A theoretical approach to mathematical modeling of sperm swimming in viscoelastic Ellis fluid in a passive canal

Asghar, Zeeshan; Shah, Rehman Ali; Shatanawi, Wasfı; Ali, Nasir

doi:10.1007/s00419-022-02343-7

Cited by 14 publications

(3 citation statements)

References 43 publications

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“…Very recently, Atif et al, 26 provided the exact and numerical solution in roll-over-web coating process using Rabinowitsch model. Moreover, the study of different non-Newtonian fluids has been reported 21,[27][28][29][30][31][32][33][34] in coating, calendaring, sperm swimming, cilia motion and electro-osmotic flows. [35][36][37][38][39] In the above mentioned review, no attempt has been made to capture the viscoelastic effects using Simplified Phan-Thien Tanner (SPTT) model during roll-over-web coating analysis.…”

Section: Introductionmentioning

confidence: 99%

Mathematical study of viscoelastic polymer during roll-over-web coating

Atif,

Jabeen,

Javed

2023

Journal of Plastic Film & Sheeting

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Roll-coating, also known as roll-to-roll coating or web coating is a continuous and high-speed method used in various industrial applications to apply a thin and uniform layer of material onto a substrate. This process is commonly employed in industries such as electronics, photovoltaic, printing, packaging, and other fields where precise and consistent coating is essential. Here we present an asymptotic analysis of forward roll coating over a rigid substrate for low Weissenberg number viscoelastic fluids. The analysis uses lubrication theory coupled with regular perturbation theory assuming a simplified Phan-Thien-Tanner (SPPT) constitutive equation and small values of the extensibility parameter ε. The analytical expressions of velocity fields, pressure gradient and pressure fields are obtained while the load carrying force, and power input are estimated by numerical solutions (4th order Runge-Kutta). Increases in both Wi and ε increases the pressure gradient in the nip region and increases in viscoelasticity reduce the overall force on the roll. Further, SPTT model predicts 14% lower pressure for [Formula: see text] in the nip region when compared to Newtonian model.

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Section: Introductionmentioning

confidence: 99%

Mathematical study of viscoelastic polymer during roll-over-web coating

Atif,

Jabeen,

Javed

2023

Journal of Plastic Film & Sheeting

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“…Blood-carrying vessels that are horizontal or vertical were taken into account in all the investigations listed before. Analysis of low Reynolds number flow generated in complex wavy surfaces has been discussed by Asgar et al [40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

Computer Simulation of Heat and Mass Transfer Effects on Nanofluid Flow of Blood Through an Inclined Stenosed Artery With Hall Effect

Mishra

2024

Acta Mechanica Et Automatica

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The present study deals with the analysis of heat and mass transfer for nanofluid flow of blood through an inclined stenosed artery under the influence of the Hall effect. The effects of hematocrit-dependent viscosity, Joule heating, chemical reaction and viscous dissipation are taken into account in the governing equations of the physical model. Non-dimensional differential equations are solved using the finite difference method, by taking into account the no-slip boundary condition. The effects of different thermophysical parameters on the velocity, temperature, concentration, shear stress coefficient and Nusselt and Sherwood numbers of nano-biofluids are exhaustively discussed and analysed through graphs. With an increase in stenosis height, shear stress, the Nusselt number and the Sherwood number are computed, and the impacts of each are examined for different physical parameters. To better understand the numerous phenomena that arise in the artery when nanofluid is present, the data are displayed graphically and physically described. It is observed that as the Hartman number and Hall parameter increase, the velocity drops. This is as a result of the Lorentz force that the applied magnetic field has generated. Blood flow in the arteries is resisted by the Lorentz force. This study advances the knowledge of stenosis and other defects’ non-surgical treatment options and helps reduce post-operative consequences. Moreover, ongoing research holds promise in the biomedical field, specifically in magnetic resonance angiography (MRA), an imaging method for artery examination and anomaly detection.

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“…Motion resistance is an essential fluid characteristic, and its mechanism analysis, simulation, and regulation are widely studied [5][6][7][8][9][10][11]. The method of coating the flow surface with drag-reduction materials to reduce the roughness and enhance protective capabilities was first applied to long-distance oil and gas pipelines, such as the Zeepipe pipeline in Norway [12] and the Alliance pipeline between Canada and the United States [13], both of which were internally coated with epoxy resin.…”

Section: Introductionmentioning

confidence: 99%

Experimental Study of Roughness Reduction of Large Aqueducts in the Middle Route of the South-to-North Water Diversion Project

Cui

Chen

et al. 2023

Water

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The roughness of the aqueduct in the Middle Route of the South-to-North Water Diversion Project has increased due to factors such as the natural aging of concrete and biological attachment. To increase the flow capacity of the project, a roughness reduction test was carried out in April 2021 by installing a nano-rubber coating on the Fangshui River aqueduct, which consists of three aqueduct bodies arranged in parallel. Before and after the test, as well as two years after the test, three field observations were conducted. The analysis revealed that compared to aqueduct body 2, which was only cleaned of surface attachments, after excluding the difference in the background roughness, the nano-rubber coating reduced the roughness of aqueduct body 1 by 0.0013 (10.00%). After two years of operation, the roughness was 0.0010 (7.41%) lower, indicating that the nano-rubber coating had a good and lasting effect on the roughness reduction. The roughness field observation results are sensitive to flow rate and water level measurement errors. For aqueducts with a low head and a high flow rate similar to those of the Fangshui River aqueduct, non-contact measuring instruments should be preferentially utilized, and sufficiently accurate flow rate measurements should be ensured to improve the accuracy of the roughness calculation.

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A theoretical approach to mathematical modeling of sperm swimming in viscoelastic Ellis fluid in a passive canal

Cited by 14 publications

References 43 publications

Mathematical study of viscoelastic polymer during roll-over-web coating

Mathematical study of viscoelastic polymer during roll-over-web coating

Computer Simulation of Heat and Mass Transfer Effects on Nanofluid Flow of Blood Through an Inclined Stenosed Artery With Hall Effect

Experimental Study of Roughness Reduction of Large Aqueducts in the Middle Route of the South-to-North Water Diversion Project

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