Abstract This paper investigates the steady-state momentum and radiation heat transfer flow of a viscoelastic fluid in a porous media in the presence of a linear Navier slip boundary condition. The velocity of the fluid over the linear stretching sheet is varied linearly with the axial distance while a Walters’ liquid-B model is assumed for the viscosity. A similarity transformation reduces the Navier–Stokes equations to a set of partial differential equations that are converted into ordinary differential equations and solved analytically for the velocity. Moreover, heat is balanced between a temperature dependent heat source and radiation and leads to a differential equation with variable coefficients. The temperature equation is transformed to a confluent hypergeometric differential equation using the Rosseland approximation for the radiation and solved analytically. Results are discussed for two boundary conditions of the sheet, the prescribed surface temperature and the wall heat flux. Parameters like the Reynolds number, the viscoelastic parameter and the boundary slip parameter are found to determine the flow field. In addition, the Prandtl number, the radiation number, the wall temperature and the heat source/sink parameters are found to control the temperature distribution inside the stretching sheet.

中文翻译：

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沃尔特斯液体 B 流过多孔介质中拉伸片的辐射和纳维滑移边界的影响

摘要 本文研究了多孔介质中粘弹性流体在线性纳维滑移边界条件下的稳态动量和辐射传热流动。流体在线性拉伸片上的速度随轴向距离线性变化，同时假设粘度采用 Walters 的液体 B 模型。相似变换将 Navier-Stokes 方程简化为一组偏微分方程，这些偏微分方程转换为常微分方程并解析求解速度。此外，热量在依赖于温度的热源和辐射之间平衡，并导致具有可变系数的微分方程。使用辐射的 Rosseland 近似将温度方程转换为合流超几何微分方程并进行解析求解。讨论了板材的两个边界条件、规定的表面温度和壁面热通量的结果。找到雷诺数、粘弹性参数和边界滑移参数等参数来确定流场。此外，还发现了普朗特数、辐射数、壁温和热源/汇参数来控制拉伸片材内部的温度分布。找到粘弹性参数和边界滑移参数来确定流场。此外，还发现了普朗特数、辐射数、壁温和热源/汇参数来控制拉伸片材内部的温度分布。找到粘弹性参数和边界滑移参数来确定流场。此外，发现普朗特数、辐射数、壁温和热源/汇参数来控制拉伸片材内部的温度分布。