Note on the flux condition and pressure drop in the resolvent problem of the Stokes system

1996 ◽  
Vol 89 (1) ◽  
pp. 139-158 ◽  
Author(s):  
Reinhard Farwig
Keyword(s):  
Pressure Drop ◽  
Stokes System ◽  
Flux Condition ◽  
Resolvent Problem

The resolvent problem for the Stokes system in exterior domains: uniqueness and non-regularity in Hölder spaces

1992 ◽  
Vol 122 (1-2) ◽  
pp. 1-10 ◽  
Author(s):  
Paul Deuring
Keyword(s):  
Boundary Conditions ◽  
Existence Result ◽  
Stokes System ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Conditions ◽  
Exterior Domains ◽  
Hölder Spaces ◽  
Image Position ◽  
Holder Spaces ◽  
Resolvent Problem

SynopsisWe consider the resolvent problem for the Stokes system in exterior domains, under Dirichlet boundary conditions:where Ω is a bounded domain in ℝ3. It will be shown that in general there is no constant C > 0 such that for with , div u = 0, and for with . However, if a solution (u, π) of problem (*) exists, it is uniquely determined, provided that u(x) and ∇π(x) decay for large values of |x|. These assertions imply a non-existence result in Hölder spaces.

scholarly journals Experimental Study of Condensation Heat Transfer and Pressure Drop inside a Small Diameter Microfin and Smooth Tube at Low Mass Flux Condition

2018 ◽  
Vol 8 (11) ◽  
pp. 2146 ◽  
Author(s):  
M. Khairul Bashar ◽  
Keisuke Nakamura ◽  
Keishi Kariya ◽  
Akio Miyara
Keyword(s):  
Heat Transfer ◽  
Pressure Drop ◽  
Mass Flux ◽  
Small Diameter ◽  
Saturation Temperature ◽  
Local Heat Transfer ◽  
Local Heat ◽  
Smooth Tube ◽  
Flux Condition ◽  
Low Mass

This study was made to investigate the condensation local heat transfer and adiabatic pressure drop of R134a inside a 2.5 mm outside diameter smooth and microfin tube at low mass flux condition. Data were measured for mass fluxes from 50 to 300 kg m−2s−1, vapor qualities from 0 to 1 and saturation temperatures from 20 to 30 °C. The effects of mass flux, vapor quality, saturation temperature, microfin and diameter of test tube were analyzed. The pressure drop of the microfin tube was about 1.5 times higher than that of the smooth tube at mass flux 50 kg m−2s−1. The heat transfer coefficient of the microfin tube was about 2–5 times higher than that of the smooth tube at mass flux 100 kg m−2s−1. Experimental results were also compared with typical correlations. For the microfin tube, however, all the existing correlations do not adequately predict the present data. Poor predictions may be attributed to the lack of the small diameter microfin tube with low mass flux data in their database. Hence, it is essential to develop a condensation and pressure drop correlation for the small diameter microfin tube at low mass flux condition.

PREDICTION OF PRESSURE DROP THROUGH BAFFLE INJECTOR

2014 ◽  
Vol 24 (3) ◽  
pp. 273-280
Author(s):  
Kyubok Ahn ◽  
Hwan-Seok Choi
Keyword(s):  
Pressure Drop

Flow and pressure drop in annular ducts with one rotating surface

2017 ◽  
Author(s):  
C. Y. Nakashima ◽  
S. de Oliveira Jr. ◽  
E. F. Caetano
Keyword(s):  
Pressure Drop ◽  
Rotating Surface
Sign in / Sign up

Export Citation Format

Share Document