Significance of Slippage and Electric Field in Mucociliary Transport of Biomagnetic Fluid

Abstract

Shear stress at the cilia wall is considered as an imperative factor that affects the efficiency of cilia beatings as it describes the momentum transfer between the fluid and the cilia. We consider a visco-inelastic Prandtl fluid in a ciliated channel under electro-osmotic pumping and the slippage effect at cilia surface. Cilia beating is responsible for the stimulation of the flow in the channel. Evenly distributed cilia tend to move in a coordinated rhythm to mobilize propulsive metachronal waves along the channel surface by achieving elliptic trajectory movements in the flow direction. After using lubrication approximations, the governing equations are solved by the perturbation method. The pressure rise per metachronal wavelength is obtained by numerically integrating the expression. The effects of the physical parameters of interest on various flow quantities, such as velocity, pressure gradient, pressure rise, stream function, and shear stress at the ciliated wall, are discussed through graphs. The analysis reveals that the axial velocity is enhanced by escalating the Helmholtz–Smoluchowski velocity and the electro-osmosis effects near the elastic wall. The shear stress at the ciliated boundary elevates with an increase in the cilia length and the eccentricity of the cilia structure.

Thermal Case Study of Cilia Actuated Transport of Radiated Blood-Based Ternary Nanofluid under the Action of Tilted Magnetic Field

“…They reported that inside the microchannel, the axial flow rate is a decreasing function of the rotating Reynolds number, and the flowrate attains a steady conduct under high electroosmotic effect. Some interesting mathematical models of biological flows through microchannels are reported as an application of microfluidic pump flows [12][13][14][15].…”

Modeling of three dimensional Prandtl hybrid nano-material over a heated rotating cone involving hall and ion slip currents via finite element procedure

“…They computed the solution of modeled equations analytically via perturbation tool. Perturbation solution is computed by Munawar 6 and analyzed the phenomenon of peristaltic transport in a channel. They noticed the decrease in fluid velocity against magnetic parameter.…”

Cilia beating modulated radiating ternary nanofluids flow in a corrugated asymmetric channel with electromagnetohydrodynamic and momentum slip

“…Prakash et al 10 studied the electroosmotic modulated capillary peristaltic hemodynamics that is useful in electrohydrodynamic therapy. The impact of electroosmotic flow in the microchannel with slippage is discussed by Munawar 11 . In the context of non‐Newtonian fluid, Jayavel et al 12 observed that the nanoparticle volume fraction is efficient to reduce the heat temperature of the pseudoplastic fluid.…”