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Theoretical and Computational Studie...

Alhaddad, Mohamed,

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Theoretical and Computational Studies of a Liquid Entering a Network of Pores /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Theoretical and Computational Studies of a Liquid Entering a Network of Pores // Mohamed Alhaddad.
Author:	Alhaddad, Mohamed,
Description:	1 electronic resource (105 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 86-11, Section: B.
Contained By:	Dissertations Abstracts International86-11B.
Subject:	Mechanical engineering. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31996610
ISBN:	9798314870822

Theoretical and Computational Studies of a Liquid Entering a Network of Pores /
Alhaddad, Mohamed,

Theoretical and Computational Studies of a Liquid Entering a Network of Pores /Mohamed Alhaddad. - 1 electronic resource (105 pages)

Source: Dissertations Abstracts International, Volume: 86-11, Section: B.

Modeling the rate of fluid penetration into capillaries due to surface tension forces is often based on the Poiseuille flow solution. However, this model does not apply to short capillaries due to non-fully developed conditions at the entrance and exit regions. Improved models are needed for small capillary systems, which are crucial in processes such as oil droplet removal from water using thin membranes. Previous research has addressed deviations from Poiseuille flow near the entrance and moving meniscus, including the use of momentum conservation equations and inertia forces in kinetic models for infinite flow entering capillary tubes. Some studies have considered finite reservoir infiltration, assuming parallel flow lines, but neglected local acceleration due to inertia and gravity effects. This study presents a novel analysis focusing on the dynamic behavior of droplets in pores. It models a finite flow reservoir associated with a droplet and includes drag forces at the capillary channel entrance. The mathematical model incorporates pressure losses due to sudden contraction and viscous dissipation at the tube entrance, which can be significant in low Reynolds number flows. Additionally, it considers energy dissipation due to contact angle hysteresis. The model addresses an apparent anomaly posed by Washburn-Rideal and Levin-Szekely, and is applied to various liquids including water, glycerin, blood, oil, and methanol. It is tested with different geometries and cases, including numerical simulations, showing close agreement with experimental data. Deviations are observed when comparing infinite reservoir flow to finite droplet flow.A parametric study evaluates the effects of dimensionless numbers such as capillary, Reynolds, Weber, and Froude numbers. Results suggest the Weber number's importance over the Capillary number in droplet dynamics. The study also examines finite flow and film penetration in single pores versus pore networks. Computational simulations using ANSYS-FLUENT 23 R2 provide 2D results, using User Defined Functions (UDF) to capture liquid-gas interfaces. These simulations corroborate the mathematical model. Contrary to previous findings, this study demonstrates that contact angle effects are significant in the initial stages of capillary penetration. The proposed solution is valid for very short initial times, applicable to printing, lithographic operations, and filtration systems dealing with oil droplet removal from water using membranes.

English

ISBN: 9798314870822Subjects--Topical Terms:

649730
Mechanical engineering.
Subjects--Index Terms:

Poiseuille flow solution

Theoretical and Computational Studies of a Liquid Entering a Network of Pores /
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245 1 0 $a Theoretical and Computational Studies of a Liquid Entering a Network of Pores / $c Mohamed Alhaddad.
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300 $a 1 electronic resource (105 pages)
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500 $a Source: Dissertations Abstracts International, Volume: 86-11, Section: B.
500 $a Advisors: Benard, Andre Committee members: Tarabara, Volodymyr V.; Engeda, Abraham; Liao, Wei.
502 $b Ph.D. $c Michigan State University $d 2025.
520 $a Modeling the rate of fluid penetration into capillaries due to surface tension forces is often based on the Poiseuille flow solution. However, this model does not apply to short capillaries due to non-fully developed conditions at the entrance and exit regions. Improved models are needed for small capillary systems, which are crucial in processes such as oil droplet removal from water using thin membranes. Previous research has addressed deviations from Poiseuille flow near the entrance and moving meniscus, including the use of momentum conservation equations and inertia forces in kinetic models for infinite flow entering capillary tubes. Some studies have considered finite reservoir infiltration, assuming parallel flow lines, but neglected local acceleration due to inertia and gravity effects. This study presents a novel analysis focusing on the dynamic behavior of droplets in pores. It models a finite flow reservoir associated with a droplet and includes drag forces at the capillary channel entrance. The mathematical model incorporates pressure losses due to sudden contraction and viscous dissipation at the tube entrance, which can be significant in low Reynolds number flows. Additionally, it considers energy dissipation due to contact angle hysteresis. The model addresses an apparent anomaly posed by Washburn-Rideal and Levin-Szekely, and is applied to various liquids including water, glycerin, blood, oil, and methanol. It is tested with different geometries and cases, including numerical simulations, showing close agreement with experimental data. Deviations are observed when comparing infinite reservoir flow to finite droplet flow.A parametric study evaluates the effects of dimensionless numbers such as capillary, Reynolds, Weber, and Froude numbers. Results suggest the Weber number's importance over the Capillary number in droplet dynamics. The study also examines finite flow and film penetration in single pores versus pore networks. Computational simulations using ANSYS-FLUENT 23 R2 provide 2D results, using User Defined Functions (UDF) to capture liquid-gas interfaces. These simulations corroborate the mathematical model. Contrary to previous findings, this study demonstrates that contact angle effects are significant in the initial stages of capillary penetration. The proposed solution is valid for very short initial times, applicable to printing, lithographic operations, and filtration systems dealing with oil droplet removal from water using membranes.
546 $a English
590 $a School code: 0128
650 4 $a Mechanical engineering. $3 649730
650 4 $a Molecular physics. $3 3174737
650 4 $a Applied physics. $3 3343996
650 4 $a Engineering. $3 586835
653 $a Poiseuille flow solution
653 $a Droplet dynamics
653 $a User Defined Functions
653 $a Capillary systems
690 $a 0548
690 $a 0537
690 $a 0215
690 $a 0609
710 2 $a Michigan State University. $b Mechanical Engineering - Doctor of Philosophy. $e degree granting institution. $3 3824920
720 1 $a Benard, Andre $e degree supervisor.
773 0 $t Dissertations Abstracts International $g 86-11B.
790 $a 0128
791 $a Ph.D.
792 $a 2025
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31996610