A Transient Flow of a Non-Newtonian Fluid Modelled by a Mixed Time-Space Derivative: An Improved Integral-Balance Approach

2018 ◽  
pp. 153-174 ◽  
Author(s):  
Jordan Hristov
Keyword(s):  
Newtonian Fluid ◽  
Transient Flow ◽  
Balance Approach ◽  
Time Space

Numerical Simulation in Transient Flow of Non-Newtonian Fluid in Nozzles

2018 ◽  
Vol 10 (1) ◽  
Author(s):  
Azmahani Sadikin ◽  
◽  
Mohd Khairul Anam Mohd Bahrin ◽  
Azzura Ismail ◽  
Al Emran Ismail ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Newtonian Fluid ◽  
Transient Flow

The ADM solution of MHD non-Newtonian fluid with transient flow and heat transfer

2016 ◽  
Author(s):  
Qayyum Shah ◽  
Mustafa Bin Mamat ◽  
Taza Gul ◽  
Novan Tofany
Keyword(s):  
Heat Transfer ◽  
Newtonian Fluid ◽  
Transient Flow ◽  
Flow And Heat Transfer

scholarly journals Transient Flow of Non-Newtonian Power-Law Fluids in Porous Media

1979 ◽  
Vol 19 (03) ◽  
pp. 164-174 ◽  
Author(s):  
Chi U. Ikoku ◽  
Henry J. Ramey
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Newtonian Fluid ◽  
Oil Recovery ◽  
Transient Flow ◽  
Polymer Solutions ◽  
Newtonian Fluids ◽  
Petroleum Engineering ◽  
Published Data ◽  
Well Test

Abstract The transient flow behavior of non-Newtonian fluids in petroleum reservoirs is studied. A new partial differential equation is derived. The diffusivity equation is a special case of the new equation. The new equation describes the flow of a slightly compressible, non-Newtonian, power-law fluid in a homogeneous porous medium. This equation should govern the flow of most non-Newtonian oil-displacement agents used in secondary and tertiary oil-recovery projects, such as polymer solutions, micellar projects, such as polymer solutions, micellar solutions, and surfactant solutions. Analytical solutions of the new partial differential equation are obtained that introduce new methods of well-test analysis for non-Newtonian fluids. An example is presented for using the new techniques to analyze injection well-test data in a polymer injection project. project. Graphs of the dimensionless pressure function also are presented. These may be used to investigate the error when using Newtonian fluid-flow equations to model the flow of non-Newtonian fluids in porous media. Introduction Non-Newtonian fluids, especially polymer solutions, microemulsions, and macroemulsions, often are injected into the reservoir in various enhanced oil-recovery processes. In addition, foams sometimes are circulated during drilling. Thermal recovery of oil by steam and air injection may lead to the flow of natural emulsions and foams through porous media. Some enhanced oil-recovery projects involving the injection of non-Newtonian fluids have been successful, but most of these projects either failed or performed below expectation. These results suggest the need for a thorough study of the stability of non-Newtonian fluids at reservoir conditions, and also a new look at the flow of non-Newtonian fluids in porous media. porous media. Many studies of the rheology of non-Newtonian fluids in porous media exist in the chemical engineering, rheology, and petroleum engineering literature. In 1969, Savins presented an important survey on the flow of non-Newtonian fluids through porous media. In some cases, he interpreted porous media. In some cases, he interpreted published data further and compared results of published data further and compared results of different investigators. van Poollen and Jargon presented a numerical study of the flow of presented a numerical study of the flow of non-Newtonian fluids in homogeneous porous media using finite-difference techniques. They considered steady-state and unsteady-state flows and used the Newtonian fluid-flow equation. They considered non-Newtonian behavior by using a viscosity that varied with position. No general method was developed for analyzing flow data. Bondor et al. presented a numerical simulation of polymer presented a numerical simulation of polymer flooding. Much useful information on polymer flow was presented, but transient flow was not considered.At present, there is no standard method in the petroleum engineering literature for analyzing petroleum engineering literature for analyzing welltest data obtained during injection of non-Newtonian fluids into petroleum reservoirs. However, injection of several non-Newtonian oil-displacement agents is an important oilfield operation. Interpretation of well-test data for these operations should also be important. Obviously, procedures developed for Newtonian fluid flow are not appropriate. SPEJ P. 164

scholarly journals Comparing Thixotropic and Herschel-Bulkley Models for Avalanches and Subaqueous Debris Flows

2017 ◽  
Author(s):  
Chan-Hoo Jeon ◽  
Ben R. Hodges
Keyword(s):  
Experimental Data ◽  
Newtonian Fluid ◽  
Debris Flows ◽  
Stokes Equations ◽  
Fluid Model ◽  
Newtonian Fluids ◽  
Time Dependent ◽  
High Yield ◽  
Time Space ◽  
Independent Model

