Impact of activation energy and variable properties on peristaltic flow through porous wall channel

Abstract

The current study discusses the peristaltic flow of Jeffrey fluid through a porous wall channel. Magnetohydrodynamic (MHD) effects are also considered while formulating the problem. Heat and mass transfers are discussed in the presence of activation energy and constant heat source/sink effects. A chemical reaction is also part of the analysis. The Lubrication approach is adopted for the simplification of resulting non-linear equations. MATHEMATICA command, NDSolve, is used to discuss the results graphically for various flow parameters like Hartman number $$(M)$$ ( M ) , porosity parameter $$(k)$$ ( k ) , slip parameters ($$\gamma ,{\gamma }_{1},{\gamma }_{2}$$ γ , γ 1 , γ 2 ), Schmidt $$(Sc)$$ ( S c ) , Soret $$(Sr)$$ ( S r ) and Prandtl $$(Pr)$$ ( P r ) numbers, and many others. Parabolic behavior for velocity and sinusoidal nature for heat transfer and pressure gradient is noticed. Results indicate that the velocity is greatly affected by varying values of slip parameters (γ′s) and Hartman number $$(H)$$ ( H ) . Enhancing the viscoelastic nature of fluid causes an increase in velocity. Similar behavior is noticed for velocity and temperature profiles. The decreasing trend is shown by concentration when the value of the chemical reaction and temperature ratio parameters is enhanced. Thus, the study presented in the current analysis can be used to study many human physiological systems especially, the blood flow. Since Jeffrey's fluid exhibits the same characteristics as observed for blood.

Analysis of the Effect of Peristaltic Transport Flux on Channel Wall: Bingham Fluid as A Model

“…Important results by studying the effect of the peristaltic flow of Bingham fluid through an irregular channel obtained, where the equation of the wall of the flow channel is in the form of a sine wave, which is a good analogy for the movement of blood through arteries and veins. Underneath, we briefly review some of the results we have drawn from this type of flow (peristaltic flow of blood through an artery) by the influence of two parameters "volume flow rate parameter 𝑄 1 and capacitance ratio of flow channel ∅", these results are mostly consistent with similar studies for Bingham fluid with different channel geometry, see [10]- [17]. The velocity of blood through the circulation increases when 𝑄 1 and ∅ are increased, respectively .…”

“…Al-Khafajy and Al-Delfi [9] presented a model of the peristaltic flow of Williamson's fluid through an elastic conduit. Recently, many studies analyzed the peristaltic flow of a Bingham fluid through different flow channel geometries, see for details [10], [11], [12], [13], [14], [15], [16], [17].…”

Multivariate Peristalsis in a Straight Rectangular Duct for Carreau Fluids

“…Peristalsis in the presence of a magnetic field has been studied for various types of fluids including such as Casson fluids [7], micropolar nanofluids [8], Prandtl fluids [9,10] Williamson nanofluids [11] and Jeffrey fluids [12]. The recently introduced Cattaneo-Christov model for heat flux, remeding the instantaneous propagation paradox in the theory of heat conduction [13], is studied in peristalsis context by Tanveer et al [14].…”

Electro-Osmotic Flow of MHD Jeffrey Fluid in a Rotating Microchannel by Peristalsis: Thermal Analysis

“…The peristalsis shows a significant role in urine passage to the bladder from the kidney, food bolus and lymph, lymphatic vessels, the gastrointestinal tract, the locomotion of worms, and different other areas. Peristaltic flow across a porous wall channel was investigated by Rafiq et al [10]. This study can be applied to several physiological systems.…”