Numerical study of slip and Magnetohydrodynamics (MHD) in calendering process using non-Newtonian fluid

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
M. A. Javed, U. Shehzadi, A. Sowayan, H. M. Atif, M. Nazeer, Sami Ullah, Khan
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Abstract

In this study, calendering process of an Oldroyd 4-constant model with the non-linear slip condition is presented. The fundamental laws are used to formulate the flow equations and then are simplified under lubrication approximation theory. We introduced the stream function to eradicate the pressure gradient and then numerically solved the final equations using the "bvp4c method" to determine the stream function and velocity profiles. The pressure gradient, pressure, and mechanical quantities of calendering operations are computed using the Runge-Kutta 4 th -order approach. Using a variety of graphs, it is discussed how the slip, Hartmann number, and material parameters of an Oldroyd 4-constant fluid affect the velocity, pressure gradient, and other associated characteristics of calendering. The results reveal that on comparing to the no-slip situation, the pressure distribution inside the calender and the length of contact decreases with increasing slip parameter values. On the other hand, the Hartmann number is responsible to enhance pressure. Furthermore, a reduction is observed in final sheet thickness with increases the values of the slip parameter ( Kn ). The force and power are the decreasing function of 1  , conversely, these quantities increase with enhancing the values of leave off distance (  ).
使用非牛顿流体的压延工艺中的滑移和磁流体力学(MHD)数值研究
本研究介绍了具有非线性滑移条件的 Oldroyd 4 常量模型的压延过程。我们利用基本定律来制定流动方程,然后根据润滑近似理论对其进行简化。我们引入了流函数来消除压力梯度,然后使用 "bvp4c 方法 "对最终方程进行数值求解,以确定流函数和速度剖面。压延操作的压力梯度、压力和机械量采用 Runge-Kutta 4th -order 方法计算。通过各种图表,讨论了奥尔德罗伊德四常数流体的滑移、哈特曼数和材料参数如何影响压延的速度、压力梯度和其他相关特性。结果表明,与无滑移情况相比,压延机内部的压力分布和接触长度随着滑移参数值的增加而减小。另一方面,哈特曼数会增加压力。此外,随着滑移参数值(Kn)的增加,最终板材厚度也会减小。力和功率是 1  的递减函数,相反,这些量随着离开距离 (  ) 值的增加而增加。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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