Mahmood Zafar, Eldin Sayed M, Soliman Amal F, Assiri Taghreed A, Khan Umar, Mahmoud S R
Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan.
Center of Research, Faculty of Engineering, Future University in Egypt New Cairo 11835, Egypt.
Heliyon. 2023 Jan 25;9(2):e13224. doi: 10.1016/j.heliyon.2023.e13224. eCollection 2023 Feb.
The stretched surface's convective heat transfer capability can be improved by using nanoparticles. There is a significant role of the Prandtl number in determining the thermal and momentum stretching layer surfaces. It is proposed in this study that an effective Prandtl number model be used to explore the two-dimensional oblique stagnation point flow of and nanofluids moving over a convective stretching surface. The fluid in question is subjected to a thorough investigation. It is necessary to apply non-linear ordinary differential equations in order to connect the controlling partial differential equations with the boundary conditions. To solve these equations, an efficient and reliable numerical technique is used. Shooting Method with Runge Kutta-IV in Mathematica software. Visual representations of normal and tangential velocity and temperature as well as streamlines as a function of many physical parameters are shown. The results show that as the volume fraction of nanoparticles increases, the fluid flow and velocity all increase, whereas the flow and velocity both increase against the stretching ratio parameter, while the flow and velocity both decrease. When the volume percentage of nanoparticles and the Biot number are both increased, the temperature rises. However, when the stretching ratio parameter is increased, the temperature falls. Physical attributes like the local skin friction coefficient and the heat flow may be characterized in many ways. A nanofluid comprised of outperformed a nanofluid in terms of heat transfer rate. The source of zero skin friction may be observed to move to the left or right depending on the balance of obliqueness and straining motion at point . The computed numerical results of the current research correspond well with those accessible in the literature for the limiting scenario.
通过使用纳米颗粒可以提高拉伸表面的对流换热能力。普朗特数在确定热和动量拉伸层表面方面起着重要作用。本研究提出使用有效普朗特数模型来探索 和 纳米流体在对流拉伸表面上的二维斜驻点流动。对所讨论的流体进行了深入研究。为了将控制偏微分方程与边界条件联系起来，有必要应用非线性常微分方程。为求解这些方程，使用了一种高效可靠的数值技术。在Mathematica软件中采用龙格 - 库塔 - IV射击法。展示了法向和切向速度、温度以及流线作为许多物理参数函数的可视化表示。结果表明，随着纳米颗粒体积分数的增加，流体流动 和速度 均增加，而流动 和速度 均随拉伸比参数增加，而流动 和速度 均减小。当纳米颗粒的体积百分比和毕渥数都增加时，温度升高。然而，当拉伸比参数增加时，温度降低。局部表面摩擦系数和热流等物理属性可以通过多种方式来表征。由 组成的纳米流体在传热速率方面优于 纳米流体。可以观察到零表面摩擦的源点根据点 处倾斜和拉伸运动的平衡向左或向右移动。当前研究的计算数值结果与文献中针对极限情况可获得的结果吻合良好。
