Transition to chaos in lid–driven square cavity flow

2021 ◽  
Author(s):  
Tao Wang ◽  
Tiegang Liu
Keyword(s):  
Cavity Flow ◽  
Square Cavity ◽  
Transition To Chaos

Transitions and Bifurcations to Chaos in Combined Radiation and Natural Convection in a Two-Dimensional Participating Medium

1999 ◽  
Author(s):  
Chao-Ho Lan ◽  
Ofodike A. Ezekoye ◽  
John R. Howell
Keyword(s):  
Natural Convection ◽  
Optical Thickness ◽  
Radiation Transfer ◽  
Bulk Temperature ◽  
Radiation Parameter ◽  
Balance Equations ◽  
Square Cavity ◽  
Transition To Chaos ◽  
Parameter Ranges ◽  
Rayleigh Numbers

Abstract Combined radiation and natural convection in a square cavity with emitting and absorbing participating medium is studied numerically. The equation of radiation transfer is analyzed by the P-1 approximation. The momentum and energy balance equations are calculated using spectral methods. The presence of a radiation source increases the bulk temperature of the fluid, and has a significant influence on the flow pattern and temperature distribution. In this work, the flow is initially stationary, and is simulated from transition to chaos by varying with Rayleigh numbers of 104, 105, 106, 107, and 108. The conduction-radiation parameter ranges from 100 to 0.1, and optical thickness ranges from 10 to 0.01. Comparisons are made with some existing results. The influence of the conduction-radiation parameter, Rayleigh numbers and optical thickness on flow instabilities and bifurcations is discussed.

scholarly journals Intermittency and transition to chaos in the cubical lid-driven cavity flow

2016 ◽  
Vol 48 (6) ◽  
pp. 061421 ◽  
Author(s):  
J-Ch Loiseau ◽  
J-Ch Robinet ◽  
E Leriche
Keyword(s):  
Cavity Flow ◽  
Driven Cavity ◽  
Transition To Chaos ◽  
Driven Cavity Flow

scholarly journals Visualization Analysis of Numerical Solution With 32x32 and 64x64 Mesh Grid Lid-Driven Square Cavity Flow

2020 ◽  
Vol 5 (9) ◽  
pp. 652-656
Author(s):  
Santhana Krishnan Narayanan ◽  
Antony Alphonnse Ligor ◽  
Jagan Raj
Keyword(s):  
Reynolds Number ◽  
Numerical Solution ◽  
Constant Velocity ◽  
Flow Problem ◽  
Cavity Flow ◽  
Square Cavity ◽  
Visualization Analysis ◽  
Finite Volume Discretization ◽  
Mesh Grid ◽  
The Given

In this paper, the flow problem of constant velocity of a square cavity whose lid is solved and obtained a numerical solution on 2 grid levels, having 32x32 and 64x64 cells. Reynolds number of 1x102 , 1x103 was selected for laminar flow and 8x103 was selected for turbulent flow. The problem is identified in NavierStokes equations. The finite volume discretization is based on the numerical model. The simulated results are in valid agreement with those that are available in the given report. The numerical solution of these works are accurately obtained for this problem.

scholarly journals Isotherms and Streamlines for 2D Lid Driven Square Cavity

2021 ◽  
Vol 10 (11) ◽  
pp. 97-99
Author(s):  
Garepally Srinivas ◽  
◽  
A. V. Ramana Kumari ◽  
Narayana Vekamulla ◽  
◽  
...  
Keyword(s):  
Reynolds Number ◽  
Richardson Number ◽  
Thermal Characteristics ◽  
Cavity Flow ◽  
Control Parameters ◽  
Governing Equations ◽  
Square Cavity ◽  
Isothermal Temperature ◽  
Vertical Walls ◽  
Volume Method

Analysis of lid driven square cavity flow of air with three different ranges of Ri and Re are analyzed using numerically. Adiabatic temperature is maintained at horizontal walls and isothermal temperature is established at the vertical walls in which the top wall is assumed to slide with a uniform speed. Finite volume method techniques have used to solve non dimensional governing equations. To visualize the flow and thermal characteristics, the control parameters, the Richardson number (Ri) and Reynolds number (Re) and in the range of 0.001 ≤ Ri ≤ 10 and 100 ≤ Re ≤ 400 are used for streamlines and isotherms.

3-D Simulations of Non-Newtonian Fluid Flow in Rectangular Cavity

2003 ◽  
Author(s):  
Ayten S. Bakhtiyarova
Keyword(s):  
Fluid Flow ◽  
Newtonian Fluid ◽  
Fluid Flows ◽  
Cavity Flow ◽  
Rectangular Cavity ◽  
Power Law Model ◽  
Square Cavity ◽  
Pressure Losses ◽  
Flow Simulations ◽  
Model Fluid

In this paper we present the results of the 3-D simulations of the power law model fluid flow in rectangular cavity. FLOW-3D commercial, software (Flow-Simulations, Inc.) has been used to predict flow velocity distributions and pressure losses when non-Newtonian fluid flows through the square cavity.

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