Velocity and Momentum Decay Characteristics of a Submerged Viscoplastic Jet

2013 ◽  
Vol 136 (2) ◽  
Author(s):  
Khaled J. Hammad
Keyword(s):  
Flow Field ◽  
Yield Stress ◽  
Initial Velocity ◽  
Momentum Conservation ◽  
Wide Range ◽  
Velocity Decay ◽  
Flow Field Characteristics ◽  
Order Of Magnitude ◽  
Field Information ◽  
Penetration Depths

Velocity and momentum decay characteristics of a submerged viscoplastic non-Newtonian jet are studied within the steady laminar flow regime. The governing mass and momentum conservation equations along with the Bingham rheological model are solved numerically using a finite-difference scheme. A parametric study is performed to reveal the influence of the initial velocity profile, flow inertia, and yield stress presence on the flow field characteristics. Two initial velocity profiles are considered, a top-hat and fully developed pipe jets. The centerline velocity decay is found to be more rapid for the pipe jet than the top-hat one when the fluid is Newtonian while the opposite trend is observed for yield stress Bingham fluids. The decay in the momentum flux of the pipe jet is always less than that of the top-hat jet. Momentum and velocity based jet depths of penetration are introduced and used to analyze the obtained flow field information for a wide range of Reynolds and yield numbers. Depths of penetration are found to linearly increase with the Reynolds number and substantially decrease with the yield number. The presence of yield stress significantly reduces the momentum and velocity penetration depths of submerged top-hat and pipe jets. Penetration depths of yield stress fluids are shown to be more than an order of magnitude smaller than the ones corresponding to Newtonian fluids.

Depth of Penetration of a Submerged Viscoplastic Non-Newtonian Jet

2012 ◽  
Author(s):  
Khaled J. Hammad
Keyword(s):  
Reynolds Number ◽  
Laminar Flow ◽  
Flow Field ◽  
Rheological Model ◽  
Momentum Conservation ◽  
Depth Of Penetration ◽  
Wide Range ◽  
Order Of Magnitude ◽  
Field Information ◽  
Penetration Depths

Depth of penetration characteristics of a submerged viscoplastic non-Newtonian jet were studied by numerically solving the governing mass and momentum conservation equations along with the Bingham rheological model. Momentum and velocity based jet depths of penetration were introduced and used to analyze the obtained steady and laminar flow field information for a wide range of Reynolds and yield numbers. Depths of penetration were found to linearly increase with the Reynolds number and substantially decrease with the yield number. Penetration depths of yield stress fluids were shown to be more than an order of magnitude smaller than the ones corresponding to Newtonian fluids.

Effect of Inflow Conditions on the Velocity and Momentum Decay Characteristics of a Submerged Viscoplastic Jet

2012 ◽  
Author(s):  
Khaled J. Hammad
Keyword(s):  
Yield Stress ◽  
Initial Velocity ◽  
Momentum Conservation ◽  
Velocity Decay ◽  
Flow Field Characteristics ◽  
Profile Flow ◽  
Flow Inertia ◽  
Inflow Conditions ◽  
Penetration Depths ◽  
Steady Laminar

Velocity and momentum decay characteristics of a submerged viscoplastic non-Newtonian jet were studied within the steady laminar flow regime. The governing mass and momentum conservation equations along with the Bingham rheological model were solved numerically using a staggered, variable grid-size, finite-differences scheme. A parametric study was performed to reveal the influence of initial velocity profile, flow inertia, and yield stress presence on the local and global flow field characteristics. Two initial velocity profiles were considered, a top-hat jet, simulating a smooth nozzle contraction, and a fully developed pipe jet. The centerline velocity decay was more rapid for the pipe jet than the top-hat one when the fluid is Newtonian while the opposite trend was observed for yield stress Bingham fluids. The decay in the momentum flux of the pipe jet was always less than that of the top-hat jet. The presence of yield stress significantly reduces momentum and velocity penetration depths of submerged top-hat and pipe jets.

