mass conservation equation
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2021 ◽  
Vol 26 (2) ◽  
pp. 143-159
Author(s):  
M. Mirzaei ◽  
S.M. Hashemi ◽  
B. Saranjam ◽  
A. Binesh

Abstract An axial vane rotary engine (AVRE) is a novel type of rotary engines. The engine is a positive displacement mechanism that permits the four “stroke” action to occur in one revolution of the shaft with a minimum number of moving components in comparison to reciprocating engines. In this paper, a two-zone combustion model is developed for a spark ignition AVRE. The combustion chamber is divided into burned and unburned zones and differential equations are developed for the change in pressure and change in temperature in each zone. The modelling is based on equations for energy and mass conservation, equation of state, and burned mass fraction. The assumption is made that both zones are at the same pressure P, and the ignition temperature is the adiabatic flame temperature based on the mixture enthalpy at the onset of combustion. The developed code for engine simulation in MATLAB is applied to another engine and there is a good agreement between results of this code and results related to the engine chosen for validation, so the modelling is independent of configuration.


Author(s):  
M. A. Fedorova ◽  

In order to understand the vapor injection flow characteristics of two-stage rotary compressor in the course of compression, a mathematical model based on mass conservation equation, energy equation and thermodynamic identity was established and proved by P-V diagram testing results. Some useful conclusions about pressure in the intermediate chamber and mass flow of vapor injection in the course of compression were also given out. The results show that, gas backflow between the intermediate chamber and the vapor injection channel is an important defection of two-stage rotary compressor which can be solved by the application of injection valve in vapor injection channel. The injection valve can obviously reduce the gas backflow and the power loss in the course of compression while increasing the pressure fluctuation in the intermediate chamber. Experiments show that the COP of two-stage rotary compressor with the injection valve increased by over 2% in ASHRAE/T working condition.


Scanning ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-9
Author(s):  
Zhang Lei ◽  
Sun Runguang ◽  
Hao Changchun ◽  
Yang Huihui ◽  
Hu Chengxi

To investigate the stability and dynamic characteristics of monolayer adsorbed on unsaturated lipid dioleoylphosphatidylcholine (DOPC) with varying concentrations of myelin basic protein (MBP), the system is studied by applying Langmuir technique and making atomic force microscope (AFM) observation, which is based on the mass conservation equation analysis method referred to in the thermodynamics theory. As indicated by surface pressure-mean molecular area (π−A) and surface pressure-adsorption time (π−T) isotherms, the physical properties of monolayer derived from the interaction of varying concentrations of MBP with liquid crystalline unsaturated lipid DOPC molecules were qualitatively studied. As revealed by surface morphology analysis with AFM, the micro region was expanded as the concentration of MBP in the subphase was on the increase, suggesting that hydrophobic interactions led to the MBP insertion, thus causing accumulation of the MBP on the surface of the monolayer. Experimental results have demonstrated that the partition coefficient of the interaction between MBP and unsaturated phospholipid DOPC and the molecular area of MBP adsorbed on the monolayer film was calculated using the mass conservation equation. In addition, not only does the varying concentration of MBP in the subphase exerts significant effects on the arrangement and conformation of DOPC monolayer, it also has certain guiding significance to exploring the structural changes to biofilm supramolecular aggregates as well as the pathogenesis and treatment of related diseases.


2018 ◽  
Vol 40 ◽  
pp. 05068
Author(s):  
Bhabani Shankar Das ◽  
Kamalini Devi ◽  
Sebastien Proust ◽  
Kishanjit Kumar Khatua

Experiments have been conducted in three diverging compound channels for different flow conditions to study the flow distribution in floodplain, upper and lower main channel. In a compound channel, vertical apparent shear exists on the interface between the upper main channel and the floodplain, which generally accelerates the flow on the floodplain and resists the flow in the upper main channel. In addition, a horizontal apparent shear stress also occurs on the interface between the upper and lower main channels, which generally accelerates the flow in the lower one and resists the flow in the upper one. Therefore, it is essential to consider the exchanges of momentum at both vertical and horizontal shear layer regions. In this paper, an attempt is made to improve the classical independent subsection method (ISM) to determine the magnitudes of flow and velocities in both upper and lower main channels. Four subsections are created in improved ISM according to the vertical and horizontal division lines that correspond to the vertical interface between the main channel and floodplain and the horizontal interface between upper and lower main channels respectively. The improved ISM consists in a set of four coupled 1D momentum equations (instead three equations of classical ISM) for subsections and a mass conservation equation for the total cross-section. The computed results show that the method is well capable of predicting the discharge distributions in the floodplain and main channel (both at upper and lower main channel).


