Department of Mathematics, Debre Tabor University, Debre Tabor, Ethiopia.
Department of Mathematics, Banwarilal Bhalotia College, Asansol, India.
Sci Rep. 2023 Mar 2;13(1):3515. doi: 10.1038/s41598-023-30656-2.
In this communication, the joint impacts of the process of melting as well as wedge angle entity on hydromagnetic hyperbolic tangent nanofluid flow owing to permeable wedge-shaped surface in the incidence of suspended nanoparticles along with radiation, Soret and Dufour numbers are scrutinized. The mathematical model which represents the system consists of a system of highly non-linear coupled partial differential equations. These equations are solved using a finite-difference-based MATLAB solver which implements the Lobatto IIIa collocation formula and is fourth-order accurate. Further, the comparison of computed results is carried out with the previously reported articles and outstanding conformity is recorded. Emerged physical entities affecting the bearings of tangent hyperbolic MHD nanofluid velocity, distribution of temperature, and concentration of nanoparticles are visualized in graphs. In another line, shearing stress, the surface gradient of heat transfer, and volumetric rate of concentration are recorded in tabular form. Most interestingly, momentum boundary layer thickness and thicknesses of thermal as well as solutal boundary layers enhance with an increment of Weissenberg number. Moreover, an increment on tangent hyperbolic nanofluid velocity and decrement on the thickness of momentum boundary layer is visualized for the increment of numerical values of power-law index entity, which can determine the behavior of shear-thinning fluids.This study has applications for coating materials used in chemical engineering, such as strong paints, aerosol manufacturing, and thermal treatment of water-soluble solutions.
在本通信中,研究了楔形表面渗透、悬浮纳米颗粒、辐射、Soret 和 Dufour 数等因素对熔融过程和楔形角实体对可压缩楔形表面中磁流体双曲正切纳米流体流动的联合影响。所代表的系统的数学模型由一组高度非线性的耦合偏微分方程组成。这些方程使用基于有限差分的 MATLAB 求解器进行求解,该求解器采用 Lobatto IIIa 配置公式,具有四阶精度。此外,还将计算结果与以前报道的文章进行了比较,记录了出色的一致性。在图表中可视化了影响双曲正切 MHD 纳米流体速度、温度分布和纳米颗粒浓度分布的物理实体。另一方面,以表格形式记录了剪切应力、传热的表面梯度和浓度的体积率。最有趣的是,随着 Weissenberg 数的增加,动量边界层厚度和热边界层以及溶质边界层的厚度都会增加。此外,随着幂律指数实体数值的增加,观察到双曲正切纳米流体速度的增加和动量边界层厚度的减少,这可以确定剪切稀化流体的行为。本研究适用于化学工程中的涂层材料,如强漆、气溶胶制造和水溶性溶液的热处理。