Wall displacements and ground pressure acting on the lining of a tunnel increase with time. These time-dependent deformations are both due to face advance effect and to the time-dependent behavior of the rock mass.  Viscoelastic materials exhibit both viscous and elastic behaviors. Thorough this study, the effect of different linear viscoelastic models including Maxwell, Kelvin and Kelvin-Voigt...

In this work, we consider pressurized phase-field fracture problems in nearly and fully incompressible materials. To end, a mixed form for the solid equations is proposed. enhance accuracy of spatial discretization, residual-type error estimator developed. Our algorithmic advancements are substantiated with several numerical tests that inspired from benchmark configurations. Therein, primal-bas...

In recent years, pressure-driven analyses of water distribution systems using pressure-flow relationships (PFRs) were shown to be more computationally efficient than those based on flow-pressure (FPRs), such as the widely used Wagner equation and various spline approximations. Using a PFR enhances convergence properties Newton–Raphson method by most network (WDN) solvers. This paper derives new...

A numerical approach called “SIMPLER” is used to investigate the  flow and heat transfer characteristics in a square driven cavity. The two-dimensional incompressible Navier-Stokes equations were solved and the results are depicted as contour plots of stream function, vorticity, and total pressure for Reynolds numbers from 1 to 10000. At the higher values of Reynolds number, an inviscid core re...

The present paper deals with the two-dimensional numerical simulation of gaseous flow and heat transfer in planar microchannel and nanochannel with different wall temperatures in transitional regime 0.1≤Kn≤1 . An atomistic molecular simulation method is used known as thermal lattice-Boltzmann method. The results of simulation are presented in four cases corresponding to the Fourier flow, shear-...

Discrete fluid volumes (plugs) are often needed for micro bioassay. Current methods of isolating discrete volumes use electrokinetic forces that require high voltages and result in ionic component separation of the sample. Pressure-driven flow through a double-T metering junction is a suggested alternative to this electrokinetic method. There has been no extensive analysis of pressure-driven pl...

Abstract. Comparison of particle (DSMC) simulation with the numerical solution of the Navier-Stokes (NS) equations for pressure-driven plane Poiseuille flow is presented and contrasted with that of the acceleration-driven Poiseuille flow. Although for the acceleration-driven case DSMC measurements are qualitatively different from the NS solution at relatively low Knudsen number, the two are in ...