One-dimensional models for heat and mass transfer in pulse-tube refrigerators

Cryogenics ◽  
2001 ◽  
Vol 41 (8) ◽  
pp. 573-582 ◽  
Author(s):  
W.R. Smith
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Pulse Tube ◽  
One Dimensional ◽  
Dimensional Models ◽  
Pulse Tube Refrigerators

scholarly journals Nonstationary flow of roiling liquid

1984 ◽  
Vol 6 (4) ◽  
pp. 12-20
Author(s):  
Duong Ngoc Hai
Keyword(s):  
Mass Transfer ◽  
Differential Equations ◽  
Phase Boundary ◽  
Heat And Mass Transfer ◽  
Numerical Results ◽  
Linear Differential Equations ◽  
Nonstationary Flow ◽  
One Dimensional ◽  
Boiling Liquid ◽  
Linear Differential

Steady one-dimensional nonstationary flow of boiling liquid from finite or infinit pipe in a consideration of the effect of the phase-boundary heat and mass transfer. The Received system of quasi-linear differential equations has been decided by the modificati on of Lax - wendroff method in IBM. Numerical results are compared as xperimental data.

Numerical Simulation of Heat and Mass Transfer of Limestone Decomposition in Normal Shaft Kiln

2011 ◽  
Author(s):  
Duc Hai Do ◽  
Eckehard Specht
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Large Scale ◽  
Solid Material ◽  
Local Heat ◽  
Operational Parameters ◽  
Calcination Process ◽  
One Dimensional ◽  
Shrinking Core ◽  
Particle Bed

A mathematical model of lime calcination process in normal shafts kiln has been developed to determine the heat and mass transfer between the gas and the solid. The model is one-dimensional and steady state. The transport of mass and energy of the gas and the solid is modeled by a system of ordinary differential equations. A shrinking core approach is employed for the mechanics and chemical reactions of the solid material. The model can be used to predict the temperature profiles of the particle bed, the gas phase along the length of kiln axis. The calcination behavior of the particle bed can be also investigated. The influences of operational parameters such as: energy input, the origin of feed limestone and the lime throughput on the kiln performance including pressure drop are considered. Additionally, the local heat loss through the kiln wall is studied. The results of this study are direct utility for optimization and design of large-scale technical shaft kilns.

The Effects of Micro Scale Solute Redistribution on the Macro Scale Heat and Mass Transfer During Casting Processes

2005 ◽  
Author(s):  
Hong Nie ◽  
Yan-Hui Feng ◽  
Xin-Xin Zhang
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Transfer Model ◽  
Back Diffusion ◽  
Mass Transfer Model ◽  
One Dimensional ◽  
Solidification Model ◽  
Casting Technology ◽  
Macro Scale ◽  
Good Agreement

One-dimensional plate-like dendritic model is built to describe the microsegregation during binary alloy solidification with solid back-diffusion and complete diffusion in the liquid. The specialties of microsegregation for Al-Cu and Fe-C alloys are analyzed and compared by simulation. Moreover, the microsegregation model is developed to couple with the macro solidification model which simulates the heat and mass transfer with phase change for the new Inverse Casting Technology. The numerical results are proven to be in good agreement with experimental data. It shows that the microsegregation numerical model can reflect the micro mass transfer accurately and can be coupled reliably with macro heat and mass transfer model for solidification. In addition, both the micro and macro investigation shows that the solidification of Fe-C alloy progresses almost in equilibrium.

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