SIMULATION OF AN UNSTEADY INCOMPRESSIBLE FLUID FLOW THROUGH A PERFORATED PIPELINE

2021 ◽  
pp. 60-69
Author(s):  
Kh.M. Gamzaev ◽  
Keyword(s):  
Inverse Problem ◽  
Fluid Flow ◽  
Flow Rate ◽  
Nonlinear Partial Differential Equations ◽  
Discrete Analog ◽  
Benchmark Problems ◽  
Difference Problem ◽  
Nonlinear Parabolic ◽  
The Difference ◽  
Special Approach

A mathematical model of the unsteady flow of an incompressible viscous fluid through a perforated pipeline is proposed, which is described by a system of nonlinear partial differential equations. In the framework of the model, the purpose is to determine the pressure and the flow rate of the fluid at the pipeline inlet, providing the flow rate and the pressure required at the pipeline outlet. By combining the system of the equations, the original problem is reduced to a boundary-value inverse problem for a nonlinear parabolic equation with respect to fluid flow rate. To solve the boundary inverse problem, the method of nonlocal perturbation of boundary conditions is proposed. A discrete analog of the inverse problem is obtained using the finitedifference approximation, and a special approach is suggested for solving the resulting system of difference equations. As a result, the difference problem for each discrete value of the time variable splits into two second-order difference problems and a linear equation with respect to an approximate value of the desired flow rate at the pipeline inlet. The absolutely stable Thomas method is used to numerically solve the obtained difference problems. After determining the flow rate distribution along the entire pipeline, the pressure at the pipeline inlet is also calculated using an explicit formula. Based on the proposed computational algorithm, the numerical experiments are performed for benchmark problems.

Flow Maldistribution in Multichanneled Microdevices With In-Line Manifolds

2009 ◽  
Author(s):  
J. Soman ◽  
B. Mathew ◽  
T. J. John ◽  
H. Hegab
Keyword(s):  
Fluid Flow ◽  
Microfluidic Device ◽  
Flow Rate ◽  
Flow Characteristics ◽  
Flow Distribution ◽  
Simulation Software ◽  
Channel Width ◽  
Computational Time ◽  
Specific Flow ◽  
The Difference

This paper deals with the analyses of fluid flow distribution in a microfluidic device with in-line manifolds. The analysis was performed using commercially available microfluidic simulation software called CoventorWare™. The number of channels in the microfluidic device considered for this study was kept at ten due to limitations on the number of nodes and computational time. Channels with only square profile were analyzed for flow rates varying between 1 to 60 ml/min. The length of the channels was maintained at 1.5 cm for all simulations. The fluid flow distribution characteristics for different channel widths/depths (200, 100, and 75 μm) were investigated. It was observed that the flow rate decreased from the central channels to the outer channels. The flow per channel was symmetric about the geometric centre of the microdevice. The uniformity in flow was accessed using the root mean square value of flow per channel and it decreased with decrease in channel width/depth for a specific flow rate. The difference in the flow rate through the channels increased with increase in total flow rate. Similarly, the spacing between the channels was varied (300, 200, and 100 μm) for a microdevice with channel width/depth of 100 μm and its corresponding flow characteristics were studied for flow rate ranging between 1 ml/min and 60 ml/min. Finally, the length of each manifold was varied between 2500 μm and 1000 μm for understanding the effect of manifold length on flow distribution. The standard deviation of flow per channel did not show much variation with changes in spacing and manifold length. In addition each design of the manifolds was analyzed on the basis of pressure and flow rate as well as velocity profile in each of the channels.

