Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan.
Department of Mathematics, The Govt. Sadiq College Women University, Bahawalpur, Pakistan.
Sci Rep. 2023 May 30;13(1):8717. doi: 10.1038/s41598-023-35988-7.
The current study scrutinizes heat and mass transfer features of magnetized flow of [Formula: see text] nanolubricant over Riga plate in a Darcy Forchheimer medium. The effects of variable viscosity, thermal radiation, variable thermal conductivity, viscous dissipation and uniform heat source/sink are examined in this study. The diffusion model presented by Cattaneo-Christov is incorporated in this study to enclose heat and mass transport phenomenon. Additionally, the mass transfer rate is inspected subjected to the effects of variable solutal diffusivity and higher order chemical reaction. Heat and mass transfer phenomena have significant applications in the disciplines of science and technology that can be seen everywhere in nature. This simultaneous transportation phenomenon indicates a variety of applications in manufacturing processes, aerodynamics, cooling systems, environmental sciences, oceanography, food industries, biological disciplines, and energy transport systems etc. The modeled system of PDEs is metamorphosed to nonlinear ODEs with the introduction of appropriate transformations. An eminent bvp4c method in MATLAB has been incorporated to execute the resulting system of ODEs numerically. The outcomes of velocity, temperature and concentration profiles corresponding to various emerging parameters have been exposed graphically. The motion of [Formula: see text] nanolubricant tends to enhance significantly with larger modified Hartmann number, whereas converse behavior is reported by increasing porosity parameter and variable viscosity parameter. The greater heat transfer rate is observed for variable thermal conductivity parameter. The rates of heat and mass transfer slow down for thermal and solutal time relaxation parameters respectively. The concentration profile gets enriched by growing the order of the chemical reaction and variable mass diffusivity parameter. It is concluded that by increasing solid volume fraction up to [Formula: see text], the viscosity of the nanolubricant enhances up to [Formula: see text] which consequently slows down motion of the nanolubricant but increases temperature and concentration profiles.
当前的研究考察了在达西-福尔希海默介质中拉格板上[Formula: see text]纳米润滑剂的磁化流动的传热和传质特性。本研究考察了可变粘度、热辐射、可变导热系数、粘性耗散和均匀热源/汇的影响。本研究采用 Cattaneo-Christov 提出的扩散模型来包含热和质量传输现象。此外,还检查了由于可变溶质扩散率和高阶化学反应的影响而导致的传质速率。热和质量传递现象在科学和技术领域中有重要的应用,可以在自然界中随处可见。这种同时运输现象在制造过程、空气动力学、冷却系统、环境科学、海洋学、食品工业、生物学科和能源传输系统等领域有多种应用。通过引入适当的变换,将 PDEs 的模型系统转化为非线性 ODEs。在 MATLAB 中采用了一个著名的 bvp4c 方法来对得到的 ODE 系统进行数值求解。通过图形方式展示了对应于各种出现参数的速度、温度和浓度分布的结果。随着修正的哈特曼数的增大,[Formula: see text]纳米润滑剂的运动明显增强,而随着多孔率参数和可变粘度参数的增大则呈现相反的行为。随着可变导热系数参数的增大,传热速率增大。随着热和溶质时间松弛参数的增大,热和传质速率分别减慢。随着化学反应阶数和可变质量扩散系数参数的增大,浓度分布得到丰富。研究结果表明,通过将固体体积分数增加到[Formula: see text],纳米润滑剂的粘度增加到[Formula: see text],这会减缓纳米润滑剂的运动,但会增加温度和浓度分布。