In this novel numerical investigation, the application of well-renowned numerical technique known as Galerkin finite element method on full form of Navier-Stokes equations presented peristaltic flow of non-Newtonian fluid confined by a uniformly saturated porous medium. The rheological aspects of non-Newtonian material are discussed by considering micropolar fluid. The flow model consists of system of nonlinear partial differential equations with mixed boundary condition. The flow also experienced an externally applied magnetic field. The effects of inertial forces and the results independent of wavelength are obtained by dropping the presumptions of lubrication theory in modelling the governing equations. The numerical solution for formulated problem in terms of partial differential expressions is worked out via Galerkin finite technique in view of six nodal triangular elements. The enhancement in the inertial forces gives impressive pressure enhancement against wavelength while opposed the fluid flow in the vicinity of peristaltic walls of the tube but supported the fluid flow in the central region of the tube. The present results are also compared with the available results after applying lubrication theory and found in reliable agreement.

在这项新颖的数值研究中，著名的数值技术（称为 Galerkin 有限元方法）在完整形式的 Navier-Stokes 方程上的应用呈现了受均匀饱和多孔介质限制的非牛顿流体的蠕动流。通过考虑微极流体来讨论非牛顿材料的流变方面。流动模型由具有混合边界条件的非线性偏微分方程组组成。该流还经历了外部施加的磁场。惯性力的影响和与波长无关的结果是通过在对控制方程建模时放弃润滑理论的假设来获得的。利用伽辽金有限技术，针对六个节点的三角形单元，求解了偏微分表达式问题的数值解。惯性力的增强提供了令人印象深刻的相对于波长的压力增强，同时与管的蠕动壁附近的流体流动相反，但支持了管中心区域的流体流动。目前的结果还与应用润滑理论后的可用结果进行了比较，并发现了可靠的一致性。