Laminar natural convection boundary layers over bodies of arbitrary contour with vectored surface mass transfer

1989 ◽  
Vol 27 (10) ◽  
pp. 1241-1252 ◽  
Author(s):  
Prem Kumar ◽  
Sarbeswar Rout ◽  
P.Sambath Narayanan
1987 ◽  
Vol 54 (1) ◽  
pp. 197-202 ◽  
Author(s):  
C. A. J. Fletcher ◽  
R. W. Fleet

The Dorodnitsyn finite element formulation is extended to cover incompressible, two-dimensional turbulent boundary layers with surface mass transfer in the normal direction. The method is shown to give accurate and economical answers with only eleven points spanning the boundary layer. Good agreement is obtained when the computational solutions are compared with the experimental results of McQuaid [13] for skin friction coefficient, displacement and momentum thickness and velocity profiles. Zero and adverse pressure gradient and discontinuous injection cases have been considered.


1977 ◽  
Vol 99 (3) ◽  
pp. 446-452 ◽  
Author(s):  
G. B. Lewis ◽  
J. L. Novotny ◽  
K. T. Yang

Laminar isothermal natural-convection mass transfer along a porous vertical plate in an aqueous sodium chloride solution with uniform surface injection of pure water at the plate surface is investigated experimentally by means of a Mach-Zehnder interferometer. Grashof numbers for the mass transfer system range from 0.253 × 104 to 0.858 × 107; the surface injection velocities are from 0.519 × 10−4 cm/s to 0.937 × 10−3 cm/s; and Schmidt numbers cover a range from 582 to 643. Steady concentration profiles and rate of surface mass transfer have been obtained, and are compared with the theoretical result based on a similarity solution with matched surface concentration distribution, Grashof and Schmidt numbers, and surface injection rate.


2011 ◽  
Vol 685 ◽  
pp. 335-364 ◽  
Author(s):  
Baburaj A. Puthenveettil ◽  
G. S. Gunasegarane ◽  
Yogesh K. Agrawal ◽  
Daniel Schmeling ◽  
Johannes Bosbach ◽  
...  

AbstractWe present planforms of line plumes formed on horizontal surfaces in turbulent convection, along with the length of line plumes measured from these planforms, in a six decade range of Rayleigh numbers ($1{0}^{5} \lt \mathit{Ra}\lt 1{0}^{11} $) and at three Prandtl numbers ($\mathit{Pr}= 0. 7, 5. 2, 602$). Using geometric constraints on the relations for the mean plume spacings, we obtain expressions for the total length of near-wall plumes on horizontal surfaces in turbulent convection. The plume length per unit area (${L}_{p} / A$), made dimensionless by the near-wall length scale in turbulent convection (${Z}_{w} $), remains constant for a given fluid. The Nusselt number is shown to be directly proportional to ${L}_{p} H/ A$ for a given fluid layer of height $H$. The increase in $\mathit{Pr}$ has a weak influence in decreasing ${L}_{p} / A$. These expressions match the measurements, thereby showing that the assumption of laminar natural convection boundary layers in turbulent convection is consistent with the observed total length of line plumes. We then show that similar relationships are obtained based on the assumption that the line plumes are the outcome of the instability of laminar natural convection boundary layers on the horizontal surfaces.


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