Flow of Yield Power Law Fluids in Horizontal Pipes-Flow Field Characterization Using Particle Image Velocimetry Technique

2021 ◽  
Author(s):  
Yanxin (Sussi) Sun ◽  
Abdulla Abou-Kassem ◽  
Majid Bizhani ◽  
Ergun Kuru
Keyword(s):  
Experimental Study ◽  
Flow Field ◽  
Velocity Profile ◽  
Yield Stress ◽  
Power Law ◽  
Pipe Flow ◽  
Hydrodynamic Behaviour ◽  
Yield Stress Fluids ◽  
Power Law Fluids ◽  
Flow Field Characteristics

Abstract Yield Power Law (YPL) rheological model is commonly used to describe the pipe and annular flow of drilling fluids. However, the hydrodynamic behaviour of fluids with yield stress are difficult to predict because they exhibit an inherent plug (solid like) region where the velocity gradient is zero. Moreover, it is not easy to identify the transition between this solid like and liquid regions. Theoretical studies have been conducted in the past to describe YPL fluid flow in pipes and annuli. As a result, several models have been proposed for determining flow field characteristics (e.g. velocity profile, plug width, etc.) and frictional pressure losses. However, most of these models have been validated by limited experimental and/or field data. Similar future modeling studies may benefit from more data collected under controlled experimental conditions. Therefore, we have conducted an experimental study to investigate the hydrodynamic behaviour of yield stress fluids under laminar pipe flow conditions and the results are presented in this paper. Water-based Yield Power Law fluids were prepared by using Carbopol® 940, a synthetic high-molecular-weight polyacrylic acid-based cross-linked polymer. Fluids with yield stresses varying from 0.75 Pa (1.56 lb/100 ft2) to 4.37 Pa (9.13 lb/100 ft2) were obtained by using Carbopol concentrations changing from 0.060% w/w to 0.073% w/w. A 9m long horizontal pipeline with, 95 mm diameter (ID) was used for the experiments. Reynolds number range varying from 97 to 1268 confirmed that all flow field characteristics measurements of YPL fluids were conducted under laminar flow regimes. Experimental study provided detailed information about pipe flow characteristics of yield stress fluids, including full annular velocity profile, near wall velocity profile, wall slip velocity and the plug region thickness. The study was concluded by comparing experimental results (i.e. full velocity profile, frictional pressure loss, and plug width) to predictions of models presented in the literature. Practical implications of the results have also been discussed by considering the hydraulic design of some practical field operations such as hole cleaning.

Computational Modeling of Enhanced Laminar Flow Heat Transfer in Viscoplastic Fluids in Corrugated-Plate Channels

2002 ◽  
Author(s):  
Hossam M. Metwally ◽  
Raj M. Manglik
Keyword(s):  
Heat Transfer ◽  
Yield Stress ◽  
Power Law ◽  
Flow Behavior ◽  
Shear Thinning ◽  
Bingham Plastic ◽  
Wide Range ◽  
Order Of Magnitude ◽  
Colburn Factor ◽  
Power Law Index

The enhanced heat transfer in laminar viscoplastic, shear thinning, Herschel-Bulkley fluid flows in sinusoidal corrugated-plate channels is investigated. With uniform-temperature plate walls, periodically developed flows are considered for a wide range of flow rates (10 ≤ Reg ≤ 700) and pseudoplastic flow behavior indices (n = 0.54, 0.8, and 1.0; the latter representing a Bingham plastic). The effects of fluid yield stress are simulated for the case where τy = 1.59 N/m2, representing a 0.5% xantham gum aqueous solution. Typical velocity and temperature distributions, along with extended results for isothermal friction factor ƒ and Colburn factor j are presented. The effect of the yield stress is found to be most dominant at low Reg regardless of the power law index n, and the recirculation or swirl in the wall trough regions is weaker than in the cases of Newtonian and power-law liquids. At higher Reg, the performance of the Herschel-Bulkley fluid asymptotically approaches that of the non-yield-stress power-law fluid. At low Reg, the yield stress increases ƒ by an order of magnitude and j is enhanced because of the higher wall gradients imposed by the plug-like flow field. The relative heat transfer enhancement, represented by the ratio (j/ƒ), and the role of the fluid yield stress and shear-thinning (or pseudoplastic) behaviors are also discussed.

Influence of the Primary Jets and Fuel Injection on the Aerodynamics of a Prototype Annular Gas Turbine Combustor Sector

2010 ◽  
Author(s):  
Bassam Mohammad ◽  
San-Mou Jeng ◽  
M. Gurhan Andac
Keyword(s):  
Flow Field ◽  
Fuel Injection ◽  
Swirling Flow ◽  
Reacting Flow ◽  
Strong Impact ◽  
Convective Cooling ◽  
Fuel Flow ◽  
Flow Field Characteristics ◽  
Order Of Magnitude ◽  
Primary Jets

