Analysis of Joule heating and chemical reaction effects in electroosmosis peristaltic transport of couple‐stress and micropolar fluids

Abstract

This article features the reaction of electroosmosis peristaltic transport of combined couple‐stress and micropolar fluid in an inclined asymmetric channel through a porous medium. Mathematical modeling is given in the presence of Joule heating, thermal radiation, and heat flux effects. The relevant equations are computed subject to long wavelength and small Reynolds number approximation. The coupled system resulting equations have been executed computationally to plot different effects graphically. A detailed analysis of the results is given through graphs. Graphs are plotted for velocity, temperature, concentration, and pumping characteristics. The impact of each significant parameter on flow, species, and thermal characteristics is enumerated in these studies. The influence of couple stress and electroosmosis parameters are also simulated. This problem is very significant to the discussion of chemical separation/fraternization procedures and bio‐microfluidics devices for the resolution of the diagnosis.

Solidification of electrically conducting liquid flow driven by shear and pressure gradients subject to viscous and Joule heating

“…This is exactly the same dimensionless solution of the quasi‐steady condition of the Couette‐laminar flow between two parallel plates which is, for example, presented in Alexiades et al 25 Moreover, when the Biot number approaches infinity ( Bi → ∞ ) which corresponds to the isothermal boundary condition at the bottom plate, the solution obtained in Equation (39) can be further reduced to $$$\unicode{x02206}(\tau )={[2. {St}e\cdot \tau ]}^{1/2}$$$…”

“…In fact, the location of the interface front is a function of time and the temperature of the liquid and the solid are both equal to the fusion temperature at this location. However, the temperature distribution in the liquid and solid side described by Equations ( 16) and (25), respectively, are coupled by the Stefan condition which represents the temporal variations of the solid layer thickness as follows:…”

“…An experimental study of liquid metal heat transfer in a vertical duct affected by a coplanar magnetic field directed upward and downward was performed in Razuvanov et al, 19,20 respectively. The impact of magnetic field and thermal radiation on the flow and heat transfer was extensively investigated in Kumar and colleagues 21–25 . Chen and Shen 26 conducted a numerical study on the solidification characteristic under a pulsed magnetic field.…”

“…The impact of magnetic field and thermal radiation on the flow and heat transfer was extensively investigated in Kumar and colleagues. [21][22][23][24][25] Chen and Shen 26 conducted a numerical study on the solidification characteristic under a pulsed magnetic field. Furthermore, recently, Avnaim et al 27 discussed a numerical and experimental investigation of solidification in a rectangular cavity to characterize a melt flow under a traveling magnetic field.…”

Numerical study of Williamson fluid flow and heat transfer over a permeable stretching cylinder with the effects of Joule heating and heat generation/absorption

“…Devi et al 32 did some parametric analysis of nanofluid over a stretching sheet. Reddy et al 33 performed this study inside an inclined asymmetric channel with the presence of thermal radiation, Joule heating, and heat flux. However, in none of the aforementioned studies heat generation/absorption was included over a permeable stretching sheet.…”