Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.
Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan.
PLoS One. 2014 Apr 15;9(4):e95070. doi: 10.1371/journal.pone.0095070. eCollection 2014.
The wide occurrence of peristaltic pumping should not be surprising at all since it results physiologically from neuro-muscular properties of any tubular smooth muscle. Of special concern here is to predict the rheological effects on the peristaltic motion in a curved channel. Attention is focused to develop and simulate a nonlinear mathematical model for Carreau-Yasuda fluid. The progressive wave front of peristaltic flow is taken sinusoidal (expansion/contraction type). The governing problem is challenge since it has nonlinear differential equation and nonlinear boundary conditions even in the long wavelength and low Reynolds number regime. Numerical solutions for various flow quantities of interest are presented. Comparison for different flow situations is also made. Results of physical quantities are interpreted with particular emphasis to rheological characteristics.
由于任何管状平滑肌的神经肌肉特性都会导致蠕动泵送的广泛发生，因此这一点也不奇怪。这里特别关注的是预测在弯曲通道中蠕动运动的流变学效应。我们致力于开发和模拟 Carreau-Yasuda 流体的非线性数学模型。蠕动流的前进波阵面被取为正弦形（扩张/收缩型）。即使在长波长和低雷诺数的情况下，这个控制问题也具有非线性微分方程和非线性边界条件，因此极具挑战性。给出了各种感兴趣的流动量的数值解。还对不同的流动情况进行了比较。特别强调流变特性来解释物理量的结果。
