Heat transfer and electroosmosis driven MHD peristaltic pumping in a microchannel with multiple slips and fluid properties

The combined study of electroosmosis, peristalsis, and heat transfer with multiple slips like velocity slip, thermal slip, and concentration slip, is applicable in designing biomimetic thermal pumping systems at the microscale of interest in physiological transport phenomena, such as drug delivery systems. A mathematical model is developed to study the non-Newtonian (third-grade) fluid flow driven by the applicable forces to generate the pressure gradient under the effects of rheological properties. The analysis is performed in an electro-magnetohydrodynamic environment to examine the Lorentz force effect. The microchannel walls are propagating and subjected to natural peristaltic pumping. The Poisson and the Nernst–Planck equations are utilized to model electroosmotic phenomena. The Debye–Hückel approximation is considered to acquire Boltzmann circulation of electric potential across the electric double layer. The low-Reynolds-number and long-wavelength approximations are employed to simplify the governing equations. Simplified coupled nonlinear governing equations are simulated by the ND Solver of Mathematica software and validated with existing results. The impact of emerging physical parameters on flow, heat transfer, and pumping characteristics are discussed. Additionally, a fundamental peristaltic pumping phenomenon known as trapping is graphically provided and briefly discussed.