Axially Symmetric Laminar Free Mixing With Large Swirl

Abstract

Viscous laminar axially symmetric free mixing with large swirl is investigated by a boundary-layer type of analysis with integral methods. Large swirl generates axial pressure gradients as well as large radial pressure gradients, and therefore alters the streamwise flow. Examples calculated for both incompressible and compressible flow show that the wake may be significantly lengthened by large swirl. However, this effect is shown to be diminished in the compressible case where higher free-stream Mach numbers lead to decreased densities, and to decreased centrifugal effects, decreased radial pressure gradients, and decreased axial pressure gradients. In the limiting special case of small or moderate swirl the results agree with those previously obtained by Steiger and Bloom [1] in analysis wherein the induced pressure gradients were neglected a priori.

Matching Criterion of Submersible Mixer and Pool

“…The experimental results show that the diffusion angle of the cylindrical stream spurted by cylindrical nozzle jet is = 14.85 ∘ [1][2][3][4][5][6][7][8][9][10][11][12]. In the main section, relationship between the axial velocity V along the jet axis and radial diffusion radius is as follows:…”

“…where 0 is the radius of cylindrical nozzle and V 0 is the initial velocity of fluid jetted from cylindrical nozzle [1][2][3][4][5][6][7][8][9][10][11][12]. According to formulas (1) and (2), in the main section, axial velocity decreases with the increase in the distance away from the outlet of nozzle, that is, a relationship as follows:…”

“…Loitsyanskii, Gortler, Chigier, and Beer's studies show that axial velocity attenuates at the speed of −1 and the rate of decay increases with the increasing of curl [1][2][3][4][5][6][7][8][9][10][11][12].…”

“…Formula (5) shows that the expansion angle of swirling jet is greater than that of irrotational round jet, Δ = 14 = 14( / ), which is generated due to curl [1][2][3][4][5][6][7][8][9][10][11][12].…”

“…Drake and Hubbard, and Groe and Ranz, respectively, proposed an estimation formula in 1964 [1][2][3][4][5][6][7][8][9][10][11][12] …”