scholarly journals Unsteady Incompressible Stokes Flow through Porous Pipe of Uniform Circular Cross Section with Periodic Suction and Injection

2017 ◽  
Vol 1 (1) ◽  
pp. 13
Author(s):  
Kaleemullah Bhatti ◽  
Abdul Majeed Siddiqui ◽  
Zarqa Bano
Keyword(s):  
Radial Velocity ◽  
Cross Section ◽  
Circular Cross Section ◽  
Transformation Method ◽  
Third Order ◽  
Order Ordinary Differential Equation ◽  
Porous Pipe ◽  
Flow Through ◽  
Suction Or Injection ◽  
Incompressible Stokes Flow

This work is concerned with the flow of a Newtonian fluid through a pipe of constant circular cross section which is uniformly porous. The governing unsteady equations are solved analytically after converting them to a third order ordinary differential equation using similarity transformation method. Expressions for axial and radial velocity components and pressure distribution are obtained. The characteristics of complex axial velocity and complex radial velocity for different values of parameters are analysed. The effects of small suction and small injection are delineated through graphs. Results reveal that suction or injection has significant influence on the flow.

Hot-Wire Measurements of Turbulence Correlations in a Triangular Duct

1962 ◽  
Vol 29 (4) ◽  
pp. 609-614 ◽  
Author(s):  
C. J. Cremers ◽  
E. R. G. Eckert
Keyword(s):  
Heat Transfer ◽  
Laminar Flow ◽  
Cross Section ◽  
Circular Tube ◽  
Turbulent Transport ◽  
Circular Cross Section ◽  
Hot Wire ◽  
Round Tube ◽  
Flow Through ◽  
Hot Wires

Previous studies by flow visualization have indicated that the flow through a duct of triangular cross section is in its characteristics quite different from flow through a duct with circular cross section. They revealed among others that purely laminar flow exists in the corners of the duct even though the bulk of the fluid moves in turbulent motion. Heat-transfer measurements in such a duct appear to indicate that the turbulent transport in the direction of the height of the duct is considerably smaller than expected from circular tube measurements. The present paper reports the measurements of turbulent correlations for turbulent flow through such a duct. These measurements have been made with hot wires of very small dimensions. They again reveal the existence of a laminar corner region. In the bulk of the fluid, the differences of the correlations to those in a round tube turned out to be smaller than originally suspected.

Friction Factor Determination for Flow Through Finite Wire-Mesh Woven-Screen Matrices

1997 ◽  
Vol 119 (4) ◽  
pp. 847-851 ◽  
Author(s):  
J. R. Sodre´ ◽  
J. A. R. Parise
Keyword(s):  
Cross Section ◽  
Circular Cross Section ◽  
Mesh Size ◽  
Packed Bed ◽  
Reynolds Numbers ◽  
Wire Mesh ◽  
Hydraulic Radius ◽  
Fully Developed Flow ◽  
Flow Through ◽  
Screen Mesh

Experiments were carried out to determine the pressure drop through an annular conduit filled with a plain square wire-mesh woven-screen matrix. The tests involved turbulent fully developed flow of air at steady-state conditions, with the modified Reynolds number (M(1−ε)/Re), based on the hydraulic radius of the packed bed, ranging from 5 × 10−4 to 5 × 10−3. The test section was built according to the geometry of a Stirling engine, simulating an annular regenerator with a radius ratio of 1.369 and a screen of mesh size 10. A corrected Ergun equation was used to correlate the experimental data, considering the wall effects. Comparisons with results obtained by other authors extended the validation of the correlation obtained to a wider range of modified Reynolds numbers (1 × 10−4 ≤ M(1 − ε)/Re ≤ 1) and to different screen mesh sizes. The correlation has been found to work for annular and circular cross-section beds.