REAKTOR ◽  
2017 ◽  
Vol 6 (2) ◽  
pp. 77
Author(s):  
N. Aryanti ◽  
Y. Bindar ◽  
I. G. Wenten

Membrane contactor is separation processing unit using membrane as a contacting device. The major advantage of membrane contactor relies on its high contact area compared to conventional scrubber. One of the important applications of membrane contactor is to reduce emission of acid gases. In this work, modeling of membrane contactor is conductedto describe concentration distribution along fiber length used to predict effective fiber length by solving mass conservation equation. Solving of mass conservation equation required information of fluid flow  distribution obtained by solving continuity and momentum equation simultaneously. The finite volume method is used to obtain the solution. Modeling of fluid flow was carried out by adding Darcy`s and Brinkman-Darcy flow models into Navier-Stokes equation. The momentum and continuity equation  are solved for two-dimentional cylindrical coordinate. The result of velocity profile at axial direction were validated with Pangrle et.al. (1992) experimental data. The comparison shows that consideration using Brinkman-Darcy flow model give agood agreement with experimental data in which maximal axial velocity achieved is 0,047 m/s for this model and 0,05 m/s for experimental data.the concentration profile at radial direction using Darcy and Brickman-Darcy flow models have also been investigated. Furthermore, concentration profile at axial direction using the both two flow models indicate a decrease of concentration along fiber length. The comparison between models and experimental data by Subhakti and Azmier (1997) agree very closely to the Brinkman- Darcy flow model. The prediction of effective  fiber length was conducted based on minimum economical flux oe\f membrane contactor. The calculation gives the effective fiber length obtained is 0.19 m at gas concentration, gas flow rate, and sorbent concentration of 0.02 mol/L, 0.8 m/s and 0.256 M respectively.Keywords : modeling, membrane contactor, Darcy, Brinkman-Darcy


2017 ◽  
Vol 21 (4) ◽  
pp. 1807-1812
Author(s):  
Hong-Yan Liu ◽  
Zhi-Min Li ◽  
Yan-Ju Yao ◽  
Frank Ko

This paper introduces an analytical method for the analysis and design of a dry-jet wet spinning system. The 1-D mass conservation equation is used, and velocity distribution is assumed to derive a simple relationship among various spinning parameters. The effect of spinneret mass flow rate, solution density, spinneret structure including velocity and air-gap length, and drawing velocity on the dry-jet wet spinning was simulated using the proposed analytical model. Theoretical prediction of fiber diameter is obtained, which depends upon spinning conditions, solution properties, and spinneret structure. The theoretical results were verified by comparing experimental data with the numerical solution. It was found obviously that the theoretical prediction has comparable accuracy as that by numerical computation. The analytical model can be useful for preliminary design of a spinning process for fabrication of fibers with controllable diameter by adjusting parameters in spinning conditions.


2014 ◽  
Vol 12 (3) ◽  
pp. 245
Author(s):  
Shuming Du, PhD

Shelter-in-place (SIP) is recommended by numerous entities as a measure to reduce harm in the event of a chemical accident or chemical attack taking place in the atmosphere. This article, based on solving mass conservation equation for indoor hazardous material, examines how effective SIP is to reduce the harm. It is shown that SIP can be effective when the shelter's air exchange rate is low and when the release duration is short. The effectiveness is strongly affected by the hazardous material itself: SIP is more effective for hazardous material with higher toxic load exponent. Another finding is that leaving the shelter promptly after the event can also be critical.


2013 ◽  
Vol 444-445 ◽  
pp. 906-911
Author(s):  
Yan Qun Jiang

This paper aims to mimic the herd behavior of pedestrian flow, i.e., the tendency towards majority when a congestion occurs, by macroscopic modeling approach. The macroscopic pedestrian simulation model is composed of a mass-conservation equation and a simple model to reflect behavioral characteristics of pedestrians based on a specific traffic situation. Numerical experiments are designed to show some preliminary results, e.g. the beneficial effect of herding on evacuation time in some situations.


2013 ◽  
Vol 325-326 ◽  
pp. 111-113
Author(s):  
Xiao Mei Lin ◽  
Li Sheng Zhang ◽  
Ye Tian

According to supercritical CO2Extraction and characteristics of tiller onion crush the processing, we have established a differential mass conservation model, Extraction rate was accurately obtained in the differential mass conservation model based on the characteristics of the BP neural network. Through further training, we got the network training and simulation figures. Finally, the differential mass conservation model was solved.


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