Abstract The current study deals with the properties of thermal radiation, heat generation and the effect of convective boundary conditions through a duct with the Rabinowitsch fluid. The thermal conductivity is also taken as a function of temperature. The exact solution of velocity distribution is presented with the help of symbolic software Maple. Due to existence of thermal radiation, heat generation and variable thermal conductivity, the exact solution of energy Equations is not possible. For this, we have evaluated the numerical solution of the energy Equation with the help of numerical scheme. The effects of physical parameters on temperature and velocity profiles are presented in term of graphs. The temperature profile is minimum for the case of Dilatant fluid and maximum for Pseudoplastic fluid. Thermal radiation and convective boundary parameters suppressed the temperature inside the tube. While, the thermal conductivity and heat generation parameters are enhancing the heat transfer rate through a tube. The variation of heat transfer rate against the physical parameters are listed in tabular form. The magnitude of the heat transfer is maximum and minimum for Dilatant and pseudoplastic fluids for all physical parameters. The solution is also benchmarked with the previous published data available in the literature.

中文翻译：

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热源/汇、辐射热通量、温度相关热导率对强制对流 Rabinowitsch 流体的综合影响

摘要 当前的研究涉及热辐射的特性、发热以及通过带有 Rabinowitsch 流体的管道的对流边界条件的影响。热导率也被视为温度的函数。速度分布的精确解是在符号软件 Maple 的帮助下给出的。由于热辐射、发热和热导率变化的存在，能量方程的精确解是不可能的。为此，我们借助数值方案评估了能量方程的数值解。物理参数对温度和速度剖面的影响以图表的形式呈现。膨胀流体的温度曲线最小，假塑性流体的温度曲线最大。热辐射和对流边界参数抑制了管内的温度。同时，热导率和发热参数提高了通过管的传热率。热传递率随物理参数的变化以表格形式列出。对于所有物理参数，膨胀流体和假塑性流体的传热幅度最大和最小。该解决方案还以文献中先前发布的数据为基准。对于所有物理参数，膨胀流体和假塑性流体的传热幅度最大和最小。该解决方案还以文献中先前发布的数据为基准。对于所有物理参数，膨胀流体和假塑性流体的传热幅度最大和最小。该解决方案还以文献中先前发布的数据为基准。