Analysis of slip effects on slow viscoelastic flow of second order fluid through a small diameter permeable tube

Abstract The present work makes an analysis on the effects of second-order velocity slip and temperature jump boundary conditions for third-grade nanofluid over a coaxial cylinder. In the modeling of blood-based nanofluids containing metal or metal oxide nanoparticles, the viscosity is approximated to second-order Maclaurin’s series for the first time and the effective density is handled to a combination of temperature and nanoparticles volume fraction. The governing equations are transformed into a dimensionless system of nonlinear differential equations and solved by homotopy analysis method (HAM). The accuracy and efficiency of the HAM solutions are verified by ℏ $$\hbar $$ -curves and residual error curves using package BVPh2.0. The physical interpretations are illustrated by graphs and tables. The results revealed that the Nusselt number increases with an increase of nanoparticle volume fraction. The second-order velocity slip has a significant weakened effect on the skin friction. In addition, the Brownian motion and thermophoresis movement are collaborating to increase the temperature profile.

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Application of Recursive Theory of Slow Viscoelastic Flow to the Hydrodynamics of Second-Order Fluid Flowing through a Uniformly Porous Circular Tube

Mathematics ◽

10.3390/math8071170 ◽

2020 ◽

Vol 8 (7) ◽

pp. 1170 ◽

Cited By ~ 1

Author(s):

Kaleemullah Bhatti ◽

Abdul Majeed Siddiqui ◽

Zarqa Bano

Keyword(s):

Reynolds Number ◽

Stream Function ◽

Stokes Equations ◽

Circular Tube ◽

Volume Flow Rate ◽

Small Diameter ◽

Second Order ◽

Navier Stokes ◽

Flow Variables ◽

Analytical Expressions

Slow velocity fluid flow problems in small diameter channels have many important applications in science and industry. Many researchers have modeled the flow through renal tubule, hollow fiber dialyzer and flat plate dialyzer using Navier Stokes equations with suitable simplifying assumptions and boundary conditions. The aim of this article is to investigate the hydrodynamical aspects of steady, axisymmetric and slow flow of a general second-order Rivlin-Ericksen fluid in a porous-walled circular tube with constant wall permeability. The governing compatibility equation have been derived and solved analytically for the stream function by applying Langlois recursive approach for slow viscoelastic flows. Analytical expressions for velocity components, pressure, volume flow rate, fractional reabsorption, wall shear stress and stream function have been obtained correct to third order. The effects of wall Reynolds number and certain non-Newtonian parameters have been studied and presented graphically. The obtained analytical expressions are in agreement with the existing solutions in literature if non-Newtonian parameters approach to zero. The solutions obtained in this article may be considered as a generalization to the existing work. The results indicate that there is a significant dependence of the flow variables on the wall Reynolds number and non-Newtonian parameters.

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Adsorption of Estrogenic Hormones in Aqueous Solution Using Electrospun Nanofibers From Waste Cigarette Butts: Kinetics, Mechanism, and Reusability

10.21203/rs.3.rs-837192/v1 ◽

2021 ◽

Author(s):

Muhammad Yasir ◽

Tomáš Šopík ◽

Rahul Patwa ◽

Dušan Kimmer ◽

Vladimír Sedlařík

Keyword(s):

Fractional Power ◽

Small Diameter ◽

Electrospun Nanofibers ◽

Second Order ◽

Order Kinetic ◽

Suitable Alternative ◽

First Order ◽

Estrogenic Hormones ◽

Pseudo Second Order ◽

Pseudo First Order

Abstract This study emphasizes rapid and simultaneous adsorptive removal of estrogenic hormones (EHs): estrone (E1), 17β-estradiol (E2), 17α-ethinylestradiol (EE2), and estriol (E3) from wastewater using recycled waste cigarette electrospun nanofibers (WCENFs). The nanofibers exhibited a small diameter (196±65 nm) and large surface area (18.05 m 2 /g), along with a strong affinity towards all EHs by adsorption due to abundant hydrogen bonding interactions. A one-step high-performance liquid chromatography technique was developed to detect each EH present in the solution simultaneously. The adsorption kinetics helps select optimum conditions for the large-scale removal process, so experimental data using pseudo-first-order, pseudo-second-order, intra-particle diffusion, Elovich, and fractional power models were fitted. It was found that E1, E2, and EE2 followed pseudo-second-order kinetics while E3 followed pseudo-first-order kinetic models. The total adsorption capacity on WCENFs was determined to be 2.14 mg/g, whereas the individual adsorption capacities of E1, E2, EE2, and E3 were found to be 0.551, 0.532, 0.687, and 0.369 mg/g, respectively. The percentage efficiency of WCENFs was highest with EE2 ~64.3% and least with E3 ~34.6%. Adsorption-desorption studies revealed that WCENFs could repeatedly be used four times. The reported results indicate a significant potential of WCENFs to be an effective sorbent and portable filter for simultaneous estrogenic hormone removal. WCENFs filter is a suitable alternative to commercial Cellulose acetate filters.

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