Computational transport phenomena in bioprocessing with the approach of the optimized source term in the governing equations

2012 ◽  
Vol 48 (9) ◽  
pp. 1485-1493 ◽  
Author(s):  
Maria Valeria Bonis ◽  
Gianpaolo Ruocco
Geofluids ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-21 ◽  
Author(s):  
Amgad Salama ◽  
Mohamed F. El Amin ◽  
Kundan Kumar ◽  
Shuyu Sun

A review on the recent advances of the flow and transport phenomena in tight and shale formations is presented in this work. Exploration of oil and gas in resources that were once considered inaccessible opened the door to highlight interesting phenomena that require attention and understanding. The length scales associated with transport phenomena in tight and shale formations are rich. From nanoscale phenomena to field-scale applications, a unified frame that is able to encounter the varieties of phenomena associated with each scale may not be possible. Each scale has its own tools and limitations that may not, probably, be suitable at other scales. Multiscale algorithms that effectively couple simulations among various scales of porous media are therefore important. In this article, a review of the different length scales and the tools associated with each scale is introduced. Highlights on the different phenomena pertinent to each scale are summarized. Furthermore, the governing equations describing flow and transport phenomena at different scales are investigated. In addition, methods to solve these equations using numerical techniques are introduced. Cross-scale analysis and derivation of linear and nonlinear Darcy’s scale laws from pore-scale governing equations are described. Phenomena occurring at molecular scales and their thermodynamics are discussed. Flow slippage at the nanosize pores and its upscaling to Darcy’s scale are highlighted. Pore network models are discussed as a viable tool to estimate macroscopic parameters that are otherwise difficult to measure. Then, the environmental aspects associated with the different technologies used in stimulating the gas stored in tight and shale formations are briefly discussed.


Author(s):  
Zhanjie Shao ◽  
Gerry Schneider ◽  
Carolyn Ren

The electrokinetic transport phenomena are to be numerically studied based on cross-linked microchannel networks, which have been commonly employed for on-chip capillary electrophoresis applications. Applied potential field, flow field and concentration field should be solved to predict the species transport process under electrokinetic flows. Together with the well-designed channel geometry, a detailed physical model was firstly formulated through a series of governing equations and corresponding boundary/initial conditions, which was briefly re-presented from our previous publications. The emphasis of current work was to justify the simplest non-dimensional scheme and identify the most beneficial parameters so that an effective and simplified non-dimensional model was developed for numerical studies.


2011 ◽  
Vol 374-377 ◽  
pp. 1085-1088
Author(s):  
Ming Qin Liu ◽  
Yu Ling Liu

A numerical model for simulating of 2D flow around a spur dike was presented by using the physical fractional-step method. The water governing equations were separated into three parts. The first is a convective problem; the second is a diffusive problem; and the third is a source term. The advantage of this method is that in the convective-diffusion equation a more reasonable scheme for the convective and diffusive operator is adopted respectively. Numerical simulation for 2D flow around a spur dike was implemented. The comparisons with other numerical solutions show that the proposed method can be capable of dealing with 2D spur-dike flows.


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