Effects of hall currents with heat and mass transfer on the peristaltic transport of a Casson fluid through a porous medium in a vertical circular cylinder

Abstract

In the current paper, the peristaltic transport of a non-Newtonian fluid obeying a Casson model with heat and mass transfer inside a vertical circular cylinder is studied. The considered system is affected by a strong horizontal uniform magnetic field together with the heat radiation and the Hall current. The problem is modulated mathematically by a system of PDE that describe the basic behavior of the fluid motion. The boundary value problem is analytically solved with the appropriate boundary conditions in accordance with the special case, in the absence of the Eckert number. The solutions are obtained in terms of the modified Bessel function of the first kind. Again, in the general case, the system is solved by means of the homotopy perturbation and then numerically through the Runge-Kutta Merson with a shooting technique. A comparison is done between these two methods. Therefore, the velocity, temperature and concentration distributions are obtained. A set of diagrams are plotted to illustrate the influence of the various physical parameters in the forgoing distributions. Finally, the trapping phenomenon is also discussed.

Peristaltic Transport of Carreau Coupled Stress Nanofluid with Cattaneo-Christov Heat Flux Model Inside a Symmetric Channel

“…Also, Schmidt number is inversely proportional to mass diffusivity, that is, the higher the Schmidt number, the less mass diffusivity, hence nano concentration distribution drops. This observed finding corresponds to those observed in [9], [11], [12], [13], [14], [34], [35], and [39]. The impacts of 𝑅 𝑐𝑟 and 𝐵 𝑚1 on 𝐹 𝑁 are examined.…”

“…HPM can be applied to make another approximate solution for these equations after utilizing (27). According to HPM [33,34,[39][40][41][42][43][44], we suppose that 𝑞 𝜁0 , 𝜃 𝐸0 and 𝐹 N0 have the solution of the form 𝛴 0 = Σ 00 + 𝑃 𝐻 𝛴 01 + P 𝐻 2 𝛴 02 +⋅⋅⋅⋅⋅⋅⋅⋅⋅ (28) where, 𝛴 refers to any one of these distributions 𝑞 𝜁0 , 𝜃 𝐸0 with𝐹 N0 . The linear operators may be represented as 𝐿 1 (𝑞 𝜁 ) = 𝜕 6…”

“…Following [33,34,39], the polarization voltage isn't taken into our consideration (i.e., the total electric field is vanishing 𝐸 𝑙 = 0). Thus, the current density 𝐽 1 may be expressed as follows…”

“…Fluid trapping and material reflux are two interesting phenomena related to peristaltic flows. The peristaltic flow mechanism has become a major concern of numerous researchers [33][34][35][36][37][38].…”