Closure to “Discussion of ‘A Theoretical Model for the Transverse Impingement of Free Jets at Low Reynolds Number’” (1981, ASME J. Fluids Eng., 103, p. 374)

1981 ◽  
Vol 103 (2) ◽  
pp. 374-374
Author(s):  
R. Winton ◽  
H. R. Martin
1980 ◽  
Vol 102 (4) ◽  
pp. 510-518 ◽  
Author(s):  
R. Winton ◽  
H. R. Martin

There are many applications in industrial fluid mechanics and fluidic technology where jets of fluid interact. This paper examines the interaction of two liquid laminar free jets under low Reynolds number conditions and particularly highlights the phenomenon of the inwards deflecting jet. A potential flow solution is developed for the modelling of the control jet flow in the vicinity of the control nozzle exit plane, which demonstrates the presence of a net suction force modifying the momentum interaction of the two orthogonal jets under these low Reynolds number conditions.


2009 ◽  
Vol 47 (2) ◽  
pp. 279-294 ◽  
Author(s):  
Valentino Todde ◽  
Pier Giorgio Spazzini ◽  
Mats Sandberg

2010 ◽  
Vol 664 ◽  
pp. 436-465 ◽  
Author(s):  
ROBERTO CAMASSA ◽  
CLAUDIA FALCON ◽  
JOYCE LIN ◽  
RICHARD M. McLAUGHLIN ◽  
NICHOLAS MYKINS

A sphere exhibits a prolonged residence time when settling through a stable stratification of miscible fluids due to the deformation of the fluid-density field. Using a Green's function formulation, a first-principles numerically assisted theoretical model for the sphere–fluid coupled dynamics at low Reynolds number is derived. Predictions of the model, which uses no adjustable parameters, are compared with data from an experimental investigation with spheres of varying sizes and densities settling in stratified corn syrup. The velocity of the sphere as well as the deformation of the density field are tracked using time-lapse images, then compared with the theoretical predictions. A settling rate comparison with spheres in dense homogeneous fluid additionally quantifies the effect of the enhanced residence time. Analysis of our theory identifies parametric trends, which are also partially explored in the experiments, further confirming the predictive capability of the theoretical model. The limit of infinite fluid domain is considered, showing evidence that the Stokes paradox of infinite fluid volume dragged by a moving sphere can be regularized by density stratifications. Comparisons with other possible models under a hierarchy of additional simplifying assumptions are also presented.


2018 ◽  
Vol 12 (3) ◽  
pp. 255
Author(s):  
Muhammad Zal Aminullah Daman Huri ◽  
Shabudin Bin Mat ◽  
Mazuriah Said ◽  
Shuhaimi Mansor ◽  
Md. Nizam Dahalan ◽  
...  

Author(s):  
Vadim V. Lemanov ◽  
Viktor I. Terekhov ◽  
Vladimir V. Terekhov

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