Creeping Viscous Flow Through a Circular Tube of Nonuniform Cross Section

1972 ◽  
Vol 39 (3) ◽  
pp. 657-660 ◽  
Author(s):  
W. E. Langlois
Keyword(s):  
Velocity Profile ◽  
Viscous Flow ◽  
Cross Section ◽  
Circular Tube ◽  
Pressure Gradients ◽  
Local Velocity ◽  
Slowly Varying Function ◽  
Flow Through ◽  
Pipe Radius

Creeping viscous flow in a nonuniform pipe is analyzed by taking the local velocity profile and pressure gradients to be those of flow in a cone-shaped region. With this approach it is not necessary to assume that the pipe radius is a slowly varying function of distance along the axis.

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.

scholarly journals Thermohydraulic performance comparision of compound inserts for a turbulent flow through a circular tube

2017 ◽  
Vol 21 (3) ◽  
pp. 1309-1319
Author(s):  
Arvind Kapse ◽  
Prashant Dongarwar ◽  
Rupesh Gawande
Keyword(s):  
Cross Section ◽  
Circular Tube ◽  
Optimum Combination ◽  
Working Fluid ◽  
Pumping Power ◽  
Number Range ◽  
Tube Heat Exchanger ◽  
Friction Factors ◽  
Plain Tube ◽  
Flow Through

Heat transfer and pressure drop characteristics of three different passive inserts are experimentally investigated for individual and compound insertion. Insert cross-section is altered along the length of test section for compound insertion. Test runs were conducted in a concentric circular tube in tube heat exchanger in the Reynolds number range of 8000 to 32000 with water as a working fluid. Enhancements in Nusselt number and friction factors are reported to be in the range of 38-234% and 55-524%, respectively, over plain tube. The average performance ratios based on equal pumping power are also reported and found in the range of 0.63-1.53. Based on experimental results, optimum combination for compound insertion is proposed.

VI.—The Kinetic Energy of Viscous Flow through a Circular Tube

1914 ◽  
Vol 34 ◽  
pp. 60-63
Author(s):  
A. H. Gibson
Keyword(s):  
Kinetic Energy ◽  
Viscous Fluid ◽  
Viscous Flow ◽  
Circular Tube ◽  
Circular Pipe ◽  
Stream Line ◽  
Line Flow ◽  
Flow Through ◽  
Image Position

In the stream-line flow of a viscous fluid through a circular pipe of radius a, the velocity of flow at any radius x is given bywhere

Pressure Drop Due to the Entrance Region in Ducts of Arbitrary Cross Section

1964 ◽  
Vol 86 (3) ◽  
pp. 620-626 ◽  
Author(s):  
T. S. Lundgren ◽  
E. M. Sparrow ◽  
J. B. Starr
Keyword(s):  
Pressure Drop ◽  
Velocity Profile ◽  
Cross Section ◽  
Cross Sections ◽  
Circular Tube ◽  
Essential Feature ◽  
Arbitrary Cross Section ◽  
Entrance Region ◽  
Flow Development ◽  
Prior Analysis

A general analytical method has been devised for determining the pressure drop due to flow development in the entrance region of ducts of arbitrary cross section. The essential feature of the analysis is that the pressure drop can be determined without actually solving for the entrance-region velocity development. Instead, the calculation only requires a knowledge of the fully developed velocity profile. Application of the method is made to a variety of cross sections including the circular tube, elliptical ducts, rectangular ducts, isosceles triangular ducts, and annular ducts. Numerical results are presented and comparisons are made with available experiments and with prior analysis.

Sign in / Sign up

Export Citation Format

Share Document