Maranna T, Sachhin S M, Mahabaleshwar U S, Hatami M
Department of Studies in Mathematics, Shivagangotri, Davangere University, Davangere, India.
Department of Mechanical Engineering, Esfarayen University of Technology, Esfarayen, North Khorasan, Iran.
Sci Rep. 2023 Aug 3;13(1):12634. doi: 10.1038/s41598-023-39153-y.
The current studies analytically summarize the impact of magnetohydrodynamic and thermal radiation on the non-Newtonian continuous uniform motion of viscid non-compressible nanofluid across a penetrable stretching/shrinking sheet, even though accomplish Navier's first and second order slips along mass transpiration. Blood-bearing silver and copper nanomaterials have distinct flow and heat transfer properties when exposed to heat. Silver (Ag) as well as copper (Cu) nanoparticles are assumed to be present in blood as the non-Newtonian liquid; this fluid serves as the base. We anticipate that the current study will be useful in fields including food, petrochemical products, and medicines, as well as blood circulation, and highly beneficial for patients who are dealing with blood clotting in the uterus, which may result in infertility or cancer, to evaluate the blood flow in the tube. Employing the similarity conversion technique, the ruling partial differential equations are modified into a couple of non-linear ordinary differential equations. Then the transformed ordinary differential equations are analytically solved with the Laplace transformation and expressed in terms of an incomplete gamma function. The current analytical results are compared to previous studies. It is addressed how several physical features such as magnetic field M, Navier's first and second order slip, permeability, Prandtl number Pr, and radiation parameter affect non-dimensional velocity as well as temperature patterns through graphs. The results obtained reveal that there is an enhancement in the rate of heat transfer with the rise in nanoparticle volume fraction and radiation. The temperature distribution is also influenced by the presence of Prandtl numbers, radiation, solid volume fraction, permeability, and slip conditions. This shows that the solid volume fraction of nanoparticles can be used to control the behaviour of heat transfer and nanofluid flows.
当前的研究通过分析总结了磁流体动力学和热辐射对粘性不可压缩纳米流体在可渗透拉伸/收缩薄板上的非牛顿连续均匀运动的影响，尽管在质量传输过程中实现了纳维一阶和二阶滑移。含血的银和铜纳米材料在受热时具有独特的流动和传热特性。假设银（Ag）和铜（Cu）纳米颗粒作为非牛顿液体存在于血液中；这种流体作为基础。我们预计当前的研究将在食品、石化产品和药品等领域以及血液循环中有用，并且对于处理子宫内血液凝固（这可能导致不孕或癌症）的患者评估血管中的血流非常有益。采用相似变换技术，将主导偏微分方程转化为一组非线性常微分方程。然后用拉普拉斯变换对变换后的常微分方程进行解析求解，并以不完全伽马函数表示。将当前的分析结果与先前的研究进行比较。通过图表阐述了诸如磁场M、纳维一阶和二阶滑移、渗透率、普朗特数Pr和辐射参数等几个物理特征如何影响无量纲速度以及温度分布。所得结果表明，随着纳米颗粒体积分数和辐射的增加，传热速率有所提高。温度分布也受到普朗特数、辐射、固体体积分数、渗透率和滑移条件的影响。这表明纳米颗粒的固体体积分数可用于控制传热和纳米流体流动的行为。
