The trapezoidal and dovetail profiled longitudinal fin structures exposed to a convective-radiative environment and mounted on an inclined surface have been considered for the analysis. The fin structures have been assumed to be porous and fully wet in nature. The Darcy model has been implemented to simulate the fluid-solid interactions. Further, the convective and radiative heat transfer coefficients have been taken to be temperature-dependent. The resulting equation has been reduced by introducing the non-dimensional quantities and then solved by employing the Runge-Kutta Fehlberg 4th–5th order method along with the shooting technique. The effect of tip tapering, angle of inclination, fully wet nature, porosity, internal heat generation, and other pertinent parameters on the fin thermal profile and fin heat transfer rate has been presented graphically and discussed. It has been inferred that the dovetail fin profile achieves the highest heat transfer rate followed by rectangular and trapezoidal fin profiles provided the internal heat generation is minimal. The present work is significant for fin design purposes and also acts as a verification tool for future research.

暴露于对流辐射环境并安装在倾斜表面上的梯形和燕尾形纵向翅片结构已被考虑用于分析。翅片结构被假定为多孔的并且本质上是完全湿润的。已实施达西模型来模拟流固相互作用。此外，对流和辐射传热系数已被视为与温度有关。通过引入无量纲量，得到的方程已被简化，然后通过使用 Runge-Kutta Fehlberg 4-5 阶方法以及射击技术求解。尖端锥度、倾斜角度、完全湿润性、孔隙率、内部发热的影响，和其他有关翅片热分布和翅片传热率的相关参数已以图形方式呈现并进行了讨论。据推断，燕尾形翅片的传热率最高，其次是矩形和梯形翅片，前提是内部产生的热量最小。目前的工作对于鳍设计目的很重要，也可以作为未来研究的验证工具。