This paper focuses on the use of a simple one-dimensional model considering moving boundary vapor diffusion to describe the ultrasonic assisted atmospheric freeze-drying of foodstuffs.
A three-dimensional model, considering mass, momentum, energy and charge conservation, was developed and the equations solved to describe the physico-chemical phenomena occurring within a single, micro-tubular hollow fibre solid oxide fuel cell (HF-SOFC).
Numerical comparison reveals that the critical voltage obtained from the two-dimensional model is always less than those obtained from a one-dimensional model considering only the lateral translational stiffness or only the rotational stiffness.
This paper presents a development of the lateral instability analysis of in-plane comb drive MEMS actuators based on a two-dimensional model considering both lateral translational and rotational stiffness.
This paper proposes a novel three-dimensional model considering the heat transfer, keyhole free surface, surface tension and recoil pressure for simulating the formation process of the weld bead and predicting its full sizes in the fiber laser keyhole welding.
Aiming for the introduction of passive DEFCs in the market, this work describes a steady-state and one-dimensional model considering the electrochemical reactions and all the transport phenomena (heat and mass transport) occurring in a passive feed DEFC.
(iii) A transient detailed one-dimensional model considering heat exchange between the reactors, heat losses to surroundings and axial distribution of the MOx feed is used to study the performance of a 1.3 L system in terms of thermal efficiency and permeate flow rate.
Our two-dimensional model considers a homogeneous depth d = 10 μm [ 26, 27].
We use smooth three-dimensional models, considering that the simplest model is more probable (Occam's razor rule).
A three-dimensional mathematical model, considering conservation principles of mass, momentum, species and electric current is employed.
A multispecies one-dimensional biofilm model considering nitric oxide (NO) and nitrous oxide (N2O) productions for membrane aerated biofilm reactor (MABR) that remove nitrogen autotrophically through aerobic ammonia oxidation followed by Anammox is used to study the role of Anammox activity on the total nitrogen (TN) removal and the productions of NO and N2O.
