Hayat Tasawar, Qayyum Sajid, Alsaedi Ahmed, Asghar Saleem
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, Pakistan.
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.
PLoS One. 2017 Apr 25;12(4):e0175584. doi: 10.1371/journal.pone.0175584. eCollection 2017.
This study investigates the mixed convection flow of Jeffrey liquid by an impermeable inclined stretching cylinder. Thermal radiation and non-uniform heat source/sink are considered. The convective boundary conditions at surface are imposed. Nonlinear expressions of momentum, energy and concentration are transformed into dimensionless systems. Convergent homotopic solutions of the governing systems are worked out by employing homotopic procedure. Impact of physical variables on the velocity, temperature and concentration distributions are sketched and discussed. Numerical computations for skin friction coefficient, local Nusselt and Sherwood numbers are carried out. It is concluded that velocity field enhances for Deborah number while reverse situation is observed regarding ratio of relaxation to retardation times. Temperature and heat transfer rate are enhanced via larger thermal Biot number. Effect of Schmidt number on the concentration and local Sherwood number is quite reverse.
本研究考察了不可渗透倾斜拉伸圆柱引起的Jeffrey流体混合对流流动。考虑了热辐射和非均匀热源/热汇。施加了表面的对流边界条件。将动量、能量和浓度的非线性表达式转化为无量纲系统。采用同伦方法求出了控制系统的收敛同伦解。绘制并讨论了物理变量对速度、温度和浓度分布的影响。对表面摩擦系数、局部努塞尔数和舍伍德数进行了数值计算。得出结论:德博拉数增大时速度场增强,而松弛时间与延迟时间之比的情况则相反。热比奥数越大,温度和传热速率越高。施密特数对浓度和局部舍伍德数的影响则相反。