Laminar Flow in a Porous Tube With Suction

1975 ◽  
Vol 97 (1) ◽  
pp. 66-71 ◽  
Author(s):  
J. P. Quaile ◽  
E. K. Levy

A theoretical and experimental investigation of the flow in a porous tube with wall suction is described. The flow is steady, laminar, and incompressible with the fluid entering at one end of the circular tube and flowing out through the porous circumferential surface. The study is limited to an inlet velocity profile parabolic in shape and to the case of uniform wall suction.

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Vishal Anand ◽  
Krishna Nelanti

Entropy generation and pumping power to heat transfer ratio (PPR) of a laminar flow, for a circular tube immersed in an isothermal fluid, are studied analytically in this paper. Two different fluids, namely, water and ethylene glycol, are chosen to study the influence of fluid properties on entropy generation and PPR. The expressions for dimensionless entropy generation, Bejan number and PPR are derived in a detailed way and their variations with Reynolds number, external Biot number, and the dimensionless temperature difference are illustrated. The results of the analysis are compared with those for a laminar flow in a circular tube with uniform wall temperature boundary condition. Finally, a criterion is established to determine which type of thermal boundary conditions is more suitable for a particular fluid, with respect to its influence on entropy generation.


2013 ◽  
Vol 561 ◽  
pp. 460-465
Author(s):  
Dong Hui Zhang ◽  
Jiao Gao

The objective of this paper is to study the characteristic of a circular tube with a built-in arc belt on fluid flow and heat transfer in uniform wall temperature flows. Numerical simulations for hydrodynamically laminar flow was direct ran at Re between 600 and 1800. Preliminary results on velocity and temperature statistics for uniform wall temperature show that, arc belt can swirl the pipe fluid, so that the fluid at the center of the tube and the fluid of the boundary layer of the wall can mix fully, and plays the role of enhanced heat transfer, but also significantly increases the resistance of the fluid and makes the resistance coefficient of the enhanced tube greater than smooth tube. The combination property PEC is all above 1.5.


2015 ◽  
Vol 10 (2) ◽  
pp. 136-142 ◽  
Author(s):  
M. Arulprakasajothi ◽  
K. Elangovan ◽  
K. Hema Chandra Reddy ◽  
S. Suresh

1962 ◽  
Vol 29 (1) ◽  
pp. 201-204 ◽  
Author(s):  
F. M. White

A solution is given in power series form to the problem of fully developed laminar flow in a uniformly porous tube. Although the general analysis is similar to a previous solution for a porous channel, the present tube results exhibit marked instabilities for wall suction, in contrast to the well-behaved channel results. A physical reason for the instabilities has been given in a recent paper by Weissberg, whose analysis of the inlet region indicates a breakdown in the assumption of fully developed flow.


1976 ◽  
Vol 98 (3) ◽  
pp. 469-474 ◽  
Author(s):  
B. K. Gupta ◽  
E. K. Levy

Entrance region solutions of the two-dimensional boundary layer equations are presented in terms of a convergent power series for steady, laminar, incompressible channel flow with uniform mass suction at the walls. The entrance solutions obtained using both uniform and parabolic velocity profiles at the inlet to the channel are compared to the solutions obtained from the similarity equations for a wide range of non-dimensional suction velocities (0 ≤ Rew ≤ 30). With a parabolic inlet velocity profile, the flow does not become fully developed for Rew > 7, except right at the downstream end of the channel (x = L). The similarity solutions are in good agreement with the entrance solutions over a reasonable length of the channel only for very small values of Rew. With a uniform inlet velocity profile, the flow does not become fully developed in the range 7 < Rew < 13, except right at x = L. In this case, the similarity equations should not be used to predict overall axial pressure variations except for very large values of Rew.


Author(s):  
Yaoxin Wang ◽  
Tao Zhou ◽  
Lanyu Zhou ◽  
Xiaolu Fang

Firstly, using Fluent laminar model simulate volumetric flow rate and pressure differential. second, using Hagen Poiseuille formula calculate coefficient of dynamic viscosity. Then we can calculate laminar flow numerical simulation error of fluent by contrasting the difference of coefficient of dynamic viscosity between laminar simulative results of Fluent and calculated results of Hagen Poiseuille formula. Geometric model is Circular pipe. Fluid medium is water. The study found three conclusions. Fluent model relies on simplified mathematical formula, which can not accurately describe real flow situation, so Fluent simulation results is not accurate; When inlet velocity is at the range of 0.06m/s to 0.15m/s, Given coefficient of dynamic viscosity by Fluent model is always smaller than calculated coefficient of dynamic viscosity by Hagen Poiseuille formula; Laminar flow numerical simulation error of Fluent in circular tube gradually increase along with the increase of inlet velocity at the range of 0.06m/s to 0.15m/s.


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