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Insight into the dynamics of the Non-Newtonian Casson fluid on a horizontal object with variable thickness
Mathematics and Computers in Simulation ( IF 4.6 ) Pub Date : 2020-11-01 , DOI: 10.1016/j.matcom.2020.04.032
T. Salahuddin , Nazim Siddique , Maryam Arshad

Abstract With quick variations and growths in engineering technology, the activation and binary chemical reaction have sparked vast interest for engineers and scientists due to its immense applications in chemical engineering, food processing, processes of transportation, reservoir of geothermal, etc. In the energy activation, the least amount of energy is required for stimulation of reactants, wherever a chemical change undergoes. Internal energy change of the viscoelastic fluid is the fundamental part of thermophysical properties determining their enactment is a subject of extensive debates over the years. With this significance, we present the steady-state momentum heat and mass transfer flow of a viscoelastic fluid flow in the existence of pre-exponential factor. The velocity of the fluid over the horizontally stretched pin is changed linearly with the axial distance while Casson fluid is supposed as a fluid model. A similarity transformation eases the Navier–Stokes partial differential equations that are transformed into ordinary differential equations and solved numerically through bvp4c solver for the velocity, concentration and energy fields. Moreover, viscosity and conductivity are assumed to be dependent on temperature. Results are discussed near the boundary layer of the pin, while diffusivity is dependent on concentration. A reaction in the form of pre-exponential factor is taken on the surface of pin. Parameters like the ratio parameter, viscosity parameter and viscoelastic parameter are used to control the flow field. We also find that velocity field declines for growing values of viscoelastic parameter γ . Stripe of temperature field shows increasing behavior with positive values of heat generation parameter b but shows adverse behavior with negative values of b. Small values of Dramkohler number D a gives larger values of Prandtl number but in case of Eckert number we saw an opposite behavior. The fitted rate n and temperature difference parameter have conflicting influence on concentration profile. Activation energy E and e 1 causes increment in the behavior of temperature profile. Moreover, numerical data of current paper is compared with previous data.

中文翻译:

洞察非牛顿卡森流体在厚度可变的水平物体上的动力学

摘要 随着工程技术的快速变化和发展,活化和二元化学反应因其在化学工程、食品加工、运输过程、地热储层等方面的广泛应用而引起了工程师和科学家的广泛兴趣。 ,在发生化学变化的任何地方,刺激反应物所需的能量最少。粘弹性流体的内能变化是决定其制定的热物理性质的基本部分,是多年来广泛争论的主题。有了这个意义,我们提出了在存在指数前因子的情况下粘弹性流体流动的稳态动量传热传质流动。流体在水平拉伸销上的速度随轴向距离线性变化,而卡森流体被假设为流体模型。相似变换简化了 Navier-Stokes 偏微分方程,这些偏微分方程转换为常微分方程并通过 bvp4c 求解器对速度、浓度和能量场进行数值求解。此外,假设粘度和电导率取决于温度。结果在针的边界层附近讨论,而扩散率取决于浓度。在销的表面上发生以指数前因子形式的反应。比率参数、粘度参数和粘弹性参数等参数用于控制流场。我们还发现,随着粘弹性参数 γ 值的增加,速度场会下降。温度场的条纹在发热参数 b 为正值时表现出增加的行为,但在 b 为负值时表现出不利的行为。Dramkohler 数 D a 的小值给出了较大的 Prandtl 数值,但在 Eckert 数的情况下,我们看到了相反的行为。拟合速率 n 和温差参数对浓度分布有相互矛盾的影响。活化能 E 和 e 1 导致温度曲线行为的增加。此外,将当前论文的数值数据与以前的数据进行比较。Dramkohler 数 D a 的小值给出了较大的 Prandtl 数值,但在 Eckert 数的情况下,我们看到了相反的行为。拟合速率 n 和温差参数对浓度分布有相互矛盾的影响。活化能 E 和 e 1 导致温度曲线行为的增加。此外,将当前论文的数值数据与以前的数据进行比较。Dramkohler 数 D a 的小值给出了较大的 Prandtl 数值,但在 Eckert 数的情况下,我们看到了相反的行为。拟合速率 n 和温差参数对浓度分布具有相互矛盾的影响。活化能 E 和 e 1 导致温度曲线行为的增加。此外,将当前论文的数值数据与以前的数据进行比较。
更新日期:2020-11-01
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