NDLI: Behavior of confined fluids in nanoslit pores: the normal pressure tensor

Content Provider	Springer Nature Link
Author	Ezzat Keshavarzi, Tahmineh Sedaghat, Farideh Mansoori, G. Ali
Copyright Year	2009
Abstract	The aim of our research is to develop a theory, which can predict the behavior of confined fluids in nanoslit pores. The nanoslit pores studied in this work consist of two structureless and parallel walls in the xy plane located at z = 0 and z = H, in equilibrium with a bulk homogeneous fluid at the same temperature and at a given uniform bulk density. We have derived the following general equation for prediction of the normal pressure tensor P zz of confined inhomogeneous fluids in nanoslit pores: $$ P_{zz} = kT\rho \left( {r_{1z} } \right)\left[ {1 + \frac{1}{kT}\frac{{\partial \phi_{\text{ext}} }}{{\partial r_{1z} }}{\text{d}}r_{1z} } \right] - \frac{1}{2}\int\limits_{v} {\varphi^{\prime}(\vec{r}_{12} )\rho^{(2)} \left( {\overset{\lower0.5em\hbox{$ \smash{\scriptscriptstyle\rightharpoonup} $}} {r}_{12} ,\overset{\lower0.5em\hbox{$ \smash{\scriptscriptstyle\rightharpoonup} $}} {r}_{1} } \right)} \frac{{(r_{12z} )^{2} }}{{\overset{\lower0.5em\hbox{$ \smash{\scriptscriptstyle\rightharpoonup} $}} {r}_{12} }}{\text{d}}\overset{\lower0.5em\hbox{$ \smash{\scriptscriptstyle\rightharpoonup} $}} {r}_{12} , $$ where $$ \vec{r}_{12} \equiv \vec{r}_{1} - \vec{r}_{2} $$ is the intermolecular position vector of molecule 2 with respect to molecule 1 and $$ r_{12z} = \|\vec{r}_{12} \|_{z} $$ is the projection of distance of molecule 1 from molecule 2 in the z-direction. This equation may be solved for any fluid possessing a defined intermolecular pair-potential energy function, $$ \varphi \left( {\vec{r}_{12} } \right) ,$$ confined in a nanoslit pore and with a given fluid molecules—wall interaction potential function ϕ ext. As an important example of its application we have solved this equation for the hard-sphere fluid confined between two parallel–structureless hard walls with different nanometer distances and at various uniform bulk densities. Our results indicate the oscillatory form of the normal pressure tensor versus distance from the wall at high densities. As the density of the nanoconfined fluid decreases, the height and depth of the normal pressure tensor oscillations are reduced.
Starting Page	97
Ending Page	104
Page Count	8
File Format	PDF
ISSN	16134982
Journal	Microfluidics and Nanofluidics
Volume Number	8
Issue Number	1
e-ISSN	16134990
Language	English
Publisher	Springer-Verlag
Publisher Date	2009-05-07
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Behavior of nano-confined fluid Hard-sphere fluid Nanoconfined fluid Nanoslit pore Normal pressure tensor Stress tensor Biomedical Engineering Engineering Fluid Dynamics
Content Type	Text
Resource Type	Article
Subject	Nanoscience and Nanotechnology Materials Chemistry Condensed Matter Physics Electronic, Optical and Magnetic Materials

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Attractive energy contribution to nanoconfined fluids behavior: the normal pressure tensor

Molecular spin in nano-confined fluidic flows

Equilibrium molecular dynamics studies on nanoscale-confined fluids

Molecular simulations on nanoconfined water molecule behaviors for nanoporous material applications

Lateral migration of particles suspended in viscoelastic fluids in a microchannel flow

Viscous dissipation effect in nano-confined shear flows: a comparative study between molecular dynamics and multi-scale hybrid simulations

Electrophoresis of a spherical particle in a spherical cavity

Magnetic-fluid core optical fiber

Mobility tensor of a sphere moving on a superhydrophobic wall: application to particle separation

Behavior of confined fluids in nanoslit pores: the normal pressure tensor

Similar Documents

Attractive energy contribution to nanoconfined fluids behavior: the normal pressure tensor

Molecular spin in nano-confined fluidic flows

Equilibrium molecular dynamics studies on nanoscale-confined fluids

Molecular simulations on nanoconfined water molecule behaviors for nanoporous material applications

Lateral migration of particles suspended in viscoelastic fluids in a microchannel flow

Viscous dissipation effect in nano-confined shear flows: a comparative study between molecular dynamics and multi-scale hybrid simulations

Electrophoresis of a spherical particle in a spherical cavity

Magnetic-fluid core optical fiber

Mobility tensor of a sphere moving on a superhydrophobic wall: application to particle separation

Behavior of confined fluids in nanoslit pores: the normal pressure tensor