Hybrid impact of thermal and concentration convection on peristaltic pumping of Prandtl nanofluids in non-uniform inclined channel and magnetic field

Abstract

In this study, the effects of thermal and concentration convection on the peristaltic transport of Prandtl nanofluids and inclined magnetic field in non-uniform inclined channel is discussed. The mathematical modelling of Prandtl nanofluids with inclined magnetic field and double-diffusivity convection are described in detail. The long wavelength and low approximation of the Reynolds number are used to simplify partial differential equations that are strongly nonlinear in nature. The strongly non-linear differential equations are solved using numerical technique. The closed form solution of nanoparticle, temperature and concentration are found. Numerical and graphical results are shown to see the impact of the different physical parameters (Soret, Dufour, thermophoresis, Brownian motion, Hartmann number) on peristaltic pumping patterns with double diffusive convection. Pharmacodynamics pumps and engineered gastro-intestinal motility stimulation are advantages of the current problem.

Keywords

• Nanofluids
• Thermal and concentration convection
• Peristaltic flow
• Inclined magnetic field
• Non-uniform channel
• Prandtl fluid