In the current article, an analysis of heat transfer in the spine of different profiles is carried out. A nonlinear differential equation that includes the effect of temperature-dependent thermal conductivity, variable heat transfer coefficient, and surface radiation is solved using a predictor-corrector scheme and the meshless local Petrov-Galerkin (MLPG) method. The moving least square (MLS) method is employed for the approximation of unknown function and the penalty parameter method is used to impose essential boundary conditions. Temperature variation along the length of the spine and rate of heat transfer in steady-state, under convective and convective-radiative environment has been obtained and explained. Performance of the spine under the above conditions is evaluated. Further, the study is extended to calculate volume adjusted performance which presents a comparative thermal performance of different profiles.

在本文中，对不同剖面的脊柱中的传热进行了分析。使用预测器-校正器方案和无网格局部 Petrov-Galerkin (MLPG) 方法求解非线性微分方程，其中包括与温度相关的热导率、可变传热系数和表面辐射的影响。移动最小二乘法（MLS）用于未知函数的逼近，惩罚参数法用于施加必要的边界条件。已经获得并解释了在稳态、​​对流和对流辐射环境下沿脊柱长度的温度变化和传热速率。评估在上述条件下脊柱的性能。更多，