The transfer matrix is a powerful technique that can be applied to statistical mechanics systems as, for example, in the calculus of entropy ice model. One interesting way study such map it onto three-color problem. In this paper, we explicitly build problem order calculate number possible configurations finite with free, periodic one direction and toroidal boundary conditions (periodic both di...

fifty years ago warren and root have introduced the shape factor. this fundamental parameter for modeling of naturally fractured reservoirs has been discussed stormily ever since. different definitions for shape factor have been suggested which all of them are heuristically based. recently, heinemann and mittermeir mathematically derived - based on the dual-continuum theorem assuming pseudo-ste...

The current situation of world’s environmental issues, indicates that not only the man-made environmental damages have not been diminished, but also has given rise to more acute issues such as water and soil pollution, biodiversity loss, ozone depletion, greenhouse phenomena, etc. One of the most prominent effects of urban development on environmental problems caused by solid waste generated in...

We analyse the capacity of several two-dimensional constraint families — the exclusion, colouring, parity and charge model families. Using Baxter’s corner transfer matrix formalism combined with the corner transfer matrix renormalisation group method of Nishino and Okunishi, we calculate very tight lower bounds and estimates on the growth rates of these models. Our results strongly improve prev...

model order reduction is known as the problem of minimizing the -norm of the difference between the transfer function of the original system and the reduced one. in many papers, linear matrix inequality (lmi) approach is utilized to address the minimization problem. this paper deals with defining an extra matrix inequality constraint to guarantee that the minimum phase characteristic of the sys...

In the present work, forced convection heat transfer of slip flow in porous micro-tubes with local thermal non-equilibrium between the gas and the solid matrix is investigated numerically. For this purpose, the flow is considered hydrodynamically developed but thermally developing. The Darcy-Brinkman-Forchheimer model in conjunction with separate energy equations for the gas and the solid matri...