MHD Flows of Second Grade Fluid Through the Moving Porous Cylindrical Domain

Jamil, Mohsin; Zafarullah, Muhammad

doi:10.29020/nybg.ejpam.v12i3.3426

Cited by 5 publications

(2 citation statements)

References 5 publications

(8 reference statements)

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“…The mathematical model used is based on the Navier-Stokes equations that govern incompressible, Newtonian fluid flow. [5] The equation can be represented as:…”

Section: Mathematical Modelmentioning

confidence: 99%

Clinical Research Article: Comparative Analysis of Pigtail Drainage Catheters: Skived Holes versus Punched Holes and Implications for Fluid Dynamics

Stibbs

2023

Preprint

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BackgroundPigtail drainage catheters are essential tools in medical interventions that require the drainage of fluid collections from bodily cavities. Two commonly employed designs feature punched holes and skived holes. Despite the prevalence of these catheters in clinical set- tings, little research exists to compare the efficiency of the two-hole designs in terms of fluid dynamics and clinical applicability.ObjectiveThe primary objective of this study is to thoroughly investigate and compare the fluid dynamics characteristics and efficiency of pigtail drainage catheters with skived holes and punched holes. This study aims to quantify the effects of these hole designs on shear stress, turbulence, and volumetric flow rates, providing insight into the potential clinical implica- tions.MethodsTo achieve this, we employed a multi-modal approach incorporating both computational and experimental methods. A computational fluid dynamics (CFD) model was employed to simulate the flow of fluid through each catheter design. This model solved the Navier-Stokes equations numerically to produce detailed velocity and pressure profiles.[1]An experimental setup mimicking in vivo conditions was also used, where catheters with both hole types were inserted into a fluid chamber filled with a viscous fluid resembling human biological fluid.Corresponding author.†E-mail: pstibbs@risimaging.com Key Findings Our results indicate that catheters with skived holes demonstrate significantly lower shear stress and turbulence when compared to catheters with punched holes. Furthermore, catheters featuring skived holes achieved higher volumetric flow rates, signifying more effi- cient drainage capabilities.Clinical ImplicationsThe skived hole design, through its effects on fluid dynamics, appears to offer superior performance in terms of drainage efficacy. The reduced shear stress and turbulence could lead to less clogging, potentially extending the lifespan of the catheter. This has significant implications for long-term drainage scenarios, offering both cost and clinical advantages.ConclusionOur findings strongly suggest that the design of holes in pigtail drainage catheters plays a crucial role in determining drainage efficacy, with skived holes offering distinct advantages in terms of fluid dynamics and overall performance. Further in-vivo studies are required to confirm these observations.

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“…The mathematical model used is based on the Navier-Stokes equations that govern incompressible, Newtonian fluid flow. [5] The equation can be represented as:…”

Section: Mathematical Modelmentioning

confidence: 99%

Clinical Research Article: Comparative Analysis of Pigtail Drainage Catheters: Skived Holes versus Punched Holes and Implications for Fluid Dynamics

Stibbs

2023

Preprint

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“…Rathod & Tanveer [13] managed to obtain analytical solutions for a model that deals with magnetohydrodynamic (MHD) blood flow, encompassing two viscous fluids flow within a stationary cylinder embedded in a porous medium. After that, Jamil & Zafarullah [14] proceeded to conduct an in-depth study of a similar problem [13], the study involved the analysis of second-grade fluid flow between two cylinders in motion. Previously cited researchers utilized analytical techniques, explicitly employing the Laplace transform and finite Hankel transform methods, to address the complexities discussed.…”

Section: Introductionmentioning

confidence: 99%

The Role of Slip Velocity in Fractional MHD Casson Fluid Flow within Porous Cylinder

Wan Azmi,

Mohamad,

Jiann

et al. 2024

Mal. J. Fund. Appl. Sci.

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Numerous academics are intrigued by exploring the fractional Casson fluid model due to its enhanced precision compared to the traditional fluid model. However, many researchers have successfully tackled the analytical solution for the fractional fluid model while overlooking the impact of boundary slip. Hence, this study aims to tackle the challenge of describing the Casson fluid behaviour with fractional properties in a cylindrical domain, considering the influence of slip velocity at the boundaries. Furthermore, magnetohydrodynamics (MHD) had been introduced into the analysis and considered a porous medium resembling a blood clot or fatty plaque. The Caputo-Fabrizio fractional derivative is employed to establish the dimensionless governing equation. Subsequently, we solve it analytically using the Laplace transform in conjunction with finite Hankel transform techniques. A thorough examination follows the graphical presentation of the analytical solution in the context of relevant parameters. The findings illustrate those higher values of the Casson parameter, slip velocity parameter, Darcy number, and fractional parameter lead to an augmentation in fluid velocity. Conversely, an escalation in magnetic parameters causes a reduction in fluid velocity. These findings can be utilized to validate the accuracy of numerical results. The findings of this study hold considerable importance in enhancing our understanding of human blood flow, especially in scenarios where a velocity gradient occurs between blood particles and the stretching motion of arteries.

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