scholarly journals Decay estimates with sharp rates of global solutions of nonlinear systems of fluid dynamics equations

2016 ◽  
Vol 9 (6) ◽  
pp. 2181-2200
Author(s):  
Linghai Zhang
Keyword(s):  
Fluid Dynamics ◽  
Nonlinear Systems ◽  
Global Solutions ◽  
Decay Estimates ◽  
Fluid Dynamics Equations

Pressure Characteristics of the Air Flow Field of Cyclone

2013 ◽  
Vol 663 ◽  
pp. 532-536 ◽  
Author(s):  
Chih Hung Huang ◽  
Jia Twu Lee
Keyword(s):  
Fluid Dynamics ◽  
Wind Speed ◽  
Internal Pressure ◽  
Experimental Simulation ◽  
Dust Collector ◽  
Know How ◽  
Key Factor ◽  
Simulation Results ◽  
Fluid Dynamics Equations ◽  
Internal Velocity

The changes in pressure inside the cyclone is a key factor affecting the amount of dust. CFD packages used in this study, with powerful computing features, it's built-in the dynamic fluid dynamics equations, have to know how to self do rational, logical judgments engineering objects. After the attempt of the flow rate and pressure, the experimental simulation results showed: (1) in a fixed wind speed, the vortex rotation was more smoothly, the less amount of fallout; (2) in a fixed wind speed rotating vortex was less smooth, more fallout . (3) the greater the internal pressure, dust kept in the more the amount of air, the less the amount of dust; (4) the internal pressure of the smaller, less dust kept in the air quantity, more fallout. In short, the size of the internal velocity and pressure of the dust collector, was sufficient to affect the important factors of the drop amount of the quantity of dust, and thus determine a dust collector dust of the performance being good or bad.

Elements of a Graduate Course in Computational Fluid Dynamics: Successful Assimilation and Implementation

2013 ◽  
Author(s):  
Subha Kumpaty
Keyword(s):  
Fluid Dynamics ◽  
Computational Fluid Dynamics ◽  
Course Evaluation ◽  
Successful Implementation ◽  
Positive Experience ◽  
Graduate Course ◽  
Flow Problems ◽  
Computational Fluid Dynamics Cfd ◽  
Positive Experiences ◽  
Fluid Dynamics Equations

While a course in Computational Fluid Dynamics (CFD) is a common offering in many universities and for several decades, the author of this paper learnt interesting patterns from the students’ assimilation of the principles and implemented the pedagogical build-up for positive experiences during the recent offering in winter 2012–13. With precise assignments that highlight the appropriate concepts to be learnt and put to coding, the students have progressed in gaining the confidence to tackle a variety of flow problems. Students felt that they could always learn using software and solve problems but the intricate details in understanding and applying the governing fluid dynamics equations was what they were able to gain from the course. The topical treatment given, the problems solved, the techniques applied, the software used are presented in this paper as an example of successful implementation of and enhanced student learning in a graduate course in CFD. Industry-relevant course projects culminated the positive experience, as confirmed by the course evaluation results.

scholarly journals Global Existence and Energy Decay Rates for a Kirchhoff-Type Wave Equation with Nonlinear Dissipation

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Daewook Kim ◽  
Dojin Kim ◽  
Keum-Shik Hong ◽  
Il Hyo Jung
Keyword(s):  
Wave Equation ◽  
Existence And Uniqueness ◽  
Global Solutions ◽  
Growth Conditions ◽  
Decay Rates ◽  
Decay Estimates ◽  
Nonlinear Dissipation ◽  
Kirchhoff Type ◽  
Type Wave ◽  
Energy Decay Rates

The first objective of this paper is to prove the existence and uniqueness of global solutions for a Kirchhoff-type wave equation with nonlinear dissipation of the form under suitable assumptions on . Next, we derive decay estimates of the energy under some growth conditions on the nonlinear dissipationg. Lastly, numerical simulations in order to verify the analytical results are given.

scholarly journals Asymptotic behavior of solutions to an evolution equation for bidirectional surface waves in a convecting fluid

2020 ◽  
Vol 72 (10) ◽  
pp. 1386-1399
Author(s):  
H. Mahmoudi ◽  
A. Esfahani
Keyword(s):  
Evolution Equation ◽  
Surface Waves ◽  
Asymptotic Properties ◽  
Global Solutions ◽  
Polynomial Decay ◽  
Equation Modeling ◽  
Asymptotic Behavior Of Solutions ◽  
Decay Estimates ◽  
Initial Value ◽  
The Cauchy Problem

UDC 517.9 We consider the Cauchy problem for an evolution equation modeling bidirectional surface waves in a convecting fluid. We study the existence, uniqueness, and asymptotic properties of global solutions to the initial value problem associated withthis equation in . We obtain some polynomial decay estimates of the energy.

Sign in / Sign up

Export Citation Format

Share Document