On determining Navier's slip parameter at a solid boundary in flows of a Navier-Stokes fluid

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10494211" target="_blank" >RIV/00216208:11320/24:10494211 - isvavai.cz</a>

Výsledek na webu

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=znR.kMZsiy" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=znR.kMZsiy</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/5.0185585" target="_blank" >10.1063/5.0185585</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On determining Navier's slip parameter at a solid boundary in flows of a Navier-Stokes fluid

Popis výsledku v původním jazyce

While the assumption of the &quot;no-slip&quot; condition at a solid boundary is unquestioningly applied to study the flow characteristics of a Navier-Stokes fluid, there was considerable debate among the early pioneers of fluid mechanics, Du Buat, Girard, Navier, Coulomb, Poisson, Prony, Stokes, and others, as to the proper condition that has to be met at a solid boundary due to a fluid, such as water flowing adjacent to the same. Contemporary usage of the no-slip boundary condition notwithstanding, in our previous study [Malek and Rajagopal, &quot;On a methodology to determine whether the fluid slips adjacent to a solid surface,&quot; Int. J. Non-Linear Mech. 157, 104512 (2023)], we outlined a methodology to test the validity of the assumption. In this study, we continue the investigation further by providing a scheme for determining the slip parameter that characterizes the extent of slip, if one presumes that Navier&apos;s slip boundary condition is satisfied. We find that depending on whether the volumetric flow rate is greater or less than the volumetric flow rate corresponding to the no-slip case, different scenarios present themselves regarding what transpires at the boundary.

Název v anglickém jazyce

On determining Navier's slip parameter at a solid boundary in flows of a Navier-Stokes fluid

Popis výsledku anglicky

While the assumption of the &quot;no-slip&quot; condition at a solid boundary is unquestioningly applied to study the flow characteristics of a Navier-Stokes fluid, there was considerable debate among the early pioneers of fluid mechanics, Du Buat, Girard, Navier, Coulomb, Poisson, Prony, Stokes, and others, as to the proper condition that has to be met at a solid boundary due to a fluid, such as water flowing adjacent to the same. Contemporary usage of the no-slip boundary condition notwithstanding, in our previous study [Malek and Rajagopal, &quot;On a methodology to determine whether the fluid slips adjacent to a solid surface,&quot; Int. J. Non-Linear Mech. 157, 104512 (2023)], we outlined a methodology to test the validity of the assumption. In this study, we continue the investigation further by providing a scheme for determining the slip parameter that characterizes the extent of slip, if one presumes that Navier&apos;s slip boundary condition is satisfied. We find that depending on whether the volumetric flow rate is greater or less than the volumetric flow rate corresponding to the no-slip case, different scenarios present themselves regarding what transpires at the boundary.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA23-05207S" target="_blank" >GA23-05207S: Vývoj spolehlivých výpočetních metod vhodných pro zkoumání interakcí tekutina/pevná látka zaměřených na řešení důležitých kardiovaskulárních problémů</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physics of Fluids

ISSN

1070-6631

e-ISSN

1089-7666

Svazek periodika

36

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

13

Strana od-do

013117

Kód UT WoS článku

001147724800007

EID výsledku v databázi Scopus

2-s2.0-85183315177