MODELING NANOPARTICLE GEOMETRY EFFECTS ON PERISTALTIC PUMPING OF MEDICAL MAGNETOHYDRODYNAMIC NANOFLUIDS WITH HEAT TRANSFER

Abstract

Magnetic nanofluid technologies are emerging in numerous areas including medicine, lubrication (smart tribology), pharmacology, etc. In this paper, we examine heat diffusion in hydromagnetic nanofluids in a peristaltic system, motivated by applications in medical drug delivery systems and gastric magnetographic monitoring. The mathematical formulation encompasses momentum and heat conservation equations with appropriate boundary conditions for compliant walls. Sophisticated correlations are employed for thermal conductivity of the nanoparticles. The nonlinear boundary value problem is normalized with appropriate variables and closed-form solutions are derived for stream function, pressure gradient and temperature profile. Analytical solutions are evaluated numerically with MATHEMATICA symbolic software. Validation of computations is performed for the nonlinear moving boundary value problem via a Chebyschev spectral collocation method (CSM). A detailed study is performed for the influence of various nanoparticle geometries (bricks, cylinders and platelets). With greater magnetic field, flow velocity is enhanced for platelet nanoparticles whereas it is depressed for brick particles. Temperature is dramatically modified with nanoparticle geometry and greater thermal conductivity is achieved with brick-shaped nanoparticles in the fluid, with implications for optimized medical device systems.