Abstract
The laminar flow through a leaky tube is investigated, and the momentum and conservation of energy equations are solved analytically. By using the Hagen-Poiseuille velocity profile and defining unknown functions for the axial and radial velocity components, the pressure and mass transfer equations are obtained, and their profiles are plotted according to different parameters. The results indicate that the axial velocity, the radial velocity, the mass transfer parameter, and the pressure in the tube decrease as the fluid moves along the tube.
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Abbreviations
- V :
-
velocity
- p :
-
pressure
- j :
-
mass transfer parameter
- U 0 :
-
average velocity in inlet
- R :
-
radius of the tube
- r :
-
radius
- k :
-
coefficient of permeability
- µ:
-
dynamic viscosity, 1.005 × 103
- L :
-
length of the tube
- β :
-
dimensionless parameter
- Q :
-
mass flow rate
- r:
-
radial
- z:
-
axial
- in:
-
inlet
- out:
-
outlet
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Gorji, M., Alipanah, M., Shateri, M. et al. Analytical solution for laminar flow through leaky tube. Appl. Math. Mech.-Engl. Ed. 32, 69–74 (2011). https://doi.org/10.1007/s10483-011-1394-6
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DOI: https://doi.org/10.1007/s10483-011-1394-6