNT applications with the presence of thermal loads, neglect of thermal effects leads to misinterpretation of the system stability.

摘要

碳纳米管 (CNT) 具有广泛的生物医学应用，其中对 CNT 施加热脉冲。本研究通过关注热负荷和发热对 CNT 稳定性的复杂影响来涵盖新颖性，目的是保持和提高稳定性。还缺乏使用适当的鲁棒非经典理论评估尺寸依赖性的研究，该理论通过采用非局部耦合应力理论和非局部弹性理论的混合方法进行合并。此外，采用欧拉-伯努利束理论将磁流体流动的 Navier-Stokes 方程与 CNT 变形耦合。通过考虑非局部和耦合应力大小效应参数、克努森数、磁场强度、热效应、发热、和流体流速。结果表明，通过提高温度梯度和耦合应力大小效应参数，系统稳定性分别提高了19.07%和16.58%。然而，通过增加热量产生，无量纲临界速度显示出 6.91% 的降低，这降低了 CNT 的稳定性。本研究的结果表明，在存在热负载的 CNT 应用中，忽略热效应会导致对系统稳定性的误解。