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Pregled bibliografske jedinice broj: 155375

Derivation of the Reynolds type equation with memory effects, governing transient flow of lubricant


Duvnjak, Antonija
Derivation of the Reynolds type equation with memory effects, governing transient flow of lubricant // Glasnik matematički, 39 (2004), 1; 77-100 (podatak o recenziji nije dostupan, članak, znanstveni)


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Naslov
Derivation of the Reynolds type equation with memory effects, governing transient flow of lubricant

Autori
Duvnjak, Antonija

Izvornik
Glasnik matematički (0017-095X) 39 (2004), 1; 77-100

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Nonstationary Stokes system; nonlocal Reynolds equation

Sažetak
In this paper we derive the Reynolds type lubrication equation with memory effects for lubrication of a rotating shaft. Starting from the nonstationary Stokes equations and using the asymptotic expansion we obtain a law that is nonlocal in time and gives a linear connection between velocity and pressure gradient. Our law tends to the classical Reynolds equation when time tends to infinity. We prove a convergence theorem for velocity and pressure in appropriate functional space.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
0037116

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Avatar Url Antonija Duvnjak (autor)


Citiraj ovu publikaciju:

Duvnjak, Antonija
Derivation of the Reynolds type equation with memory effects, governing transient flow of lubricant // Glasnik matematički, 39 (2004), 1; 77-100 (podatak o recenziji nije dostupan, članak, znanstveni)
Duvnjak, A. (2004) Derivation of the Reynolds type equation with memory effects, governing transient flow of lubricant. Glasnik matematički, 39 (1), 77-100.
@article{article, author = {Duvnjak, Antonija}, year = {2004}, pages = {77-100}, keywords = {Nonstationary Stokes system, nonlocal Reynolds equation}, journal = {Glasnik matemati\v{c}ki}, volume = {39}, number = {1}, issn = {0017-095X}, title = {Derivation of the Reynolds type equation with memory effects, governing transient flow of lubricant}, keyword = {Nonstationary Stokes system, nonlocal Reynolds equation} }
@article{article, author = {Duvnjak, Antonija}, year = {2004}, pages = {77-100}, keywords = {Nonstationary Stokes system, nonlocal Reynolds equation}, journal = {Glasnik matemati\v{c}ki}, volume = {39}, number = {1}, issn = {0017-095X}, title = {Derivation of the Reynolds type equation with memory effects, governing transient flow of lubricant}, keyword = {Nonstationary Stokes system, nonlocal Reynolds equation} }

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  • Mathematical Reviews





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