Jabeen Iffat, Ahmad S, Anjum Aisha, Farooq M
Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan.
Department of Mathematics, Riphah International University, Islamabad 44000, Pakistan.
Heliyon. 2022 Nov 29;8(12):e11850. doi: 10.1016/j.heliyon.2022.e11850. eCollection 2022 Dec.
This investigation consists of Maxwell's fluid which describes rate type non-Newtonian fluid in best; it has great applications in engineering, technology and industry. Linear stretching sheet generates the flow in fluid. Flow momentum is measured with MHD effect. When Fourier's and Fick's laws are incorporated relaxation time factor then known as Cattaneo-Christov model which are implemented for heat and mass transport. The features of heat source or sink and non-linear type thermal stratification are employed with variable thermal conductivity. The features of chemical reaction and non-linear type solutal stratification are analyzed along with variable mass diffusivity. By the usage of boundary layer phenomenality in this problem, non-linear PDEs are achieved. These equations are transmuted into non-linear and non-homogeneous differential equations ramified with ordinary derivatives after applying similarity transformations. The most exclusive homotopic analysis method is used to get the analytic solutions of nonlinear and non-dimensional governing equations. The significant results of progressive parameters are dominant in this investigation. The arising parameters are examined in detail and results are shown graphically. It is found out that with the increment of time relaxation factor velocity, temperature and concentration profiles reduce. It increases the viscoelastic impacts related to stress relaxation time which makes viscoelastic materials more durable.
本研究涉及麦克斯韦流体,它能最好地描述速率型非牛顿流体;在工程、技术和工业领域有广泛应用。线性拉伸薄板在流体中产生流动。利用磁流体动力学(MHD)效应测量流动动量。当傅里叶定律和菲克定律纳入松弛时间因子时,就称为卡塔尼奥 - 克里斯托夫模型,用于热质传递。热源或热汇以及非线性热分层的特征与可变热导率一起考虑。化学反应和非线性溶质分层的特征与可变质量扩散率一起进行分析。通过在该问题中运用边界层现象,得到非线性偏微分方程。应用相似变换后,这些方程转化为带有常导数的非线性和非齐次微分方程。采用最独特的同伦分析方法来求解非线性和无量纲控制方程的解析解。在本研究中,渐进参数的显著结果占主导地位。对出现的参数进行了详细研究,并以图形方式展示了结果。结果表明,随着时间松弛因子的增加,速度、温度和浓度分布会降低。这增加了与应力松弛时间相关的粘弹性影响,使粘弹性材料更耐用。