Development of New Wall Friction Factor and Interfacial Friction Factor Correlations for Gas-Liquid Stratified Flow in Wells and Pipelines

1996 ◽  
Author(s):  
Liang-Biao Ouyang ◽  
Khalid Aziz
Keyword(s):  
Friction Factor ◽  
Stratified Flow ◽  
Wall Friction ◽  
Interfacial Friction

Application of generalized Fourier heat conduction law on MHD viscoinelastic fluid flow over stretching surface

2019 ◽  
Vol 30 (6) ◽  
pp. 3481-3496 ◽  
Author(s):  
Arif Hussain ◽  
Muhammad Yousaf Malik ◽  
Mair Khan ◽  
Taimoor Salahuddin
Keyword(s):  
Heat Flux ◽  
Fluid Flow ◽  
Friction Factor ◽  
Numerical Technique ◽  
Wall Heat Flux ◽  
Constitutive Law ◽  
Wall Friction ◽  
Theoretical Physics ◽  
Stretching Surface ◽  
Content Type

Purpose The purpose of current flow configuration is to spotlights the thermophysical aspects of magnetohydrodynamics (MHD) viscoinelastic fluid flow over a stretching surface. Design/methodology/approach The fluid momentum problem is mathematically formulated by using the Prandtl–Eyring constitutive law. Also, the non-Fourier heat flux model is considered to disclose the heat transfer characteristics. The governing problem contains the nonlinear partial differential equations with appropriate boundary conditions. To facilitate the computation process, the governing problem is transmuted into dimensionless form via appropriate group of scaling transforms. The numerical technique shooting method is used to solve dimensionless boundary value problem. Findings The expressions for dimensionless velocity and temperature are found and investigated under different parametric conditions. The important features of fluid flow near the wall, i.e. wall friction factor and wall heat flux, are deliberated by altering the pertinent parameters. The impacts of governing parameters are highlighted in graphical as well as tabular manner against focused physical quantities (velocity, temperature, wall friction factor and wall heat flux). A comparison is presented to justify the computed results, it can be noticed that present results have quite resemblance with previous literature which led to confidence on the present computations. Originality/value The computed results are quite useful for researchers working in theoretical physics. Additionally, computed results are very useful in industry and daily-use processes.

scholarly journals Investigation on Nonlinear Flow Behavior through Rock Rough Fractures Based on Experiments and Proposed 3-Dimensional Numerical Simulation

Geofluids ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-34
Author(s):  
Xianshan Liu ◽  
Man Li ◽  
Nandou Zeng ◽  
Tao Li
Keyword(s):  
Pressure Gradient ◽  
Friction Factor ◽  
Flow Behavior ◽  
Nonlinear Flow ◽  
Wall Friction ◽  
Cloud Data ◽  
3 Dimensional ◽  
Relative Roughness ◽  
Seepage Characteristics ◽  
Relationship Of

Rock fractures as the main flow channels, their morphological features, and spatial characteristics deeply influence the seepage behavior. Reservoir sandstones as a case study, four splitting groups of fractures with different roughness were scanned to get the geometric features, and then the seepage experiments were taken to analyze the relationship of the pressure gradient ∇ P and flow rate Q , and the critical Reynolds number( Re c ) and wall friction factor ( f ) were determined to explain the translation of linear seepage to nonlinear seepage condition. Based on the scanning cloud data of different rough fractures, the fractures were reconstructed and introduced into the COMSOL Multiphysics software; a 3-dimensional seepage model for rough fractures was calibrated and simulated the seepage process and corresponding pressure distribution, and explained the asymmetry of flow velocity. And also, the seepage characteristics were researched considering aperture variation of different sample fractures; the results indicated that increasing aperture for same fracture decreased the relative roughness, the fitting coefficients by Forchheimer formula based on the data ∇ P ~ Q decreased, and the figures about the coefficients and corresponding aperture described nonlinear condition of the above rough fractures. In addition, the expression of wall friction factor was derived, and relationship of f , Re , and relative roughness indicated that f increased with increasing fracture roughness considering the same aperture, resulting in nonlinear flow more easily, otherwise is not, showing that f could be used to describe the seepage condition and corresponding turning point. Finally, it can be seen from the numerical results that the nonlinearity of fluid flow is mainly caused by the formation of eddies at fracture intersections and the critical pressure gradient decreases with increasing angle. And also, analysis about the coefficient B in the Forchheimer law corresponding to fracture intersections considering the intersecting angle and surface roughness is proposed to reveal the flow nonlinearity. The above investigations give the theoretical support to understand and reveal the seepage mechanism of the rock rough fractures.

