This study consists of proposing a new mathematical method to develop a new model for evaluating thermal distributions throughout convergent-divergent channels between non-parallel plane walls in Jeffery Hamel flow. Subsequently, dimensionless equations that govern temperature fields and velocity are numerically tackled via the Runge–Kutta-Fehlberg approach based on the shooting method. Additionally, an analytical study is performed by applying an effective computation technique named Adomian Decomposition Method. Determining the effect of Reynolds and Prandtl numbers on the heat transfer and fluid velocity inside converging/diverging channels can be mentioned as the fundamental purpose of this research. Based on the results obtained for dimensionless velocity and thermal distributions, a supreme match can be observed between numerical and analytical results indicating the adopted ADM method is valid, applicable, and has great precision.

这项研究包括提出一种新的数学方法，以开发一种新模型来评估Jeffery Hamel流中非平行平面壁之间的整个收敛-发散通道的热分布。随后，基于射击方法的Runge–Kutta-Fehlberg方法通过数值方法解决了控制温度场和速度的无量纲方程。此外，通过应用称为Adomian分解法的有效计算技术来进行分析研究。确定雷诺数和普朗特数对会聚/扩散通道内传热和流体速度的影响可以作为本研究的基本目的。根据无量纲速度和热分布的结果，