Analysis of radiative heat transfer on electro‐osmotic magneto nanofluid flow through ciliary propulsion

Abstract

AbstractA novel mathematical investigation is carried out to reveal the significance of thermal radiation on the dissipative magneto hydrodynamic electroosmotic ciliary propulsion of a Newtonian nanofluid (DMHECP‐NNF) in an symmetric micro‐channel by implementing the impact of an axial electrical as well as transverse magnetic fields. The ciliary transport model is explored by using conservation of mass and momentum, heat, nanoparticle concentration, and electric potential expressions along with associated boundary conditions. The pertinent system for the proposed flow problem DMHECP‐NNF consisting of partial differential equations are converted into ordinary differential equations system by incorporating the strengths dimensionless mechanism. Then analytical expressions are found for electrical potential, axial velocity, stream function, pressure gradient, temperature and concentration profiles. Whereas numerical computations are carried out to study transverse velocity and rise of pressure as per wavelength. The impacts of significant physical quantities of DMHECP‐NNF are investigated with the help of graphical manipulations. It is observed in this novel study that axial velocity rises initially and then decline with increase in the magnitude of electro‐osmotic parameter and Helmholtz‐Smoluchowski velocity. Also, it is seen that with the rising value of electric‐osmotic parameter the complexion of the trapped bolus is inflated and surrounded by few streamlines.