Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan.
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdul-Aziz University Jeddah, P. O. Box 80207 21589, Saudi Arabia.
Comput Methods Programs Biomed. 2020 Feb;184:105104. doi: 10.1016/j.cmpb.2019.105104. Epub 2019 Oct 4.
This manuscript elaborates the three-dimensional radiated Darcy-Forchheimer viscous liquid flow subject to permeable stretched surface. The stretched surface is nonlinear and saturated via Darcy-Forchheimer medium. Energy expression is derived through implementation of first of thermodynamics and discussed subject to convective condition and nonlinear heat flux. Mixed convection is also considered.
The governing systems of nonlinear equations are tackled numerically by Shooting method.
Graphical results are depicted and examined with different values of non-dimensional parameters for velocity and energy equations respectively. Drag force and Nusselt number are computationally computed and analyzed through Tables.
It is concluded from the derived outcomes that both component of velocity decay against higher values of local inertia coefficient and inverse Darcy number variables. For suction case both velocities increases while opposite trend is observed for injection case. Temperature profile has an increasing impact for higher values of Radiation, and Biot number while opposite result is seen for injection. Drag force or skin friction declines via larger injection variable. Nusselt number increases for radiation variable.
本文阐述了可渗透扩展表面的三维辐射达西-Forchheimer 粘性液体流动。扩展表面是通过达西-Forchheimer 介质实现非线性和饱和的。通过实施热力学第一定律,导出了能量表达式,并在对流条件和非线性热通量下进行了讨论。还考虑了混合对流。
通过打靶法对非线性方程组的控制方程进行数值求解。
分别用无量纲速度和能量方程的不同值描绘和检查了图形结果。通过表格计算并分析了阻力和努塞尔数。
从得出的结果可以得出结论,局部惯性系数和逆达西数变量的较大值会导致速度分量衰减。对于抽吸情况,两个速度都会增加,而对于注入情况,则会出现相反的趋势。温度分布对辐射和 Biot 数的较大值有增加的影响,而对于注入则相反。较大的注入变量会导致阻力或表面摩擦减小。努塞尔数随辐射变量的增加而增加。