scholarly journals Steady flow of high-paraffin bituminous binder in cylindrical tube in terms of Herschel – Bulkley fluid

Author(s):  
Oleg V. Matvienko ◽  
Alyona E. Litvinova

This paper deals with the flow of bitumen binder in a cylindrical tube described by the Hershel-Bulkley fluid. The dependence is suggested for the fluid flow rate and the pressure drop. Dependences are also determined for the radial velocity distribution and effective viscosity. It is found that at a low pressure drop, the non-Newtonian properties of the medium lead to a significant hydraulic resistance due to the internal structure. With an increase in the pressure drop, the hydraulic resistance of the flow decreases.

Author(s):  
O. V. Matvienko ◽  
V. P. Bazuev ◽  
N. R. Sabylina ◽  
A. E. Aseeva ◽  
A. A. Surtaeva

This paper studies the bitumen binder flow in terms of the Shvedov-Bingham model in a cylindrical tube. The dependence of the fluid flow rate on pressure drop is determined as well as the dependences between the radial velocity distribution and effective flow viscosity. Near the wall, the effective viscosity is low. However, in the vicinity of the rigid zone, a significant increase in the effective viscosity is observed. With increasing strain rates the effective viscosity decreases, which is explained by the destruction of the medium microstructure. With the pressure drop, the size of the hard zone decreases. With the increasing yield stress the fluid becomes less mobile, the rigid zone in the centre of the pipe increases in size. In this case, the velocity values decrease over the entire pipe section. Variation in the plastic viscosity does not affect the position of the rigid zone. It is shown that when the Bingam number Bn < 0.1, the non-Newtonian properties of the flow can be ignored. In this case, the Newtonian flow with viscosity mpl should be considered with an accuracy sufficient for engineering calculations.


Author(s):  
RW Dwyer

AbstractA theoretical model of the pressure drop across a fibrous cigarette filter is derived. The pressure drop is expressed as a function of the filter dimensions, the fiber tow characteristics, the filter weight, the fluid flow rate, and a filter fiber factor. The fiber factor is affected by the distribution of the fibers within the filter, the relative orientations of the fibers, and their cross-sectional shapes. The model allows one to accurately calculate the influences of these variables on the filter pressure drop. Additionally, it can be used to predict capability curves and select an optimum cellulose acetate tow for a given filter pressure drop.


Author(s):  
O. V. Matvienko ◽  
V. P. Bazuev ◽  
I. S. Cherkasov ◽  
A. E. Litvinova

The sand slurry flow in a cylindrical pipe is investigated using the Ostwald de Waele model. The dependence of the fluid flow rate on the pressure drop is determined, dependencies for the radial distribution of velocity and effective viscosity of flow are obtained. It is shown that the distribution of effective viscosity is characterized by a monotonic increase as it approaches the pipe walls. As the consistency increases, the mechanical energy dissipation of the flow also increases leading to an increase in hydraulic resistance. During the flow of dilatant media with the low nonlinearity index, the hydraulic resistance decreases with increasing pressure drop. When this index is 2, the hydraulic resistance does not depend on the pressure drop and is determined only by the liquid properties and the channel size. At highe values of the nonlinearity index, the increased pressure drop leads to an increase in hydraulic resistance. Keywords


Author(s):  
O. V. Matvienko ◽  
V. P. Bazuev ◽  
I. S. Cherkasov ◽  
A. E. Litvinova

The liquid asphalt binder in a cylindrical tube is described in terms of the Ostwald-de Waele model. The dependence of the liquid flow rate on the pressure drop; dependencies are obtained for radial distribution of the flow rate and viscosity. The medium structuring, which is most noticeable at low values of nonlinearity leads to the almost uniform profile of the core flow rate, which is typical to the plastic flow. The liquid pseudoplastic media with a law nonlinearity is characterized by the presence of a highly viscous core and a narrow region of the near-wall flow with low values of effective viscosity. With increasing in medium consistency, the average viscosity increases. This effect is most pronounced for flow motions at a small pressure drop. For low values of the pressure drop, the non-Newtonian properties of the medium lead to a significant hydraulic resistance due to the presence of the inner structure. With increasing pressure drop, hydraulic resistance decreases due to the medium destruction.


Energies ◽  
2018 ◽  
Vol 11 (11) ◽  
pp. 2937 ◽  
Author(s):  
Tarek Ganat ◽  
Meftah Hrairi

The accurate estimation of pressure drop during multiphase fluid flow in vertical pipes has been widely recognized as a critical problem in oil wells completion design. The flow of fluids through the vertical tubing strings causes great losses of energy through friction, where the value of this loss depends on fluid flow viscosity and the size of the conduit. A number of friction factor correlations, which have acceptably accurate results in large diameter pipes, are significantly in error when applied to smaller diameter pipes. Normally, the pressure loss occurs due to friction between the fluid flow and the pipe walls. The estimation of the pressure gradients during the multiphase flow of fluids is very complex due to the variation of many fluid parameters along the vertical pipe. Other complications relate to the numerous flow regimes and the variabilities of the fluid interfaces involved. Accordingly, knowledge about pressure drops and friction factors is required to determine the fluid flow rate of the oil wells. This paper describes the influences of the pressure drop on the measurement of the fluid flow by estimating the friction factor using different empirical friction correlations. Field experimental work was performed at the well site to predict the fluid flow rate of 48 electrical submersible pump (ESP) oil wells, using the newly developed mathematical model. Using Darcy and Colebrook friction factor correlations, the results show high average relative errors, exceeding ±18.0%, in predicted liquid flow rate (oil and water). In gas rate, more than 77% of the data exceeded ±10.0% relative error to the predicted gas rate. For the Blasius correlation, the results showed the predicted liquid flow rate was in agreement with measured values, where the average relative error was less than ±18.0%, and for the gas rate, 68% of the data showed more than ±10% relative error.


2019 ◽  
Vol 11 (1) ◽  
pp. 01025-1-01025-5 ◽  
Author(s):  
N. A. Borodulya ◽  
◽  
R. O. Rezaev ◽  
S. G. Chistyakov ◽  
E. I. Smirnova ◽  
...  

2018 ◽  
Vol 13 (3) ◽  
pp. 1-10 ◽  
Author(s):  
I.Sh. Nasibullayev ◽  
E.Sh Nasibullaeva ◽  
O.V. Darintsev

The flow of a liquid through a tube deformed by a piezoelectric cell under a harmonic law is studied in this paper. Linear deformations are compared for the Dirichlet and Neumann boundary conditions on the contact surface of the tube and piezoelectric element. The flow of fluid through a deformed channel for two flow regimes is investigated: in a tube with one closed end due to deformation of the tube; for a tube with two open ends due to deformation of the tube and the differential pressure applied to the channel. The flow rate of the liquid is calculated as a function of the frequency of the deformations, the pressure drop and the physical parameters of the liquid.


1956 ◽  
Vol 23 (2) ◽  
pp. 269-272
Author(s):  
L. F. Welanetz

Abstract An analysis is made of the suction holding power of a device in which a fluid flows radially outward from a central hole between two parallel circular plates. The holding power and the fluid flow rate are determined as functions of the plate separation. The effect of changing the proportions of the device is investigated. Experiments were made to check the analysis.


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