Application of Cross-correlation Analysis Method for Measurement of the Fluid Flow Rate Based on X-ray Radiation

2019 ◽  
Vol 11 (1) ◽  
pp. 01025-1-01025-5 ◽  
Author(s):  
N. A. Borodulya ◽  
◽  
R. O. Rezaev ◽  
S. G. Chistyakov ◽  
E. I. Smirnova ◽  
...  
Keyword(s):  
Fluid Flow ◽  
Correlation Analysis ◽  
Flow Rate ◽  
Cross Correlation ◽  
Fluid Flow Rate ◽  
Analysis Method ◽  
X Ray ◽  
Cross Correlation Analysis ◽  
Correlation Analysis Method

Study of fluid flow through a channel deformed by piezoelement

2018 ◽  
Vol 13 (3) ◽  
pp. 1-10 ◽  
Author(s):  
I.Sh. Nasibullayev ◽  
E.Sh Nasibullaeva ◽  
O.V. Darintsev
Keyword(s):  
Fluid Flow ◽  
Pressure Drop ◽  
Boundary Conditions ◽  
Flow Rate ◽  
Contact Surface ◽  
Piezoelectric Element ◽  
Neumann Boundary ◽  
Differential Pressure ◽  
Physical Parameters ◽  
Flow Through

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.

Flow Features Analysis of Throttle Notches of Proportional Direct Valve

2011 ◽  
Vol 189-193 ◽  
pp. 2285-2288
Author(s):  
Wen Hua Jia ◽  
Chen Bo Yin ◽  
Guo Jin Jiang
Keyword(s):  
Fluid Flow ◽  
Dynamic Behavior ◽  
Flow Rate ◽  
Discharge Coefficient ◽  
3D Models ◽  
Operating Conditions ◽  
Flow Models ◽  
Flow Features ◽  
Rate Discharge ◽  
Spool Valve

Flow features, specially, flow rate, discharge coefficient and efflux angle under different operating conditions are numerically simulated, and the effects of shapes and the number of notches on them are analyzed. To simulate flow features, 3D models are developed as commercially available fluid flow models. Most construction machineries in different conditions require different actions. Thus, in order to be capable of different actions and exhibit good dynamic behavior, flow features should be achieved in designing an optimized proportional directional spool valve.

Measurement of Osteocyte Deformation Resulting From Fluid Flow Induced Shear Stress

1999 ◽  
Author(s):  
Daniel P. Nicolella ◽  
Eugene Sprague ◽  
Lynda Bonewald
Keyword(s):  
Shear Stress ◽  
Fluid Flow ◽  
Flow Rate ◽  
Bone Cells ◽  
Individual Cell ◽  
Analysis Techniques ◽  
Sheer Stress ◽  
Increased Sensitivity ◽  
Cell Strains ◽  
Substrate Strain

Abstract It has been shown that bone cells are more responsive to fluid flow induced shear stress as compared to applied substrate strain (Owan, et al., 1997, Smalt, et al., 1997). Using novel micromechanical analysis techniques, we have measured individual cell strains resulting from 10 minutes of continuous fluid flow at a flow rate that produces a shear stress of 15 dyne/cm2. Individual cell strains varied widely from less than 1.0% to over 25% strain within the same group of cells. The increased sensitivity of cells to fluid flow induced shear stress may be attributed to much greater cellular deformations resulting from fluid flow induced sheer stress.

A Suction Device Using Air Under Pressure

1956 ◽  
Vol 23 (2) ◽  
pp. 269-272
Author(s):  
L. F. Welanetz
Keyword(s):  
Fluid Flow ◽  
Flow Rate ◽  
Fluid Flows ◽  
Central Hole ◽  
Fluid Flow Rate ◽  
Circular Plates ◽  
Suction Device ◽  
Holding Power ◽  
Plate Separation

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.

scholarly journals Taking into Account Outer Hydrodynamic Pressure in Differential Equation of Variable Flow Rate Fluid Flow for Distributive Pressure Pipelines

2012 ◽  
Vol 7 (1) ◽  
pp. 13-22
Author(s):  
Volodymyr V. Cherniuk
Keyword(s):  
Differential Equation ◽  
Fluid Flow ◽  
Flow Rate ◽  
Hydrodynamic Pressure ◽  
Variable Flow

Abstract In the differential equation of variable flow rate fluid flow a component which takes into account outer hydrodynamic pressure is introduced. The variables of the equation are expressed in terms of full operating head and in terms of independent distance along the axis of the stream, i. e. this equation is reduced to a singlevariable equation.

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