NUMERICAL STUDY OF STEADY LAMINAR FLOW THROUGH TUBES WITH MULTIPLE CONSTRICTIONS USING CURVILINEAR CO-ORDINATES

The Navier-Stokes equation in a rotating frame of reference is solved numerically to obtain the flow field for a steady, fully developed laminar flow of a Newtonian fluid in a twisted tube having a square cross-section. The macroscopic force and energy balance equations and the viscous dissipation term are presented in terms of variables in a rotating reference frame. The computed values of friction factor are presented for dimensionless twist ratios, (i.e., length of tube over a rotation of π radians normalized with respect to half the width of tube) of 20, 10, 5 and 2.5 and for Reynolds numbers up to 2000. The qualitative nature of the axial velocity profile was observed to be unaffected by the swirling motion. The secondary motion was found to be most important near the wall.

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Converting steady laminar flow to oscillatory flow through a hydroelasticity approach at microscales

Lab on a Chip ◽

10.1039/c1lc20667b ◽

2012 ◽

Vol 12 (1) ◽

pp. 60-64 ◽

Cited By ~ 18

Author(s):

H. M. Xia ◽

Z. P. Wang ◽

W. Fan ◽

A. Wijaya ◽

W. Wang ◽

...

Keyword(s):

Laminar Flow ◽

Oscillatory Flow ◽

Flow Through ◽

Steady Laminar

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STEADY LAMINAR FLOW THROUGH TWISTED PIPES: FLUID FLOW AND HEAT TRANSFER IN RECTANGULAR TUBES

Chemical Engineering Communications ◽

10.1080/00986448308940283 ◽

1983 ◽

Vol 21 (1-3) ◽

pp. 151-173 ◽

Cited By ~ 4

Author(s):

K. NANDAKUMAR ◽

J.H. MASLIYAH

Keyword(s):

Heat Transfer ◽

Fluid Flow ◽

Laminar Flow ◽

Flow And Heat Transfer ◽

Flow Through ◽

Rectangular Tubes ◽

Steady Laminar

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Heavy Oil Laminar Flow in Corrugated Ducts: A Numerical Study Using the Galerkin-Based Integral Method

Energies ◽

10.3390/en13061363 ◽

2020 ◽

Vol 13 (6) ◽

pp. 1363

Author(s):

Valdecir Alves dos Santos Júnior ◽

Severino Rodrigues de Farias Neto ◽

Antonio Gilson Barbosa de Lima ◽

Igor Fernandes Gomes ◽

Israel Buriti Galvão ◽

...

Keyword(s):

Fluid Dynamics ◽

Reynolds Number ◽

Laminar Flow ◽

Heavy Oil ◽

Integral Method ◽

Numerical Study ◽

Temperature Dependent ◽

Flow Through ◽

Fanning Friction Factor ◽

Cylindrical Duct

Fluid flow in pipes plays an important role in different areas of academia and industry. Due to the importance of this kind of flow, several studies have involved circular cylindrical pipes. This paper aims to study fully developed internal laminar flow through a corrugated cylindrical duct, using the Galerkin-based integral method. As an application, we present a study using heavy oil with a relative density of 0.9648 (14.6 °API) and temperature-dependent viscosities ranging from 1715 to 13000 cP. Results for different fluid dynamics parameters, such as the Fanning friction factor, Reynolds number, shear stress, and pressure gradient, are presented and analyzed based on the corrugation number established for each section and aspect ratio of the pipe.

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Steady laminar flow of blood through successive restrictions in circular conduits of small diameter

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1243/09544062jmes829 ◽

2008 ◽

Vol 222 (8) ◽

pp. 1557-1573 ◽

Cited By ~ 2

Author(s):

D Nag ◽

A Datta

Keyword(s):

Blood Flow ◽

Pressure Drop ◽

Laminar Flow ◽

Small Diameter ◽

Rigid Wall ◽

Pressure Loss Coefficient ◽

Axial Velocity Distribution ◽

Recirculation Zones ◽

Flow Through ◽

Steady Laminar

In this paper, numerical results on steady laminar flow of blood through an artery having two successive identical axisymmetric restrictions are presented, at varying degrees of restrictions. Physically, such a flow has features in common with steady blood flow through an artery with multiple stenoses. Additionally, results are presented for the blood flow through an artery in the presence of a single restriction, for comparison. The artery has been modelled as a tube with a rigid wall. The rheological characteristics of blood have been assumed both as Newtonian and non-Newtonian. Three different non-Newtonian models of blood — power law, Quemada, and Carreau—Yasuda models — have been considered in the analysis. The haemodynamic effects of the restrictions on the axial velocity distribution, recirculation zones formed downstream to the restrictions, the wall shear stress, and the pressure drop in the artery have been analysed. The irreversible pressure loss coefficient is calculated from the pressure drop and its variation with the degree of stenosis is obtained.

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