Abstract. Debris flows such as avalanches and landslides are heterogeneous mixtures of solids and liquids but are often simulated as homogeneous non-Newtonian fluids using a Herschel-Bulkley model. By representing the heterogeneous debris as a homogeneous non-Newtonian fluid, it is possible to use standard numerical approaches for the Navier-Stokes equations where viscosity is allowed to vary in time and space (e.g. eddy-viscosity turbulence models). Common non-Newtonian models are time-independent so that the relationship between the time-space-varying effective viscosity and flow stress is unchanging. However, the complex behaviors of debris flows at flow initiation (jamming) and cessation (restructuralization) imply that the viscosity-stress relationships should have time-dependent behaviors, which is a feature of thixotropic non-Newtonian fluids. In this paper, both Herschel-Bulkley and thixotropic non-Newtonian fluid models are evaluated for simulating avalanches along a slope and subaqueous debris flows. A numerical solver using a multi-material level set method is applied to track multiple interfaces simultaneously. The numerical results are validated with analytical solutions and available experimental data using parameters selected based on the experimental setup and without post-hoc calibration. The thixotropic (time-dependent) fluid model shows reasonable agreement with all the experimental data. For most of the experimental conditions, the Herschel-Bulkley (time-independent) model results were similar to the thixotropic model, a critical exception being conditions with a high yield stress. Where the flow initiation is strongly dominated by the structural jamming and the initial yield behavior the time-independent model performed poorly.

scholarly journals Homotopy Simulation of Non-Newtonian Spriggs Fluid Flow Over a Flat Plate with Oscillating Motion

2019 ◽  
Vol 24 (2) ◽  
pp. 359-385 ◽  
Author(s):  
A.K. Ray ◽  
B. Vasu ◽  
R.S.R. Gorla
Keyword(s):  
Newtonian Fluid ◽  
Control Parameter ◽  
Transient Flow ◽  
Power Index ◽  
Shear Thickening ◽  
Partial Differential ◽  
Homotopy Analysis ◽  
Convergence Control ◽  
Oscillating Motion ◽  
Convergence Control Parameter

Abstract An incompressible flow of a non-Newtonian Spriggs fluid over an unsteady oscillating plate is investigated using the Homotopy Analysis Method (HAM). An analytic solution of sine and cosine oscillations of the plate has been obtained. The similarity transformation is introduced to reduce the governing partial differential equations into a single non-linear dimensionless partial differential equation. The effects of the power index of Spriggs fluid and convergence control parameter of HAM for the flow are studied extensively. The range of the convergence control parameter for convergence of series solution for different values of the power index of Spriggs fluid is obtained. The solution for a Spriggs fluid is noticeably different from the solution obtained for a Newtonian fluid. The influences of the shear thinning and shear thickening fluid on the velocity profile are shown graphically. The transient flow effect is higher for non-Newtonian Spriggs fluid than that of a Newtonian fluid. It is also observed that the interval to reach the steady state for the cosine case is less than the sine case. The applications of Stokes’ second problem have been widely found in the variety of fields of biomedical, medical, chemical, micro and nanotechnology.

scholarly journals Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip Boundary

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Benchawan Wiwatanapataphee ◽  
Yong Hong Wu ◽  
Suharsono Suharsono
Keyword(s):  
Pressure Gradient ◽  
Newtonian Fluid ◽  
Flow Rate ◽  
Transient Flow ◽  
Flow Behavior ◽  
Separation Of Variables ◽  
Fourier Series Expansion ◽  
Slip Parameter ◽  
Boundary Slip ◽  
Rectangular Microchannel

We study the transient flow of a Newtonian fluid in rectangular microchannels taking into account boundary slip. An exact solution is derived by using the separation of variables in space and Fourier series expansion in time. It is found that, for different forms of driving pressure field, the effect of boundary slip on the flow behavior is qualitatively different. If the pressure gradient is constant, the flow rate is almost linearly proportional to the slip parameterlwhenlis large; if the pressure gradient is in a waveform, as the slip parameterlincreases, the amplitude of the flow rate increases until approaching a constant value whenlbecomes sufficiently large.

Development of Two-Fluid Flow Model for Pipeline Decompression

2002 ◽  
Author(s):  
X. L. Zhou ◽  
R. G. Moore ◽  
G. G. King
Keyword(s):  
Fluid Flow ◽  
Natural Gas ◽  
Flow Model ◽  
Transient Flow ◽  
Mechanical Performance ◽  
Second Law Of Thermodynamics ◽  
Two Phase ◽  
Natural Gas Pipelines ◽  
Time Space ◽  
Two Fluid

Natural gas pipelines have an excellent safety record but on rare occasions they rupture and decompress. When this happens their contents cool rapidly and form two phases. The decompression behaviors of multiphase fluid released from pipeline are not well understood. Pipeline decompression modeling is useful in characterizing the rapid transient flow that occurs when a pipeline ruptures. Numerical simulation can provide detailed data for analyzing the consequences of pipeline bursts and the mechanical performance of pipelines as they decompress. Decompression behavior of fluids is complicated by the formation of two-phase flow due to gas cooling or liquid flashing effects. Based on the time-space-ensemble composite averaging procedure, a two-fluid flow model is derived for simulating high-pressure natural gas pipeline decompression. The composite averaging operator is supported and demonstrated by simple experimental data. A set of constitutive equations is formulated for the closure of the system of equations. The conservation equations along with closure equations are examined for compliance with the second law of thermodynamics. Characteristics analysis is performed to ensure that the set of equations is well-posed mathematically.

Time-Space Synesthesia: An Event-Related Brain Potential (ERP) Study

2007 ◽  
Author(s):  
Ursina Teuscher ◽  
David Brang ◽  
Lee Edwards ◽  
Marguerite McQuire ◽  
Vilayanur S. Ramachandran ◽  
...  
Keyword(s):  
Brain Potential ◽  
Time Space
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