Islam Saeed, Hussain Shah, Khan Waris, Salah Bashir
Department of Mathematics and Statistics, Bacha Khan University, Charsadda, KP, Pakistan.
Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, KP, Pakistan.
Sci Prog. 2023 Jul-Sep;106(3):368504231195504. doi: 10.1177/00368504231195504.
The advancement of nanofluid innovation is a crucial area of research for physicists, mathematicians, manufacturers, and materials scientists. In engineering and industries, the fluid velocity caused by stretching sheets and nanofluids has a lot of applications such as refrigerators, chips, heat exchangers, hybrid mechanical motors, food development, and so on. The originality of the current study is the analysis of the thermal nanofluid in the existence of a porous matrix, and buoyancy force over the stretched sheet, so in limiting cases, the existing work is equated with the available effort, and excellent correspondence is originated. The governing equations in terms of PDEs are changed to the convection differential by utilizing the appropriate transformation and then solved by the ND-solved method along with bvph2. The thermal boundary layer thickness upsurges as the radiation and temperature factors are improved. It is observed that with the growing amount of volume fraction factor the velocity profile declines. When the velocity slip factors and permeability are enhanced the velocity profile augments. It is examined as the values of permeability factor, Biot number, and velocity slip factor are increased the inner temperature of the fluid improves. For the increasing values of θ_r, ϕ, and Nr, the temperature is increasing. In the future, the present model can be extended by using the hybrid nanofluid for the activation of thermal conductivity and heat enhancement analysis.
纳米流体创新的进展是物理学家、数学家、制造商和材料科学家的一个关键研究领域。在工程和工业中,由拉伸片材和纳米流体引起的流体速度有许多应用,如冰箱、芯片、热交换器、混合机械马达、食品开发等等。当前研究的独特之处在于分析存在多孔基质时的热纳米流体,以及拉伸片材上的浮力,因此在极限情况下,将现有工作与可用成果进行了对比,并得出了很好的一致性。通过适当的变换将以偏微分方程表示的控制方程转换为对流微分方程,然后用ND求解方法结合bvph2进行求解。随着辐射和温度因素的改善,热边界层厚度增加。可以观察到,随着体积分数因子数量的增加,速度分布下降。当速度滑移因子和渗透率增加时,速度分布增大。经检验,随着渗透率因子、毕奥数和速度滑移因子值的增加,流体的内部温度升高。对于θ_r、ϕ和Nr值的增加,温度也在升高。未来,可以通过使用混合纳米流体来扩展当前模型,以进行热导率激活和热增强分析。