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Mixing different fluids is common in many industrial applications. Distillation columns (vapour and liquid), solvent extraction (liquid and liquid), and gas-sparged reactors (gas and liquid) in the refining and biochemical industries are typical examples. In these operations, the interfacial area limits the inter-fluid heat, mass and momentum transfer and, ultimately, the overall process performance. To better understand the mixing process, we are developing a two-fluid model that predicts interfacial area generation for various immiscible fluids in jets, tees and selected static mixers. We have chosen these devices because they are simple, cheap to build and provide a controlled environment to study interfacial area generation. In addition, most complex industrial operations are various combinations of simple mixing geometries. For example, an array of gas 'jets' can model an absorber sieve plate.We are studying interfacial area concentration because it is an important parameter in analyzing two-phase flow. For this work, we are using a two-fluid model, because multi-fluid models are more accurate and they are the basis for many current commercial and academic fluid dynamics codes such as PHOENICS, CFDLIB, FLOW-3D (CFX), STAR-3D and FLUENT (Versteeg et al., 1995).Multi-fluid models start with instantaneous momentum, energy and mass balances for each fluid, which are averaged in various ways because the instantaneous equations require large computing resources to solve. The multi-fluid model can be more accurate than mixture or drift-flux models because it uses information on the fluid interaction at the interface in addition to interactions within the fluid. These interfacial interactions are described by either empirical or semi-theoretical constitutive equations. In the present state-of-the-art, the interfacial interaction terms are the weakest and least understood parts of the multi-fluid model.Interfacial area concentration plays an important role because inter-fluid interactions occur across an interfacial contact surface. Therefore, these terms are modelled as:In this equation (Ishii, 1975), interfacial area concentration is the interfacial contact area divided by the volume of the fluid mixture. It describes the interfacial geometric structure, which depends on the flow parameters of the system. The driving force depends on the turbulent and molecular effects. Hence, the interfacial area concentration can be described by an In multiphase operations, such as liquid-liquid or gas-liquid systems, the interfacial area affects the interfluid heat, mass and momentum transfer and ultimately, the overall equipment performance. To better understand the mixing process, we developed a multi-fluid model that predicts interfacial area for kerosene-water mixtures in co-current jet mixers. The model has ensemble-averaged conservation equations for each fluid and includes a transport equation, derived from an overall energy balance, for the interfacial area concentration. In the model, the mechanical energy of the conti...
Mixing different fluids is common in many industrial applications. Distillation columns (vapour and liquid), solvent extraction (liquid and liquid), and gas-sparged reactors (gas and liquid) in the refining and biochemical industries are typical examples. In these operations, the interfacial area limits the inter-fluid heat, mass and momentum transfer and, ultimately, the overall process performance. To better understand the mixing process, we are developing a two-fluid model that predicts interfacial area generation for various immiscible fluids in jets, tees and selected static mixers. We have chosen these devices because they are simple, cheap to build and provide a controlled environment to study interfacial area generation. In addition, most complex industrial operations are various combinations of simple mixing geometries. For example, an array of gas 'jets' can model an absorber sieve plate.We are studying interfacial area concentration because it is an important parameter in analyzing two-phase flow. For this work, we are using a two-fluid model, because multi-fluid models are more accurate and they are the basis for many current commercial and academic fluid dynamics codes such as PHOENICS, CFDLIB, FLOW-3D (CFX), STAR-3D and FLUENT (Versteeg et al., 1995).Multi-fluid models start with instantaneous momentum, energy and mass balances for each fluid, which are averaged in various ways because the instantaneous equations require large computing resources to solve. The multi-fluid model can be more accurate than mixture or drift-flux models because it uses information on the fluid interaction at the interface in addition to interactions within the fluid. These interfacial interactions are described by either empirical or semi-theoretical constitutive equations. In the present state-of-the-art, the interfacial interaction terms are the weakest and least understood parts of the multi-fluid model.Interfacial area concentration plays an important role because inter-fluid interactions occur across an interfacial contact surface. Therefore, these terms are modelled as:In this equation (Ishii, 1975), interfacial area concentration is the interfacial contact area divided by the volume of the fluid mixture. It describes the interfacial geometric structure, which depends on the flow parameters of the system. The driving force depends on the turbulent and molecular effects. Hence, the interfacial area concentration can be described by an In multiphase operations, such as liquid-liquid or gas-liquid systems, the interfacial area affects the interfluid heat, mass and momentum transfer and ultimately, the overall equipment performance. To better understand the mixing process, we developed a multi-fluid model that predicts interfacial area for kerosene-water mixtures in co-current jet mixers. The model has ensemble-averaged conservation equations for each fluid and includes a transport equation, derived from an overall energy balance, for the interfacial area concentration. In the model, the mechanical energy of the conti...
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