Citation
Parthasarathy, Shakkottai P. (1969) I. The transient boundary layer produced by a sink on a plane wall. II. Flow of dusty gases. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd04012009085458
Abstract
Part I: The solution for the problem of the transient boundary layers generated by a sink on a plane wall is obtained by an integral method. The incompressible flow is similar and the similarity solutions are obtained for the two dimensional and axisymmetric cases. The velocity layer reaches a steady state and the thermal layer does not. For large times, when the thermal layer is much thicker than the velocity layer, a solution for the temperature field is obtained ignoring the velocity layer. With some approximations to the flow near the sink, similar solutions for compressible flow are also obtained.
Part IIa: By using the integrated equations of motion, the development of a laminar, twodimensional, dusty jet issuing from a slit is considered. The solutions are simple in the limits τ → 0 and τ → ∞, where τ is the particle relaxation time. For arbitrary τ, a numerical example is given. With some assumptions, the turbulent dusty jet is also considered.
Part IIb: There are three parameters in the problem of steady motion of a dusty gas around a sphere. These are the Reynolds number R, particle parameter σ and the mass concentration of dust f[subscript ∞]. Solutions are obtained by the perturbation method by expanding in terms of R with σ or σ/R fixed, in the limit R → 0. Solutions are also obtained for the limit R tending to infinity with f < < 1. In both cases critical values of σ exist, below which the sphere does not capture dust. The efficiency of capture as a function of σ is calculated in both cases.
Item Type:  Thesis (Dissertation (Ph.D.)) 

Degree Grantor:  California Institute of Technology 
Division:  Engineering and Applied Science 
Major Option:  Aeronautics 
Thesis Availability:  Public (worldwide access) 
Research Advisor(s): 

Thesis Committee: 

Defense Date:  26 May 1969 
Record Number:  CaltechETD:etd04012009085458 
Persistent URL:  http://resolver.caltech.edu/CaltechETD:etd04012009085458 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  1243 
Collection:  CaltechTHESIS 
Deposited By:  Imported from ETDdb 
Deposited On:  02 Apr 2009 
Last Modified:  26 Dec 2012 02:36 
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