# Adjacent Fluid Layer - Explore the Science & Experts | ideXlab

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The Experts below are selected from a list of 15 Experts worldwide ranked by ideXlab platform

### J. P. Du Plessis – 1st expert on this subject based on the ideXlab platform

• ##### Porous-Layer model for laminar liquid flow in rough microchannels
Microfluidics and Nanofluidics, 2010
Co-Authors: S. Izquierdo, J. R. Valdés, M. Martínez, M. Accolti, S. Woudberg, P. Asinari, M. Miana, J. P. Du Plessis

Abstract:

### M. Martínez – 3rd expert on this subject based on the ideXlab platform

• ##### Porous-Layer model for laminar liquid flow in rough microchannels
Microfluidics and Nanofluidics, 2010
Co-Authors: S. Izquierdo, J. R. Valdés, M. Martínez, M. Accolti, S. Woudberg, P. Asinari, M. Miana, J. P. Du Plessis

Abstract:

A reduced description of the three-dimensional effects of rough surfaces on the laminar liquid flow in microchannels is sought. With this outlook a one-dimensional model is proposed, which is built by splitting the channel in two regions: a porous region and a Fluid one. The porous region is the wall-Adjacent Fluid Layer and represents the roughness. Special attention is paid to three aspects not fully solved in previous porous-Layer approaches. These are: (i) a clear link between existing works on spatial averaging of porous/Fluid composite domains and the derivation of the porous Layer model (PLM) for laminar liquid flows in rough microchannels, (ii) the development of a simple geometrical procedure to compute the stress model for the porous region only as a function of the geometrical characteristics of the roughness, and (iii) the application of an appropriate treatment to the interface between the Fluid and porous regions. The stress model in the porous Layer, the jump boundary condition at the interface and the PLM are validated against numerical simulations and experimental data from the literature. In addition, further validation using numerical simulation of wavy, cube- and pyramid-based rough channels is performed. Results show that the PLM is valid to approximate the three-dimensional solution of several Fluid-connected rough surfaces with an error below 15% (within the 90% confidence interval) for the following conditions: relative roughness $$\tilde{k}\equiv k/H < 0.4,$$ relative width \tilde{L}\equiv L/H