In the present paper, we investigate a new homogeneous relaxation model describing behaviour of two-phase fluid flow in low Mach number regime, which can be obtained as approximation well-known HRM. For this specific model, derive an equation state to describe thermodynamics fluid. We prove some theoretical properties satisfied by solutions and provide well-balanced scheme. To go further, insta...

Exact solutions have always played a central role in the investigation of physical theories whose content is encoded in a complicated set of di erential equations. The theory of general relativity is indeed an example of this. A number of exact solutions of Einstein's eld equations have been of key importance in the discussion of physical problems. Solutions have been found which describe black...

earth dam is a structure as homogeneous or non-homogeneous forms for raising water level or water supply. earth dam consist of different parts that one of the main parts is clay core. choosing an optimal non permeable core which causes reduction of seepage through dam body and also being stable is necessary. the objective of this research is to optimize the geometry of earth dam clay core such ...

In the present study, a heterogeneous and homogeneous gas flow dispersion model for simulation and optimization of a large-scale catalytic slurry reactor for the direct synthesis of dimethyl ether (DME) from synthesis gas (syngas) and CO2, using a churn-turbulent regime was developed. In the heterogeneous flow model, the gas phase was distributed into two bubble phases including small and large...