Browsing SCHOOL OF PHYSICAL SCIENCE by Subject "Surface roughness"

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Homogenization of the unstationary incompressible Reynolds equation

Almqvist, A.; Essel, E.K.; Persson, L.-E.; Wall, Peter (University of Cape Coast, 2007)

This paper is devoted to the effects of surface roughness during hydrodynamic lubrication. In the numerical analysis a very fine mesh is needed to resolve the surface roughness, suggesting some type of averaging. A rigorous ...
Multiscale homogenization of a class of nonlinear equations with applications in lubrication theory and applications

Almqvist, Andreas; Essel, Emmanuel Kwame; Fabricius, John; Wall, Peter (University of Cape Coast, 2011)

We prove a homogenization result for monotone operators by using the method of multiscale convergence. More precisely, we study the asymptoticbehavior as ε → 0 of the solutions uε of the nonlinear equation div aε(x, ∇uε) ...
Reiterated homogenization applied in hydrodynamic lubrication

Almqvist, A.; Essel, E K; Fabricius, J; Wall, P (University of Cape Coast, 2008-06-09)

This work is devoted to studying the combined effect that arises due to surface texture and surface roughness in hydrodynamic lubrication. n effective approach in tackling this problem is by using the theory of reiterated ...

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