Analytical solution of transient flow in a sloping soil layer with recharge

2006 ◽  
Vol 51 (4) ◽  
pp. 626-641 ◽  
Author(s):  
EVANGELOS AKYLAS ◽  
ANTONIS D. KOUSSIS ◽  
ATHANASIOS N. YANNACOPOULOS
Keyword(s):  
Analytical Solution ◽  
Transient Flow ◽  
Soil Layer

Analytical Solution to the Transient-Flow Problems for a Well Located near a Finite-Conductivity Fault in Composite Reservoirs

2003 ◽  
Author(s):  
N.M. Anisur Rahman ◽  
Michael D. Miller ◽  
Louis Mattar
Keyword(s):  
Analytical Solution ◽  
Transient Flow ◽  
Finite Conductivity ◽  
Flow Problems

A new analytical solution to axisymmetric Biot’s consolidation of a finite soil layer

2008 ◽  
Vol 29 (12) ◽  
pp. 1617-1624 ◽  
Author(s):  
Zhi-yong Ai ◽  
Quan-sheng Wang
Keyword(s):  
Analytical Solution ◽  
Soil Layer ◽  
Finite Soil Layer ◽  
Biot’S Consolidation

Analytical Solution of 1-D Viscoelastic Consolidation of Soft Soils with Fractional Maxwell Model

2012 ◽  
Vol 157-158 ◽  
pp. 419-423
Author(s):  
Ya Peng Zhang ◽  
Feng Gao
Keyword(s):  
Analytical Solution ◽  
Soft Soil ◽  
Soil Layer ◽  
Viscoelastic Model ◽  
Integral Form ◽  
Maxwell Model ◽  
One Dimensional ◽  
The Laplace Transform ◽  
Fractional Maxwell Model ◽  
The One

Considering the rheological characteristics of soil, think the fractional maxwell with viscoelastic model can be described, the fractional maxwell model into integral form of saturated soft soil layer, the one dimensional compression, through the Laplace transform problems get instantaneous loading and single stage, the analytical solution of the loading conditions.

scholarly journals Development of A Process for Predicting the Overall Heat Transfer Coefficient for Transient Heat Transfer in An Exhaust System using CFD

2019 ◽  
Vol 8 (2) ◽  
pp. 2529-2533
Keyword(s):  
Heat Transfer ◽  
Heat Transfer Coefficient ◽  
Analytical Solution ◽  
Transfer Coefficient ◽  
Gas Flow ◽  
Transient Flow ◽  
Exhaust System ◽  
Outlet Temperature ◽  
Governing Equations ◽  
Overall Heat Transfer Coefficient

The analysis of heat transfer of automotive exhaust system is most important since their prominence in the design and also in the optimization phase of exhaust after treatment system.This paperdeals with the process which can be useful to predict the overall heat transfer coefficient for the transient flow of pipe in the after treatment system. This considers the convection of heat along gas flow, the convection between gas and wall, conduction through wall, radiation and of course convection to the ambient. Governing equations are obtained for the transient flow in a pipe for calculating gas temperature and wall temperature at distance x and time t. Analytical solution will be computed using CFD techniques for these governing equations. From the obtained analytical solution to the transient flow in pipe an excel tool will be developed which can be able to give the outlet temperature of the pipe in transient flow at length x and time t, total heat loss from pipe to the ambient, overall heat transfer coefficient for the pipe

scholarly journals 2D Plane Strain Consolidation Process of Unsaturated Soil with Vertical Impeded Drainage Boundaries

Processes ◽  
2018 ◽  
Vol 7 (1) ◽  
pp. 5 ◽  
Author(s):  
Minghua Huang ◽  
Dun Li
Keyword(s):  
Analytical Solution ◽  
Laplace Transform ◽  
Plane Strain ◽  
Unsaturated Soil ◽  
Analytical Solutions ◽  
Soil Layer ◽  
Permeability Ratio ◽  
Consolidation Process ◽  
The Time Domain ◽  
Excess Pore Pressures

The consolidation process of soil stratum is a common issue in geotechnical engineering. In this paper, the two-dimensional (2D) plane strain consolidation process of unsaturated soil was studied by incorporating vertical impeded drainage boundaries. The eigenfunction expansion and Laplace transform techniques were adopted to transform the partial differential equations for both the air and water phases into two ordinary equations, which can be easily solved. Then, the semi-analytical solutions for the excess pore-pressures and the soil layer settlement were derived in the Laplace domain. The final results in the time domain could be computed by performing the numerical inversion of Laplace transform. Furthermore, two comparisons were presented to verify the accuracy of the proposed semi-analytical solutions. It was found that the semi-analytical solution agreed well with the finite difference solution and the previous analytical solution from the literature. Finally, the 2D plane strain consolidation process of unsaturated soil under different drainage efficiencies of the vertical boundaries was illustrated, and the influences of the air-water permeability ratio, the anisotropic permeability ratio and the spacing-depth ratio were investigated.

A new analytical solution for one dimensional transient flow in unsaturated soils

2010 ◽  
pp. 1029-1034
Author(s):  
H Aghjani ◽  
A Soroush
Keyword(s):  
Analytical Solution ◽  
Unsaturated Soils ◽  
Transient Flow ◽  
One Dimensional

A modeling and analytical solution for transient flow in natural gas pipelines with extended partial blockage

2015 ◽  
Vol 22 ◽  
pp. 141-149 ◽  
Author(s):  
Zongming Yuan ◽  
Zhibin Deng ◽  
Maoze Jiang ◽  
Ying Xie ◽  
Yue Wu
Keyword(s):  
Natural Gas ◽  
Analytical Solution ◽  
Transient Flow ◽  
Gas Pipelines ◽  
Natural Gas Pipelines

Analytical solution for transient flow into a hemispherical auger hole

2000 ◽  
Vol 228 (1-2) ◽  
pp. 1-9 ◽  
Author(s):  
A.R Kacimov
Keyword(s):  
Analytical Solution ◽  
Transient Flow
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