Universal Expression of Tangential Velocity Distribution near Side Wall of a Fully Turbulent Agitated Vessel without Baffles

2007 ◽  
Vol 40 (8) ◽  
pp. 666-672 ◽  
Author(s):  
Setsuro Hiraoka ◽  
Katsumi Shiobara ◽  
Yoshihito Kato ◽  
Shuichi Iwata ◽  
Yutaka Tada ◽  
...  
Keyword(s):  
Velocity Distribution ◽  
Tangential Velocity ◽  
Side Wall ◽  
Agitated Vessel ◽  
Universal Expression

Study on Tangential Velocity Distribution for Radial Direction in a Fully Turbulent Agitated Vessel without Baffles

2007 ◽  
Vol 33 (4) ◽  
pp. 281-287 ◽  
Author(s):  
Katsumi Shiobara ◽  
Setsuro Hiraoka ◽  
Yoshihito Kato ◽  
Shuichi Iwata ◽  
Takao Yamaguchi ◽  
...  
Keyword(s):  
Velocity Distribution ◽  
Radial Direction ◽  
Tangential Velocity ◽  
Agitated Vessel

Estimation of Tangential Velocity near Side Wall of Fully Turbulent Agitated Vessel without Baffles

2006 ◽  
Vol 39 (6) ◽  
pp. 583-586 ◽  
Author(s):  
Setsuro Hiraoka ◽  
Yoshihito Kato ◽  
Shuichi Iwata ◽  
Yutaka Tada ◽  
Hiroyuki Sakai ◽  
...  
Keyword(s):  
Tangential Velocity ◽  
Side Wall ◽  
Agitated Vessel

Pure Design Method for Aerofoils in Cascade

1969 ◽  
Vol 11 (5) ◽  
pp. 454-467 ◽  
Author(s):  
K. Murugesan ◽  
J. W. Railly
Keyword(s):  
Exact Solution ◽  
Velocity Distribution ◽  
Design Problem ◽  
Design Method ◽  
Tangential Velocity ◽  
Surface Velocity ◽  
Normal Velocity ◽  
Blade Design ◽  
Blade Shape

An extension of Martensen's method is described which permits an exact solution of the inverse or blade design problem. An equation is derived for the normal velocity distributed about a given contour when a given tangential velocity is imposed about the contour and from this normal velocity an initial arbitrarily chosen blade shape may be successively modified until a blade is found having a desired surface velocity distribution. Five examples of the method are given.

The stability of viscous axial flow in an annulus with a rotating inner cylinder

1977 ◽  
Vol 352 (1670) ◽  
pp. 351-380 ◽  
Keyword(s):  
Velocity Distribution ◽  
Tangential Velocity ◽  
Axial Flow ◽  
Radius Ratio ◽  
Neutral Stability ◽  
Axial Distribution ◽  
Critical Wavelength ◽  
Explicit Finite Difference ◽  
The Stability ◽  
The Galerkin Method

Predictions by two methods are presented of the onset of instability in developed tangential flow in a concentric annulus due to inner cylinder rotation. The first formulation is as an initial-value problem in which the time evolution of initially-distributed small random vorticity perturbations of given axial wavelength is monitored by numerically integrating the unsteady perturbation equations by explicit finite-difference procedure. The second method is the Galerkin approach where an eigenvalue problem is formulated in which the linearized disturbance equations are solved to predict the neutral stability condition. Comparisons for a radius ratio N of 0.9 and Re up to 350 show that an averaged axial velocity distribution and the exact axial distribution yield similar predictions of Ta c and the corresponding critical wavelength; these however, differ markedly from previous narrow-gap predictions based on a parabolic approximation to the axial distribution. The current use of the exact developed tangential velocity distribution permits investigation by the Galerkin method for 0.9≽ N ≽ 0.1 and Re up to 2000. Computations of Ta c are in satisfactory agreement with earlier measurements for N of 0.95, 0.82 and 0.81 and accord well with current measurements over the range 50 ≼ Re ≼ 400 in an annulus of radius ratio 0.9.

Inward Flow Between Stationary and Rotating Disks

2014 ◽  
Vol 136 (10) ◽  
Author(s):  
Achhaibar Singh
Keyword(s):  
Laminar Flow ◽  
Flow Field ◽  
Velocity Distribution ◽  
Stokes Equations ◽  
Tangential Velocity ◽  
Rotating Disk ◽  
Reynolds Numbers ◽  
Navier Stokes ◽  
Rotating Disks ◽  
Navier Stokes Equations

The present study predicts the flow field and the pressure distribution for a laminar flow in the gap between a stationary and a rotating disk. The fluid enters through the peripheral gap between two concentric disks and converges to the center where it discharges axially through a hole in one of the disks. Closed form expressions have been derived by simplifying the Navier– Stokes equations. The expressions predict the backflow near the rotating disk due to the effect of centrifugal force. A convection effect has been observed in the tangential velocity distribution at high throughflow Reynolds numbers.

Heat Transfer From a Very High Temperature Laminar Gas Flow With Swirl to a Cooled Circular Tube and Nozzle

1994 ◽  
Vol 116 (1) ◽  
pp. 35-39 ◽  
Author(s):  
L. H. Back ◽  
P. F. Massier
Keyword(s):  
Heat Transfer ◽  
Gas Flow ◽  
Swirling Flow ◽  
Tangential Velocity ◽  
Side Wall ◽  
Reynolds Numbers ◽  
High Heat ◽  
Stagnation Temperature ◽  
High Heat Transfer ◽  
Boundary Layer Development

An experimental investigation was carried out to appraise the effect of swirl on heat transfer in the laminar boundary layer development region in a highly cooled tube and nozzle. The ratio of gas-side wall-temperature-to-stagnation-temperature ranged from 0.095 to 0.135. In the swirling flow of argon with ratio of peak-tangential-velocity-to-axial velocity of 3.6 at the injection port, the level of heat transfer to the tube wall was increased from 200 to 60 percent above the level without swirl. In the swirling flows, the wall heat flux level was significantly higher in the tube than in the nozzle downstream. Because of the relatively high heat transfer to the wall, there were appreciable reductions in stagnation enthalpy in the flows that spanned a range of Reynolds numbers from about 360 to 500.

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