Haider Qusain, Hussain Azad, Rehman Aysha, Ashour Ahmed, Althobaiti Ali
Department of Mathematics, University of Gujrat, Gujrat 50700, Pakistan.
Engineering Mathematics and Physics Department, Faculty of Engineering and Technology, Future University in Egypt, New Cairo 11845, Egypt.
Nanomaterials (Basel). 2022 May 16;12(10):1700. doi: 10.3390/nano12101700.
In the present study, we explore the time-dependent convectional flow of a rheological nanofluid over a turning cone with the consolidated impacts of warmth and mass exchange. It has been shown that if the angular velocity at the free stream and the cone's angular velocity differ inversely as a linear time function, a self-similar solution can be obtained. By applying sufficient approximation to the boundary layer, the managed conditions of movement, temperature, and nanoparticles are improved; afterward, the framework is changed to a non-dimensional framework utilizing proper comparability changes. A numerical solution for the obtained system of governing equations is achieved. The effect of different parameters on the velocity, temperature, and concentration profiles are discussed. Tangential velocity is observed to decrease with an increase in the Deborah number, whereas tangential velocity increases with increasing values of the angular velocity ratio, relaxation to the retardation time ratio, and buoyancy parameter. Expansion in the Prandtl number is noted to decrease the boundary layer temperature and thickness. The temperature is seen to decrease with an expansion in the parameters of lightness, thermophoresis parameter, and Brownian movement. It is discovered that the Nusselt number expands by expanding the lightness parameter and Prandtl number, whereas it increases by decreasing the Deborah number. We also noticed that the Sherwood number falls incrementally in Deborah and Prandtl numbers, but it upsurges with an increase in the buoyancy parameter.
在本研究中，我们探讨了一种流变纳米流体在旋转锥面上随时间变化的对流流动，并考虑了热质交换的综合影响。结果表明，如果自由流中的角速度与锥面的角速度成反比，且为线性时间函数，则可得到自相似解。通过对边界层进行充分近似，改进了运动、温度和纳米颗粒的控制条件；随后，利用适当的相似变换将该系统转换为无量纲系统。得到了所获得的控制方程组的数值解。讨论了不同参数对速度、温度和浓度分布的影响。观察到切向速度随着德博拉数的增加而减小，而切向速度随着角速度比、弛豫到延迟时间比和浮力参数值的增加而增加。注意到普朗特数的增大降低了边界层温度和厚度。随着亮度、热泳参数和布朗运动参数的增大，温度降低。发现努塞尔数通过增大亮度参数和普朗特数而增大，而通过减小德博拉数而增大。我们还注意到，舍伍德数在德博拉数和普朗特数中逐渐下降，但随着浮力参数的增加而上升。
