Document Type
Thesis
Date of Award
9-30-1985
Degree Name
Master of Science in Mechanical Engineering - (M.S.)
Department
Mechanical Engineering
First Advisor
Rong-Yaw Chen
Second Advisor
Hans E. Pawel
Third Advisor
Robert P. Kirchner
Abstract
A theoretical investigation was conducted to obtain the velocity, pressure and shear stress distributions for incompressible, steady, fully developed, laminar flow through an annulus, with a uniformly porous inside tube wall. Suction at the walls is a result of the pressure difference across the porous wall.
The continuity equation, momentum equation and the Darcy's law for suction velocity are analysed with an integral method. The resulting differential equations were solved using a numerical technique.
For the same radii ratio, dimensionless inlet pressures on both sides of the porous wall and dimensionless porous resistance, the dimensionless length required to reach zero suction velocity, decreases with increasing Re.
The results of the analysis show that the velocity, pressure and shear stress coefficient, decrease with increasing axial length and the suction length of the annulus increases with increasing initial pressure difference across the porous wall.
It was also found that the flows at higher Reynolds numbers are more sensitive to the effects of discharge from the walls of the annulus. For the same value of the porous resistance, the shear stresses showed a greater relative decrease, and a longer length is required for the annulus axial flow pressure to fall to the internal constant pressure.
Recommended Citation
Nicolaides, Stelios C., "Laminar flow through a porous annulus with surface suction" (1985). Theses. 3459.
https://digitalcommons.njit.edu/theses/3459
