This paper investigates the entropy generation in a thin film fluid flow along a heated inclined substrate. The free end of the thin film is assumed to be exposed to adiabatic condition. The mathematical formulation for the fluid and heat flow leads to a dimensionless Boundary Value Problem (BVP) together with a partial differential equation (PDE). The exact solution of the BVP problem was obtained and the analytical solution for the PDE was obtained with the use of separation of variables. These solutions were used to profile the entropy generation in the thin film flow. The result earlier obtained in the absence of porous permeability was validated as a special case of the work and our contributions to knowledge were highlighted in the porous substrate case.

本文研究了薄膜流体沿加热倾斜基底流动时的熵产生。假设薄膜的自由端处于绝热条件。流体和热流的数学公式导致无量纲边界值问题 (BVP) 和偏微分方程 (PDE)。获得了 BVP 问题的精确解，并通过使用变量分离获得了 PDE 的解析解。这些解决方案用于分析薄膜流中的熵生成。早先在没有多孔渗透性的情况下获得的结果被验证为工作的一个特殊案例，我们对知识的贡献在多孔基材案例中得到了强调。