Laminar Swirling Flow in a Tube With Surface Mass Transfer

1970 ◽  
Vol 37 (4) ◽  
pp. 936-944 ◽  
Author(s):  
R. B. Kinney ◽  
E. M. Sparrow

The decay of swirl and the associated axial and radial velocity perturbations are analyzed for laminar tube flow with surface mass transfer. The initial swirl distribution is that corresponding to a fully developed flow characterized by injection or withdrawal of fluid having both circumferential and radial components of velocity. Consideration is also given to swirling flows in impermeable tubes, and new results are obtained by specializing the general solution for the case of surface mass transfer. Numerical results are presented for a range of values of the mass transfer Reynolds number. Among the findings, it is observed that at the higher rates of fluid injection, the decay of the swirl requires a much longer length of run than does the decay of the axial and radial velocity perturbations.

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
Sharmina Hussain ◽  
Nepal C. Roy ◽  
Md. Anwar Hossain ◽  
Suvash C. Saha

An investigation has been carried on double diffusive effect on boundary layer flow due to small amplitude oscillation in surface heat and mass flux. Extensive parametric simulations were performed in order to elucidate the effects of some important parameters, that is, Prandtl number, Schmidt number, and Buoyancy ratio parameter on flow field in conjunction with heat and mass transfer. Asymptotic solutions for low and high frequencies are obtained for the conveniently transformed governing coupled equations. Solutions are also obtained for wide ranged value of the frequency parameters. Comparisons between the asymptotic and wide ranged values are made in terms of the amplitudes and phases of the shear stress, surface heat transfer, and surface mass transfer. It has been found that the amplitudes and phase angles obtained from asymptotic solutions are found in good agreement with the finite difference solutions obtained for wide ranged value of the frequency parameter.


2018 ◽  
Vol 846 ◽  
pp. 210-239
Author(s):  
Vinicius M. Sauer ◽  
Fernando F. Fachini ◽  
Derek Dunn-Rankin

Tubular flames represent a canonical combustion configuration that can simplify reacting flow analysis and also be employed in practical power generation systems. In this paper, a theoretical model for non-premixed tubular flames, with delivery of liquid fuel through porous walls into a swirling flow field, is presented. Perturbation theory is used to analyse this new tubular flame configuration, which is the non-premixed equivalent to a premixed swirl-type tubular burner – following the original classification of premixed tubular systems into swirl and counterflow types. The incompressible viscous flow field is modelled with an axisymmetric similarity solution. Axial decay of the initial swirl velocity and surface mass transfer from the porous walls are considered through the superposition of laminar swirling flow on a Berman flow with uniform mass injection in a straight pipe. The flame structure is obtained assuming infinitely fast conversion of reactants into products and unity Lewis numbers, allowing the application of the Shvab–Zel’dovich coupling function approach.


AIAA Journal ◽  
1976 ◽  
Vol 14 (5) ◽  
pp. 589-596 ◽  
Author(s):  
G. R. Inger ◽  
T. F. Swean

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