The idea of thermal-dependent conductivity in transportation of heat has essential significance in ample industrial utilizations. The aspect of heat transportation in furnaces, fibrous, boilers, porous burners, foam insulations, etc. are instances of conduction aspect where temperature differ, and for this reason, alteration in conductivity is extremely higher. Some convected heat transportation processes encompass the thermal-dependent conductivity concept that can be scrutinized in chilling of electronic mechanism structural design along with heat exchangers. Taking into consideration the above-mentioned practicality of thermal-dependent conductivity, we analyzed buoyancy-driven stagnant-point flow subjected to heat sink and heat source. Cattaneo–Christov model which modify the traditional energy expression (i.e., energy expression obtained due to Fourier expression) is considered for modeling. The mathematical systems are simplified via application of boundary-layer theory. These systems are transfigured into dimensionless ODEs by utilizing similarity approach. The modeled dimensionless systems are evaluated employing homotopy procedure. Besides, novel characteristics of non-dimensional factors are inspected via pictorial outcomes.

热量传输中​​与热有关的电导率的思想在大量工业应用中具有重要意义。熔炉，纤维，锅炉，多孔燃烧器，泡沫绝缘体等中的热传递方面是温度不同的传导方面的实例，因此，电导率的变化非常高。一些对流的热传输过程包括与热有关的传导性概念，可以在冷却电子机械结构设计以及热交换器时仔细检查这些概念。考虑到上述导热系数的实用性，我们分析了受散热器和热源作用的浮力驱动的滞流。Cattaneo–Christov模型修改了传统的能量表达（即，考虑将由于傅立叶表达式而获得的能量表达式）用于建模。通过应用边界层理论简化了数学系统。通过使用相似性方法，将这些系统转化为无量纲的ODE。建模的无量纲系统使用同伦过程进行评估。此外，通过图形结果检查了无量纲因素的新颖特征。