The problem of Two-phase MHD boundary layer flow, heat and mass transfer over a stretching sheet with fluid-particle suspension and thermal radiation has been studied. The e ect of mass transfer in dusty uid over a stretching sheet is considered for the first time. The governing equations are reduced to a set of non-linear ordinary differential equations under suitable similarity transformations. The transformed equations are then solved numerically. The influence of various physical parameters such as magnetic parameter, fluid-particle interaction parameters, Prandtl number, Eckert number and thermal radiation parameter on velocity, temperature and concentration of both fluid and particle phase is analyzed. The numerical results of the present investigation were compared with previously published results and found to be an excellent agreement. It is found that, the momentum, thermal and solute boundary layer thickness of both fluid and dust phase are reduced for higher values of mass concentration of suspended dust particles.

In Two phase flow investigation, there is a need for robust methods capable of predicting interfaces, in addition to treating the traditional governing equations of fluid mechanics (Navier-Stokes Eqs). Such methods in a finite volume approach can be classified into Two typical categories called interface tracking and interface capturing methods. According to their abilities, interface capturing methods are of more interest in free surface modeling, especially when complex interface topologies such as wave breaking are included. These methods solve a scalar transport equation in order to find the distribution of Two phases all over the computational domain. That is, all properties of the effective fluid will be calculated. In this paper, some existing schemes will be reviewed and Two high order composite schemes will be applied on a discretised form of the volume fraction convection equation. A discussion on the performance of methods will be presented as a result of different scalar distribution convection in various velocity fields according to the program that has been developed in this manner. It will be presented to show that CICSAM (Compressive Interface Capturing Scheme for Arbitrary Mesh) can be used as a good choice for free surface simulation in practice.

The paper presents the modeling of Two-phase flow in turbulent flow. For this purpose, a Two-fluid turbulence model is used. The work can be considered the development of a Two-fluid approach to the problem of turbulence, which, unlike Reynolds' approach, leads to a closed system of equations. Therefore, the system of equations for a Two-phase flow given in the work based on the Two-fluid approach is also closed and no additional hypotheses are required. The resulting system of equations for a turbulent Two-phase flow is implemented numerically for a Two-phase flow in a cylindrical pipe and in a free jet. The obtained results are compared with known experimental data, as well as with the results of the Reynolds stress method (RSM). The results of the proposed model are in good agreement with experimental data. In addition, it is shown that the model adequately describes the phenomenon of “turbulent migration of particles, ” resulting in the accumulation of inertial particles on the axis and wall of the pipe.

Although Two-phase flow is frequently encountered in various locations of the process plants, there is no a generally accepted and verified Twophase flow model that may be used to size lines for such conditions. An obvious example is condensate water return lines. The API method used in this study is based on the homogeneous equilibrium flow assumption, that is, equal velocity and equal temperature in both liquid and vapor phases. Moreover, DIERS method was used to verify and clarify the HEM approach to calculating the pressure drop in Twophase regimes. The objective of this study is to introduce a solution for process lines design during different flashing scenarios. Applying API method, this study can find the Two-phase line pressure drop and upstream pressure, while, by using DIERS method, one could realize that for a specified length of pipe how much Two-phase flow could pass through when the pressure drop is just the same as that in the API model.