A Novel Two-fluid Model for the Identification of Possible Multiple Solutions in Slightly Inclined Pipelines

2013 ◽  
Vol 14 (1) ◽  
pp. 45-59
Author(s):  
Sara Corvaro ◽  
Maurizio Brocchini
Keyword(s):  
Multiple Solutions ◽  
Fluid Model ◽  
Calculated Data ◽  
Multiple Solution ◽  
Wall Friction ◽  
Interfacial Friction ◽  
Fluid Mixture ◽  
Two Fluid Model ◽  
Solution Region ◽  
Two Fluid

Abstract A novel mechanistic two-fluid model (CB model) similar, in spirit, to the Taitel and Dukler [1, 2] (TD model), for the identification of possible multiple solutions of a multi-phase (gas-liquid) stratified flow in slightly inclined pipelines, is proposed. While Blasius-type closures are used in the TD model to represent the wall friction coefficients, the newly-implemented CB model makes use of Colebrook-White-type closures. Moreover, different closures for the interfacial shear are also employed in the CB models. The predictive capabilities of the CB model have been tested by using several experimental data, finding a better agreement between measured and calculated data than that existing when the TD model is used. The region of multiple solutions is influenced by the closures in use, such a dependence is more evident when different interfacial friction factors are used. Moreover, for the CB model also the fluid mixture in use influences the boundaries of the non-uniqueness region, while by using the TD model the multiple-solution region is unchanged. The choice of closures for the interfacial friction strongly influences the holdups, the Andritsos and Hanratty [10] correlation significantly shifting the non-uniqueness region to small values of the inclination parameter. Such a behaviour is more and more significant with the increase of the superficial gas velocity, even if for values of the inclination parameter within the range of inclinations for stratified flows (i.e. less than about 30° from the horizontal [11]), multiple solutions were not found. Finally, for the fluid mixture and flow conditions analyzed, multivalued solutions are obtained only for upward flows. Moreover, the portion of multiple-solution region interested by co-current flow (that occurs for slightly upward and downward pipes) is rather small, so that the operational point unlikely falls within such a region in the case of the studied hydrocarbon gas-liquid mixture.

Unsteady Flows Inside the Piping Systems of Internal Combustion Engines: 1-D Simulation Modeling and Experimental Validation

2002 ◽  
Author(s):  
David Chalet ◽  
Pascal Chesse ◽  
Michel Violleau
Keyword(s):  
Friction Factor ◽  
Internal Combustion Engines ◽  
Pipe Wall ◽  
Stationary Flow ◽  
Internal Combustion ◽  
Wall Friction ◽  
Pressure Waves ◽  
Combustion Engines ◽  
Simulation Code ◽  
Sudden Contraction

The main difficulty for the one-dimensional simulation of pressure waves in the inlet and exhaust systems of Internal Combustion Engines consists in the modeling of singularities (area changes, bends, junctions, etc.). The models presented in the literature are based on the behavior of the singularity in steady flow. However the pressure losses due to the wave propagation are different from those obtained in stationary flow. The authors’ objective is to propose models with a better precision based on the non steady study of the singularities which can be found in Internal Combustion Engines. Specifically, this paper presents the investigation of the pipe wall friction factor and the sudden contraction area. The first step consists in studying the behavior of pressure waves through pipes with the Fluent CFD code. Next, a model parameterized with the Reynolds number is proposed for the pipe wall friction factor while another one with the Mach number is proposed for the sudden contraction area. These models are included in a 1-D simulation code. Finally, in order to evaluate the accuracy of the simulation program, the models are compared with experimental data. The results show a satisfactory agreement between model predictions and experimental measurements.

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