The significance of peristaltic activity in biological and biomedical engineering has recently received a lot of attention. Peristaltic pumping and heat transfer in magnetohydrodynamic biological fluids are fascinating topics with a wide range of physiological applications. These applications include dialysis, medication injection, cardiac surgery equipment, and cancer treatments. In this work, we investigate the characteristics of Casson fluid and peristalsis in a symmetric elastic tube. Buongiorno nanofluid model is taken with the features of thermophoresis and Brownian motion. The heat transfer mechanism is analyzed by acquiring the effects of heat dissipation, absorption/generation, and thermal radiation. A long wavelength is also anticipated when developing the flow model, which is predicated on a short Reynolds number. The non‐linear system of equations is numerically solved. Graphical outcomes are acquired to visualize the physical interpretation of several embedded parameters for heat transfer rate, concentration, velocity, and temperature.