Numerical simulation of double diffusion convection in a six-constant Jeffreys nanofluid with an inclined magnetic field and viscous dissipation: Multiple slips and thermal radiation analysis with peristalsis

Abstract

The exploration of peristaltic pumping and heat transfer in magnetohydrodynamic biofluids holds considerable significance with diverse physiological applications, including their use in surgical equipment for the heart, drug injection, cancer therapies, and dialysis. These studies find relevance in various industrial processes, such as the production of pharmaceutical fluids, liquid filtration, and the contamination-free dispensing of cosmetic/glue emulsions. Consequently, the current analysis delves into the intricacies of thermal emission and viscous dissolution in the peristaltic movement of a six-constant Jeffreys magneto-nanofluid within an asymmetric channel. This investigation considers double diffusion convection and incorporates slip conditions. The energy equation is formulated, incorporating features of thermal dispersion and viscous dissolution. The initial model includes a collection of non-linear partial differential equations (PDEs). To simplify the problems, the analysis is made simpler under the supposition of a small Reynolds number and large wavelength, leading to the governing system of PDEs that is further computed using the numerical technique NDSolve. A detailed analysis is conducted for various parameters, including nanoparticle fraction, pressure increase, velocity, temperature, pressure gradient, concentration, and stream functions. Graphical presentations of the obtained results showcase the influence of different flow quantities, noting that the temperature profile boosts due to the growing impact of the increasing concentration of thermal slip, while concentration decreases owing to the increasing concentration of the slip parameter. Moreover, it is also noted that as the thermophoresis parameter, thermal slip parameter, and Brinkman number increase, the temperature profile increases; conversely, it decreases with the thermal radiation parameter.