Flow through a rotating helical pipe with circular cross-section

2000 ◽  
Vol 21 (2) ◽  
pp. 213-220 ◽  
Author(s):  
Kyoji Yamamoto ◽  
Md.Mahmud Alam ◽  
Junich Yasuhara ◽  
Agus Aribowo
Keyword(s):  
Cross Section ◽  
Circular Cross Section ◽  
Helical Pipe ◽  
Flow Through

scholarly journals Unsteady Stokes Flow through Porous Channel with Periodic Suction and Injection with Slip Conditions

2018 ◽  
Vol 11 (4) ◽  
pp. 937-945 ◽  
Author(s):  
Kaleemullah Bhatti ◽  
Zarqa Bano ◽  
Abdul Majeed Siddiqui
Keyword(s):  
Radial Velocity ◽  
Stokes Flow ◽  
Slip Parameter ◽  
Governing Equations ◽  
Slip Conditions ◽  
Unsteady Stokes Flow ◽  
Flow Through ◽  
Suction Or Injection ◽  
Similarity Method ◽  
Special Case

This work is concerned with the influence of slip conditions on unsteady stokes flow between parallel porous plates with periodic suction and injection. The obtained unsteady governing equations are solved analytically by similarity method. The characteristics of complex axial velocity and complex radial velocity for different values of parameters are analyzed. Graphical results for slip parameter reveal that it has significant influence on the axial and radial velocity profiles. The effects of suction or injection are also observed. The problem of unsteady stokes flow through porous plates with no slip is recovered as a special case of our problem.

On the Viscous Flow Through a Long Pipe With Non-Constant Pressure Boundary Condition

2018 ◽  
Vol 73 (7) ◽  
pp. 639-644 ◽  
Author(s):  
Eduard Marušić-Paloka ◽  
Igor Pažanin
Keyword(s):  
Boundary Condition ◽  
Asymptotic Analysis ◽  
Small Parameter ◽  
Cross Section ◽  
Constant Pressure ◽  
Viscous Incompressible Fluid ◽  
Fluid Velocity ◽  
Circular Cross Section ◽  
Pressure Boundary Condition ◽  
Flow Through

AbstractWe investigate the flow of a viscous incompressible fluid through a straight long pipe with a circular cross section. The flow is driven by the prescribed pressures at the pipe’s ends, where pressure p0 on the pipe’s entry is assumed to be non-constant. Using asymptotic analysis with respect to the small parameter (being the ratio between the pipe’s radius and its length), we replace the non-constant pressure boundary condition with the effective one governing the macroscopic flow. We also derive the optimal boundary pressure p0 such that the fluid velocity through a pipe is maximal.

scholarly journals Stable solution zone for fluid flow through curved pipe with circular cross-section

2011 ◽  
Vol 7 (1) ◽  
pp. 19-26 ◽  
Author(s):  
M. A. Masud ◽  
Md. Rabiul Islam ◽  
Md. Rasel Sheikh ◽  
Mahmud Md. Alam
Keyword(s):  
Cross Section ◽  
Numerical Study ◽  
Circular Cross Section ◽  
Stable Solution ◽  
Main Tool ◽  
Collocation Methods ◽  
Dean Number ◽  
Curved Pipe ◽  
Wide Range ◽  
Flow Through

Numerical study is performed to examine numerically the stable solution for the incompressible viscous steady flow through a curved pipe with circular cross-section. Also the combined effects of high Dean Number Dn and curvature δ on the flow are investigated. Spectral method is applied as a main tool for the numerical technique; where, Fourier series, Chebyshev polynomials, Collocation methods, and Iteration method are used as secondary tools. The flow patterns have been shown graphically for large Dean Numbers and a wide range of curvature, 0.01≤δ≤0.9.Two vortex solutions have been found for secondary flow. Axial velocity has been found to increase with the increase of Dean number and decrease with the increase of curvature. For high Dean number and low curvature almost all the fluid particles leave the inner half of the cross-section. The stable solution zone increases with the increase of curvature up to a certain limit, then decrease.DOI: 10.3329/jname.v7i1.3630

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