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## Eﬀects of rough boundary and nonzero boundary conditions on the lubrication process with micropolar ﬂuid

Bonnivard, Matthieu; Pažanin, Igor; Suarez-Grau, Francisco Javier
Eﬀects of rough boundary and nonzero boundary conditions on the lubrication process with micropolar ﬂuid // European journal of mechanics. B, Fluids, 72 (2018), 501-518 (međunarodna recenzija, članak, znanstveni)

Naslov
Eﬀects of rough boundary and nonzero boundary conditions on the lubrication process with micropolar ﬂuid

Autori
Bonnivard, Matthieu ; Pažanin, Igor ; Suarez-Grau, Francisco Javier

Izvornik
European journal of mechanics. B, Fluids (0997-7546) 72 (2018); 501-518

Ključne riječi
Lubrication process ; micropolar ﬂuid ; nonzero boundary conditions ; rough boundary ; asymptotic analysis ; numerical results

Sažetak
The lubrication theory is mostly concerned with the behaviour of a lubricant ﬂowing through a narrow gap. Motivated by the experimental ﬁndings from the tribology literature, we take the lubricant to be a micropolar ﬂuid and study its behaviour in a thin domain with rough boundary. Instead of considering (commonly used) simple zero boundary conditions, we impose physically relevant (nonzero) boundary conditions for the microrotation and perform the asymptotic analysis of the corresponding 3D boundary value problem. We formally derive a simpliﬁed mathematical model acknowledging the roughness-induced eﬀects and the eﬀects of the nonzero boundary conditions on the macroscopic ﬂow. Using the obtained asymptotic model, we study numerically the inﬂuence of the roughness on the performance of a linear slider bearing. The numerical results clearly indicate that the use of the rough surfaces may contribute to enhance the mechanical performance of such device.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Projekt / tema
HRZZ-IP-2013-11-3955 - Matematičko modeliranje i numeričke simulacije procesa u tankim i poroznim sredinama (Eduard Marušić-Paloka, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Autor s matičnim brojem:
Igor Pažanin, (267385)

#### Časopis indeksira:

• Current Contents Connect (CCC)
• Web of Science Core Collection (WoSCC)
• Science Citation Index Expanded (SCI-EXP)
• SCI-EXP, SSCI i/ili A&HCI
• Scopus