scholarly journals A sharp-front moving boundary model for malignant invasion

2020 ◽  
Vol 412 ◽  
pp. 132639 ◽  
Author(s):  
Maud El-Hachem ◽  
Scott W. McCue ◽  
Matthew J. Simpson
2015 ◽  
Vol 738-739 ◽  
pp. 986-990
Author(s):  
Zhi Gang Wang ◽  
Jia Guang Cheng ◽  
Yan Wang ◽  
Qiang Shen

Organic Rankine Cycle (ORC) is one of the most promising technologies for low-temperature energy conversion. In recent years, it has gotten more attention due to the energy crisis and environmental problems caused by the combustion of fossil fuels. In this paper, a moving boundary model is introduced to describe the transient phenomena of evaporator and condenser, which are the important components of ORC. The simulation results are given to illustrate the efficiency and feasibility of the proposed control strategy.


2008 ◽  
Vol 77 (2) ◽  
Author(s):  
Fabian Brau ◽  
Alejandro Luque ◽  
Bernard Meulenbroek ◽  
Ute Ebert ◽  
Lothar Schäfer

2015 ◽  
Vol 29 (3) ◽  
pp. 545-550 ◽  
Author(s):  
V. Hafiychuk ◽  
M. Foygel ◽  
E. Ponizovskaya-Devine ◽  
V. Smelyanskiy ◽  
M. D. Watson ◽  
...  

2013 ◽  
Vol 554-557 ◽  
pp. 1619-1627 ◽  
Author(s):  
Xavier Tardif ◽  
Nicolas Boyard ◽  
Vincent Sobotka ◽  
Nicolas Lefèvre ◽  
Didier Delaunay

In this work, we present an apparatus associated to a methodology that is able to determine simultaneously and according to temperature (up to 400°C) the specific volume (up to 200MPa), the thermal conductivity and the temperature function of the crystallization kinetics. The PvT-XT is a home-built device that is able to impose and quantify 1D heat transfer through the radius of a sample. This apparatus controls the applied pressure on the sample while measuring its volume variations. The associated moving boundary model takes into account the temperature and crystallinity gradients. Specific volume is determined from direct measurement whereas inverse methods are used to estimate the thermal conductivity and the crystallization kinetics (with cooling rates up to 200K/min). Specific volume measurements are compared with literature results and exhibit a very good agreement. Thermal conductivity identified in the present paper is also very close to literatures values. Finally identification of kinetic function values is consistent with previous studies.


Author(s):  
Robert Yi ◽  
Yossi Cohen ◽  
Hansjörg Seybold ◽  
Eric Stansifer ◽  
Robb McDonald ◽  
...  

Valleys that form around a stream head often develop characteristic finger-like elevation contours. We study the processes involved in the formation of these valleys and introduce a theoretical model that indicates how shape may inform the underlying processes. We consider valley growth as the advance of a moving boundary travelling forward purely through linearly diffusive erosion, and we obtain a solution for the valley shape in three dimensions. Our solution compares well to the shape of slowly growing groundwater-fed valleys found in Bristol, Florida. Our results identify a new feature in the formation of groundwater-fed valleys: a spatially variable diffusivity that can be modelled by a fixed-height moving boundary.


2015 ◽  
Vol 279 ◽  
pp. 180-196 ◽  
Author(s):  
Ashish Khandelwal ◽  
Krishnan S. Hariharan ◽  
Priya Gambhire ◽  
Subramanya Mayya Kolake ◽  
Taejung Yeo ◽  
...  

Author(s):  
Robert W. Style ◽  
Stephen S. L. Peppin

During the drying of colloidal suspensions, the desiccation process causes the suspension near the air interface to consolidate into a connected porous matrix or crust. Fluid transport in the porous medium is governed by Darcy’s law and the equations of poroelasticity, while the equations of colloid physics govern processes in the suspension. We derive new equations describing this process, including unique boundary conditions coupling the two regions, yielding a moving-boundary model of the concentration and stress profiles during drying. A solution is found for the steady-state growth of a one-dimensional crust during constant evaporation rate from the surface. The solution is used to demonstrate the importance of the system boundary conditions on stress profiles and diffusivity in a drying crust.


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