Transverse dilution jets are widely used in combustion systems. The current research provides a detailed study of the primary jets of a realistic annular combustion chamber sector. The combustor sector comprises an aerodynamic diffuser, inlet cowl, combustion dome, primary dilution jets, secondary dilution jets and cooling strips to provide convective cooling to the liner. The chamber contracts toward the end to fit the turbine nozzle ring. 2D PIV is employed at an atmospheric pressure drop of 4% (isothermal) to delineate the flow field characteristics. The laser is introduced to the sector through the exit flange. The interaction between the primary jets and the swirling flow as well as the sensitivity of the primary jets to perturbations is discussed. The perturbation study includes: effect of partially blocking the jets, one at a time, the effect of blocking the convective cooling holes, placed underneath the primary jets and shooting perpendicular to it. In addition, the effect of reducing the size of the primary jets as well as off-centering the primary jets is explained. Moreover, PIV is employed to study the flow field with and without fuel injection at four different fuel flow rates. The results show that the flow field is very sensitive to perturbations. The cooling air interacts with the primary jet and influences the flow field although the momentum ratio has a 100:1 order of magnitude. The results also show that the big primary jets dictate the flow field in the primary zone as well as the secondary zone. However, relatively smaller jets mainly influence the primary combustion zone because most of the jet is recirculated back to the CRZ. Also, the jet penetration is reduced with 25% and 11.5% corresponding to a 77% and 62% reduction of the jet’s area respectively. The study indicates the presence of a critical jet diameter beyond which the dilution jets have minimum impact on the secondary region. The jet off-centering shows significant effect on the flow field though it is in the order of 0.4 mm. The fuel injection is also shown to influence the flow field as well as the primary jets angle. High fuel flow rate is shown to have very strong impact on the flow field and thus results in a strong distortion of both the primary and secondary zones. The results provide useful methods to be used in the flow field structure control. Most of the effects shown are attributed to the difference in jet opposition. Hence, the results are applicable to reacting flow.

Flow Patterns of an Annular Viscoplastic Jet

2013 ◽  
Author(s):  
Khaled J. Hammad
Keyword(s):  
Flow Field ◽  
Recirculation Zone ◽  
Outer Zone ◽  
Flow Patterns ◽  
Momentum Conservation ◽  
Wall Region ◽  
Flow Recirculation ◽  
Annular Jet ◽  
Flow Field Characteristics ◽  
Recirculation Zones

The global flow field characteristics of a submerged annular viscoplastic jet were investigated within the steady laminar flow regime. The governing mass and momentum conservation equations, along with the Bingham rheological model, were numerically solved using a finite-difference scheme. Central and outer recirculation zones typically characterize the flow of a Newtonian annular jet. However, the performed parametric study revealed new and unique-to-viscoplastic-fluids flow features. The following flow patterns were observed and classified according to the characteristics of the central and outer recirculation zones: 1) for small yield numbers, central and outer recirculation zones exist. The extent of the outer zone and recirculation intensity of both zones were found to substantially diminish with the yield number; 2) at a high enough yield number, a stagnant, attached-to-the-wall region replaces the outer recirculation zone while a central, yet weaker one, still exists; 3) a further increase in the yield number results in the replacement of the weak central recirculation zone with a stagnant one and the elimination of flow recirculation throughout the whole flow field. The annular jet was found to decay faster and dissipate more rapidly when increasing the inner-to-outer annular nozzle diameter ratio.

Influence of the Primary Jets and Fuel Injection on the Aerodynamics of a Prototype Annular Gas Turbine Combustor Sector

2010 ◽  
Vol 133 (1) ◽  
Author(s):  
Bassam Mohammad ◽  
San-Mou Jeng ◽  
M. Gurhan Andac
Keyword(s):  
Flow Field ◽  
Fuel Injection ◽  
Swirling Flow ◽  
Reacting Flow ◽  
Strong Impact ◽  
Convective Cooling ◽  
Fuel Flow ◽  
Flow Field Characteristics ◽  
Order Of Magnitude ◽  
Primary Jets

