The line of inquiry of this abstract is peristaltic transport of nanofluids. The subject study focuses on alumina–water nanoparticles with different shape effects such as platelets, cylinders, bricks comprising slip effects and MHD. In this research, the outcome of wall properties, velocity and condition of thermal slip are testified. Moreover, substantial boundary conditions are applied on dimensionless control equations to obtain precise/exact solutions. The graphical depiction of thermal conductivity, temperature, velocity, and heat transfer phenomenon for flow parameters are also portrayed for different nanoparticle shapes. Brick nanoparticles have been shown to support the highest velocity curve. Another engrossing aspect of the peristaltic movement known as trapping is also examined. The investigation of MHD nanoparticles, with an endoscope in a non-uniform tube, has produced fruitful results. These results will be helpful in the field of biological sciences, especially in diagnosis and curing many diseases. Additionally, under-discussion model is also relevant for a drug supply process that offers several drug geometries and likewise relevant for the manufacturing scheme of a peristaltic micro-pump for the transport of nanofluids.