A theoretical study is conducted to examine the peristaltic pumping with double-diffusive convection in Jeffery nanofluids through a two-dimensional infinite asymmetric channel. The flow is examined in a wave casing of orientation that moves pace with the velocity of the wave. The peristaltic wave train on the walls that have different amplitude and phase is chosen to form channel irregularity. Rosseland approximation is noticed in the modeling of the transmission radiation heat transfer and temperatures of the walls are recognized constants. The replica has a great impact in discovering nanofluid dynamic influences on peristaltic motion, in biological vessels as symbolized by transportation of heat in blood flow, food molecules, hormones, novel pharmacodynamics pumps, and engineered gastrointestinal motility enhancement. Peristaltic motion has applications in physiology, such as transport of urine, transport of food bolus through gastrointestinal tract, and transport of blood through small blood vessels. Analytical results have been established for stream function, axial velocity, temperature, and absorption and nanoparticle volume fraction. The effect of the principal hydrodynamic parameters (thermophoresis, Brownian motion, Dufour, and Soret) and Grashof numbers (concentration, thermal, nanoparticle) on peristaltic transport patterns with double-diffusive convection are deliberated with the support of computational outcomes found. The pictorial investigation is done to investigate the possessions of miscellaneous limitations on flow quantities of curiosity.Base fluids have lower thermal conductivities than nanometer-sized particles for which it is very higher. Nanofluids play a major role in improving thermal conductivities. Further, nanofluids are used in power generation, drug delivery, cancer therapy, etc. In addition to that, magneto-nanofluids have interesting applications in most fields. Choi and Eastman 1 found the improvement of heat transfer routine of the ordinary fluids with the help of metallic nanoparticles by dramatically increasing the thermal conductivities.Buongiorno 2 provided a template for circular motion in nanofluids, and, keen on that, Brownian diffusion and thermomigration are the significant slip mechanisms. Albeit such improvements in the works, the non-Newtonian fluids have added a great deal of responsiveness in many industrial and engineering applications. As a supplement study, the Navier-Stokes equations are not apt to present the flow of non-Newtonian fluids. Various communications are analyzed in the collective works to predict the characteristics of such fluids and one of the materials is Jeffrey material 3 that considers time derivatives, whereas non-Newtonian fluid mechanics assumes convective derivatives.The suspensions of small sized (1-100 nm) metallic particles into a base fluid results in the formation of nanofluids. The blending of strong particles into base liquids like water, motor oil, ethylene glycol (EG), and so on, makes these liquids. The structure of nanopartic...