Transverse dilution jets are widely used in combustion systems. The current research provides a detailed study of the primary jets of a realistic annular combustion chamber sector. The combustor sector comprises an aerodynamic diffuser, inlet cowl, combustion dome, primary dilution jets, secondary dilution jets, and cooling strips to provide convective cooling to the liner. The chamber contracts toward the end to fit the turbine nozzle ring. 2D PIV is employed at an atmospheric pressure drop of 4% (isothermal) to delineate the flow field characteristics. The laser is introduced to the sector through the exit flange. The interaction between the primary jets and the swirling flow as well as the sensitivity of the primary jets to perturbations is discussed. The perturbation study includes: effect of partially blocking the jets, one at a time, the effect of blocking the convective cooling holes, placed underneath the primary jets and shooting perpendicular to it. In addition, the effect of reducing the size of the primary jets as well as off-centering the primary jets is explained. Moreover, PIV is employed to study the flow field with and without fuel injection at four different fuel flow rates. The results show that the flow field is very sensitive to perturbations. The cooling air interacts with the primary jet and influences the flow field although the momentum ratio has a 100:1 order of magnitude. The results also show that the big primary jets dictate the flow field in the primary zone as well as the secondary zone. However, relatively smaller jets mainly influence the primary combustion zone because most of the jet is recirculated back to the CRZ. Also, the jet penetration is reduced with 25% and 11.5% corresponding to a 77% and 62% reduction of the jet’s area, respectively. The study indicates the presence of a critical jet diameter beyond which the dilution jets have minimum impact on the secondary region. The jet off-centering shows significant effect on the flow field though it is in the order of 0.4 mm. The fuel injection is also shown to influence the flow field as well as the primary jets angle. High fuel flow rate is shown to have very strong impact on the flow field and thus results in a strong distortion of both the primary and secondary zones. The results provide useful methods to be used in the flow field structure control. Most of the effects shown are attributed to the difference in jet opposition. Hence, the results are applicable to reacting flow.

scholarly journals Influence of External Jet on Hydraulic Performance and Flow Field Characteristics of Water Jet Propulsion Pump Device

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Jinxin Wu ◽  
Li Cheng ◽  
Can Luo ◽  
Chuan Wang
Keyword(s):  
Flow Field ◽  
Axial Force ◽  
Water Body ◽  
Jet Flow ◽  
Hydraulic Performance ◽  
Water Jet ◽  
Jet Propulsion ◽  
Wide Range ◽  
Depth Analysis ◽  
Flow Field Characteristics

Water jet propulsion technology has broad application prospects in the field of ships, and water jet technology is a kind of high and new technology that is booming and has a wide range of applications. However, there are a few studies on the effect of the external jet on the performance of the water jet propulsion pump, and it is urgent to carry out this research. In this paper, the standard k-ε turbulence model is used to carry out the numerical simulation study of the influence of the external jet on the hydraulic performance and flow field characteristics of the water jet propulsion pump device. This paper discusses the selection of calculation models, the division of grids and the setting of turbulence models, and an in-depth analysis of the calculation results. The research results show that when a high-speed water jet enters a moving water body, it will cause turbulence in the moving water body. With the increase of jet flow, the turbulence phenomenon will be improved. The average velocity of the outlet section of the nozzle is consistent with the change of the total pressure. The average vortex gradually decreases, the turbulent kinetic energy changes little, the turbulence dissipation first decreases and then increases, and the nozzle axial force changes more and more. The axial force and thrust of the device will obviously increase when the two water streams merge and spray, and they will increase with the increase of the jet flow rate. By revealing the influence mechanism of the external jet on the water jet propulsion pump device, it can provide a theoretical basis and guiding direction for further optimizing the hydraulic performance of the entire device.

scholarly journals Impact of Powder Properties on the Rheological Behavior of Excipients

Pharmaceutics ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1198
Author(s):  
Pauline H. M. Janssen ◽  
Sébastien Depaifve ◽  
Aurélien Neveu ◽  
Filip Francqui ◽  
Bastiaan H. J. Dickhoff
Keyword(s):  
Flow Field ◽  
Rheological Behavior ◽  
Quality By Design ◽  
Filling Process ◽  
Dynamic Flow ◽  
Die Filling ◽  
Flow Characterization ◽  
Wide Range ◽  
Powder Properties ◽  
The Impact

With the emergence of quality by design in the pharmaceutical industry, it becomes imperative to gain a deeper mechanistic understanding of factors impacting the flow of a formulation into tableting dies. Many flow characterization techniques are present, but so far only a few have shown to mimic the die filling process successfully. One of the challenges in mimicking the die filling process is the impact of rheological powder behavior as a result of differences in flow field in the feeding frame. In the current study, the rheological behavior was investigated for a wide range of excipients with a wide range of material properties. A new parameter for rheological behavior was introduced, which is a measure for the change in dynamic cohesive index upon changes in flow field. Particle size distribution was identified as a main contributing factor to the rheological behavior of powders. The presence of fines between larger particles turned out to reduce the rheological index, which the authors explain by improved particle separation at more dynamic flow fields. This study also revealed that obtained insights on rheological behavior can be used to optimize agitator settings in a tableting machine.

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