On approximate solutions to the Euler–Poisson system with boundary layers

2021 ◽  
Vol 96 ◽  
pp. 105717
Author(s):  
Chang-Yeol Jung ◽  
Bongsuk Kwon ◽  
Masahiro Suzuki
Keyword(s):  
Boundary Layers ◽  
Approximate Solutions ◽  
Poisson System

Homogenization of Boundary Layers in the Boltzmann--Poisson System

2021 ◽  
Vol 19 (1) ◽  
pp. 506-532
Author(s):  
Clemens Heitzinger ◽  
José A. Morales E.
Keyword(s):  
Boundary Layers ◽  
Poisson System

Global weak entropy solutions to the Euler–Poisson system with spherical symmetry

2016 ◽  
Vol 26 (09) ◽  
pp. 1689-1734
Author(s):  
Jingjing Xiao
Keyword(s):  
Spherical Symmetry ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Approximate Solutions ◽  
Poisson System ◽  
Godunov Scheme ◽  
Initial Value ◽  
Weak Entropy Solution ◽  
Initial Boundary Value

In this paper, we study the initial boundary value problem for the isentropic Euler–Poisson system in an exterior domain with spherical symmetry. The initial data is supposed to be bounded and satisfy other suitable assumptions. Using a fractional step Godunov scheme, we construct the approximate solutions and prove the uniform [Formula: see text] estimates for the approximate solutions. Then the compensated compactness argument implies the convergence of the solutions. The weak entropy solution also satisfies the initial value and boundary value in the sense of trace.

scholarly journals On the heat transfer to an accelerated translating droplet

2004 ◽  
Vol 31 (2) ◽  
pp. 85-99
Author(s):  
S. Hanchi ◽  
H. Oualli ◽  
R. Askovic
Keyword(s):  
Heat Transfer ◽  
Viscous Fluid ◽  
Boundary Layers ◽  
Transient Response ◽  
Approximate Solutions ◽  
Step Change ◽  
Response Behavior ◽  
Constant Acceleration ◽  
Internal Circulation ◽  
Energy Equations

An analysis is made for the transient response behavior of the both, outer and inner, thermal boundary layers of a fluid sphere moving at constant acceleration with internal circulation in an other viscous fluid of large extent initially at rest under the condition of large Reynolds and Peclet numbers. The disturbance is initiated by a step change in temperature of either the continuous or disperse region fluids. The approximate solutions of the governing energy equations are found by using the inviscid approximations for the flow fields.

Quasi-neutral limit for Euler-Poisson system in the presence of boundary layers in an annular domain

2020 ◽  
Vol 269 (10) ◽  
pp. 8007-8054
Author(s):  
Chang-Yeol Jung ◽  
Bongsuk Kwon ◽  
Masahiro Suzuki
Keyword(s):  
Boundary Layers ◽  
Poisson System ◽  
Annular Domain

Laminar Boundary Layers in Oscillatory Flow

1960 ◽  
Vol 82 (3) ◽  
pp. 593-607 ◽  
Author(s):  
P. G. Hill ◽  
A. H. Stenning
Keyword(s):  
Boundary Layers ◽  
Flow Behavior ◽  
Approximate Solutions ◽  
Intermediate Frequency ◽  
Very High Frequency ◽  
High Frequencies ◽  
Laminar Boundary Layers ◽  
High Frequency Oscillations ◽  
Measured Flow ◽  
Very High

A study has been made of the effects of free stream oscillations on laminar boundary layers of the Howarth type. Detailed measurements of oscillations have been made for the two conditions of Blasius flow and a Howarth flow fairly near separation. It has been found that there are three types of behavior, corresponding to low, intermediate, and high frequencies. Low and very high frequency oscillations are shown to be well described by existing approximate solutions. However, an intermediate frequency region required a new analytic treatment, the results of which do in fact account for the measured flow behavior in that region.

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