Abstract
This study discusses entropy generation analysis for a peristaltic flow in a rotating medium with generalized complaint walls. The goal of the current analysis is to understand the fluid flow phenomena particular to micro devices. Nano materials with a size less than 100 nm have applications in micro heat exchangers to cool electronic circuits, blood analyzers, biological cell separations, etc. For this study, we considered the effects of radiation, viscous dissipation and heat flux on the flow of nanomaterial inside a cylindrical micro-channel. To investigate the slip effects on the flow, the second order slip condition for axial velocity, the first order slip condition for secondary velocity and the thermal slip conditions were used. The flow was governed by partial differential equations (PDE’s), which were turned into a system of coupled ordinary differential equations (ODE’s) that were highly non-linear and numerically solved using the NDSolve command in Mathematica. The impacts of different involved parameters on the flow field were investigated with the aid of graphical illustrations. Entropy generation and the Bejan number were given special attention, and it was found that they decreased as the Hartman number, rotation, and radiation parameters increased.
Highlights
Peristalsis mainly refers to fluid flows driven by pressure gradients resulting from the movement of a wave along channel boundaries
The focus of this work is on the analysis of entropy generation of dual-stage nanomaterial in a peristaltic motion considering thermal fluxes and radiation, along with the boundary condition of the generalized complaint wall in a rotating channel
We discuss the physical impacts of various parameters (Hall parameter (m), radiation parameter (Rd), permeability parameter (K1 ), heat generation/absorption parameter (ε 1 ), Hartman number (M), rotation parameter (T 0 ), first and second order velocity slip parameters (α1, α2 ), secondary velocity slip (β 1 ), and thermal slip parameters (β 2 ) on axial and secondary velocities (u and v), temperature distribution (θ), entropy production (Ns), and Bejan number (Be) for the given values of t = 0.1, x = 0.2, φ = 0.01, ε = 0.3, E1 = 0.03, E2 = 0.02, E3 = 0.01, E4 = 0.03, E5 = 0.02)
Summary
Peristalsis mainly refers to fluid flows driven by pressure gradients resulting from the movement of a wave along channel boundaries. Heat transfer analysis of peristaltic flow in a complaint walls channel for viscous fluid was reported by Hayat et al [27]. The hall current investigations on peristaltic flow in a rotating medium were presented by Hayat et al [29] They considered the nanoparticles inside the channel of complaint walls. Electric current causes a magnetic field due to the movement of conducting fluid particles changes in the fluid flow because of mechanical forces [31] It has many applications in engineering, e.g., in aerodynamics, control of boundary layer, studies of plasma, energy removing from geothermal processes, MHD generator and inspection of oil; because of these applications, many inspectors focused on electrically conducting fluid passed through a porous medium with the magnetic field effects in peristalsis along transfer of mass and heat [32]. Graphs are used to explore the effects of several key parameters on the flow field
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