Transient network approach

Moya A A, Hayas A, Homo J (2000) Steady-state, transient and smaU-ampUtude AC responses of an electrochemical ceU with immobile background charge a network approach. Solid State Ionics 130 9-17... 

We have studied the hydrodynamic properties of polymer solutions by using microscopic equations as a starting point. An alternative way is to use a more macroscopic approach, very similar to the two fluid models for viscoelastic gels proposed by Tanaka, Hocker and Benedek. In a semi-dilute solution, the polymer forms a transient network of elastic modulus E. The displacement of each point of the network is u r). The solvent is a continuum described by a velocity field v(i ). 

Consider transient heat conduction in a plane wall with variable heal generation and constant thermal conductivity. The nodal network of (he medium consists of nodes 0, 1, 2, 3, and 4 with a uniform nodal spacing of A.r. The wall is initially at a specified temperaWre. The temperature at the right bound ary (node 4) is specified. Using the energy balance approach, obtain the explicit finite difference formulation of the boundary... 

Letwimolnun et al. [2007] used two models to explain the transient and steady-state shear behavior of PP nanocomposites. The first model was a simplified version of the stmcture network model proposed by Yziquel et al. [1999] describing the nonlinear behavior of concentrated suspensions composed of interactive particles. The flow properties were assumed to be controlled by the simultaneous breakdown and buildup of suspension microstructure. In this approach, the stress was described by a modified upper-convected Jeffery s model with a modulus and viscosity that are functions of the suspension structure. The Yziquel et al. model might be written ... 

---