Effects of Aspect Ratios on Flow Friction and Thermal Behavior Inside a Close Domain Using Lattice Boltzmann Method
M. A. Taher,
Litan Kumar Saha,
Y. W. Lee
Issue:
Volume 3, Issue 1-1, January 2015
Pages:
1-7
Received:
11 November 2014
Accepted:
12 November 2014
Published:
29 November 2014
Abstract: Numerical study of flow friction and thermal behavior on a moving lid of a triangular cavity with various aspect ratios has been discussed using a Thermal Lattice Boltzmann Method (TLBM). To analyze the combined force and free convection, known as mixed convection, flows and heat transfer process in a lid driven triangular cavity with various aspect ratios AR(=L/H)=0.5, 1.0 and 2.0 are taken into account in the present study. The results are presented as stream function in terms of velocity, average heat transfer rate in terms of Nusselt number (Nu), and friction on moving lid of cavity for different Reynolds number (Re) as well as buoyancy parameter (λ). The heat transfer rate and friction on moving lid increased and decreased significantly with increasing Reynolds number and aspect ratios but they are linearly and very slowly changed with buoyancy effects. Similarly, the fluid flow behavior significantly changed with higher Reynolds number and aspect ratios compare to lower Re and AR. In addition, the less friction and more heat transfer occurred at case of free convection dominant case compare to forced convection dominant case. Similar behavior is observed for fluid flow analysis inside cavity. The model is validated by other numerical scheme and a very good agreement is found.
Abstract: Numerical study of flow friction and thermal behavior on a moving lid of a triangular cavity with various aspect ratios has been discussed using a Thermal Lattice Boltzmann Method (TLBM). To analyze the combined force and free convection, known as mixed convection, flows and heat transfer process in a lid driven triangular cavity with various aspec...
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Hydro-Magnetic Mixed Convection Flow in a Lid-Driven Cavity with Wavy Bottom Surface
Litan Kumar Saha,
Monotos Chandra Somadder,
Nepal Chandra Roy
Issue:
Volume 3, Issue 1-1, January 2015
Pages:
8-19
Received:
11 November 2014
Accepted:
12 November 2014
Published:
29 November 2014
Abstract: Mixed convection flow in the presence of magnetic field is examined in a lid-driven cavity with wavy bottom surface. The magnetic field is applied in perpendicular direction to the cavity. Moreover, the cavity is heated from top while the bottom surface is taken as a wavy pattern. The vertical walls of the cavity are adiabatic. The governing equations have been solved by using Galerkin weighted residual method of finite element formulation. To uncover the flow patterns and heat transfer mechanisms within the cavity, the results are presented in terms of streamlines and isotherms for different Reynolds number, Grashof number, Hartmann number and number of undulations offered by the wavy bottom surface. Also the effects of these parameters are shown on the Local Nusselt number. It is observed that the wavy lid-driven cavity can be considered as an effective heat transfer mechanism in presence of magnetic field at larger wavy surface amplitudes and low Richardson numbers.
Abstract: Mixed convection flow in the presence of magnetic field is examined in a lid-driven cavity with wavy bottom surface. The magnetic field is applied in perpendicular direction to the cavity. Moreover, the cavity is heated from top while the bottom surface is taken as a wavy pattern. The vertical walls of the cavity are adiabatic. The governing equati...
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Effect of Internal Heat Generation or Absorption on MHD Mixed Convection Flow in a Lid Driven Cavity
Litan Kumar Saha,
K. M. Salah Uddin,
M. A. Taher
Issue:
Volume 3, Issue 1-1, January 2015
Pages:
20-29
Received:
11 November 2014
Accepted:
12 November 2014
Published:
29 November 2014
Abstract: In the present study the problem of mixed convection flow in the presence of magnetic field in a lid-driven square cavity with internal heat generation or absorption and uniform heating of bottom wall were investigated numerically. The square cavity vertical walls are maintained at cold temperature while the upper wall is insulated. The physical problem is then expressed mathematically by a set of governing equations and the developed mathematical model is solved by employing Galerkin weighted residual method of finite element formulation. Effects of variations of Richardson number, Hartmann number and heat generation or absorption parameter on flow structure and heat transfer rate (Nuesselt number) were studied in details. The significant reduction in the average Nusselt number were produced as the strength of the applied magnetic field was increased. In addition, heat generation predicted to decrease the average Nusselt number whereas heat absorption increases it.
Abstract: In the present study the problem of mixed convection flow in the presence of magnetic field in a lid-driven square cavity with internal heat generation or absorption and uniform heating of bottom wall were investigated numerically. The square cavity vertical walls are maintained at cold temperature while the upper wall is insulated. The physical pr...
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Numerical Solutions of 2-D Incompressible Driven Cavity Flow with Wavy Bottom Surface
K. M. Salah Uddin,
Litan Kumar Saha
Issue:
Volume 3, Issue 1-1, January 2015
Pages:
30-42
Received:
15 November 2014
Accepted:
26 November 2014
Published:
27 December 2014
Abstract: In the present numerical study is devoted to investigate the lid-driven cavity flow with wavy bottom surface. The cavity upper wall is moving with a uniform velocity by unity and the other walls are no-slip. The physical problem is represented mathematically by a set of governing equations and the developed mathematical model is solved by employing Galerkin weighted residual method of finite element formulation. The wide ranges of governing parameters, i. e., the Reynolds number (Re), and the number of undulations (λ) on the flow structures are investigated in detail. The behavior of the force coefficient Cf also has been examined. Streamline plots provide the details of fluid flow. The fluid contained inside a squared cavity is set into motion by the top wall which is sliding at constant velocity from left to right and the undulation which was induced at the bottom surface. It is found that these parameters have significant effect on the flow fields in the cavity. Furthermore, the trends of skin friction for different values of the aforementioned parameters are presented in this investigation.
Abstract: In the present numerical study is devoted to investigate the lid-driven cavity flow with wavy bottom surface. The cavity upper wall is moving with a uniform velocity by unity and the other walls are no-slip. The physical problem is represented mathematically by a set of governing equations and the developed mathematical model is solved by employing...
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