In the present investigation, the effect of multi-slip condition on peristaltic flow through asymmetric channel with Joule heating effect is considered. We also considered the incompressible non-Newtonian Casson nanofluid model for blood, which is electrically conducting. Second law of thermodynamics is used to examine the entropy generation. Multi-slip condition is used at the boundary of the wall and the analysis is also restricted under the low Reynolds number and long wavelength assumption. The governing equations were transformed into a non-dimensional form by using suitable terms. The reduced non-dimensional highly nonlinear partial differential equations are solved by using the Homotopy Perturbation Sumudu transformation method (HPSTM). The influence of different physical parameters on dimensionless velocity, pressure gradient, temperature, concentration and nanoparticle is graphically presented. From the results, one can understand that the Joule heating effect controls the heat transfer in the system and as the magnetic parameter is increased, there will be decay in the velocity of fluid. The outcomes of the present investigation can be applicable in examining the chyme motion in the gastrointestinal tract and controlling the blood flow during surgery. Present study shows an excellent agreement with the previously available studies in the limiting case. 

在本研究中，考虑了多滑移条件对通过具有焦耳热效应的不对称通道的蠕动流的影响。我们还考虑了不可压缩的非牛顿卡森血液纳米流体模型，它是导电的。热力学第二定律用于检查熵的产生。壁面边界采用多滑移条件，分析也受到低雷诺数和长波长假设的限制。通过使用合适的项将控制方程转换为无量纲形式。利用同伦微扰苏姆杜变换法（HPSTM）求解降维无维高度非线性偏微分方程。以图形方式呈现不同物理参数对无量纲速度、压力梯度、温度、浓度和纳米粒子的影响。从结果可以看出，焦耳热效应控制着系统中的传热，并且随着磁参数的增加，流体的速度会衰减。本研究的结果可用于检查胃肠道中的食糜运动和控制手术期间的血流。目前的研究表明，在极限情况下，与之前的研究非常一致。