The effects of diffusion on the mechanism of peristaltic flow at slip boundaries when internal Joule heating is present

Abstract Physiological applications of the study of heat transfer and peristaltic pumping of magnetohydrodynamic thermal diffusion include heart–lung machines during surgery, dialysis, vitamin injections, and cancer treatment. In addition, it has numerous industrial applications, including pharmaceutical fluid production, filtration, and contamination‐free cosmetic and glue emulsion dispensing. Studying the influence of diffusion‐thermo and thermal diffusion on peristaltic flow with slip boundaries propelled by internal Joule energy is the key motivation for this study. By utilizing a long‐wavelength approximation, ignoring the wave number, and performing under conditions of low Reynolds number, closed‐form solutions for the velocity, temperature, and concentration fields are achieved. Fluid flow along the axial pressure gradient tends to decrease as slip parameters increase. It is shown that when the amount of the second‐order slipping parameter increases, the pressure rate decreases in the back and peristaltic pumping zones but increases in the copump zone. The fluid's temperature and concentration tend to decrease as the slip parameters increase. Changes in thermal diffusion and thermo‐diffusion factors cause changes in the fluid's temperature and concentration. The Nusselt number improves as a result of increasing the Prandtl number, thermo‐diffusion constraint, Dufour number, and Schmidt number, whereas the Sherwood number exhibits the reverse trend.

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