Cu-C6H9NaO7和Ag-C6H9NaO7纳米流体在非线性收缩表面流动的多重解

摘要

Model of Casson nanofluid flow over a nonlinear shrinking surface is considered. Model of Tiwari and Das is applied to nanofluid comprising of sodium alginate with copper and silver. The governing nonlinear equations incorporating the effects of the viscous dissipation are transformed into boundary value problems (BVPs) of ordinary differential equations (ODEs) by using appropriate similarity transformations. The resulting equations are converted into initial value problems (IVPs) using the shooting method which are then solved by Runge-Kutta method of fourth order. In order to determine the stability of the dual solutions obtained, stability analysis is performed and discovered that the first (second) solution is stable (unstable) and physically realizable (unrealizable). Both the thickness of the thermal boundary layer as well as temperature increase when the Casson parameter (β) is increased in the second solution.%本文研究了Casson纳米流体在一类非线性收缩表面的流动模型.将Tiwari和Das模型应用于含铜、银的海藻酸钠纳米流体中,通过适当的相似变换,将考虑黏性耗散影响的控制非线性方程组转化为常微分方程的边界值问题(BVPS).将所得方程用打靶法转化为初值问题,再用四阶Runge-Kutta法求解.为了确定所得到的对偶解的稳定性,对第一(第二)解进行了稳定性分析,发现第一(第二)解是稳定的(不稳定的)和物理可实现的(不可实现的).在第二解中,随着Casson参数(β)的增加,热边界层的厚度增加,温度也会升高.