This paper aims to investigate the time-dependent stagnation point flow of an Oldroyd-B fluid subjected to the modified Fourier law. The flow into a vertically stretched cylinder at the stagnation point is discussed. The heat flux model of a non-Fourier is intended for the transfer of thermal energy in fluid flow. The study is carried out on the surface heating source, namely the surface temperature. The developed nonlinear partial differential equation for regulating fluid flow and heat transport is transformed via appropriate similarity variables into a nonlinear ordinary differential equation. The development and analysis of convergent series solutions were considered for velocity and temperature. Prandtl number numerical values are computed and investigated. This study’s findings are compared to the previous findings. By making use of the bvp4c Matlab method, numerical solutions are obtained. Besides, high buoyancy parameter values are found to increase the fluid velocity for the stimulating approach. By improving the thermal relaxation time parameter values, heat transfer in the fluid flow decreases. The temperature field effects are displayed graphically.

中文翻译：

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基于修正傅里叶定律的Oldroyd-B流体时滞驻点流动数值分析

本文旨在研究受修正傅里叶定律影响的 Oldroyd-B 流体随时间变化的驻点流动。讨论了在驻点处流入垂直拉伸圆柱体的流动。非傅立叶的热通量模型旨在用于流体流动中的热能传递。研究是针对地表热源，即地表温度进行的。所开发的用于调节流体流动和热传递的非线性偏微分方程通过适当的相似变量转换为非线性常微分方程。考虑了速度和温度的收敛级数解的开发和分析。计算和研究普朗特数数值。本研究的结果与之前的研究结果进行了比较。利用bvp4c Matlab方法，得到数值解。此外，发现高浮力参数值会增加刺激方法的流体速度。通过提高热弛豫时间参数值，流体流动中的热传递减少。温度场效应以图形方式显示。