Numerical Study of Natural Convection in an Inclined Triangular Cavity for Different Thermal Boundary Conditions: Application of the Lattice Boltzmann Method
A double-population Lattice Boltzmann Method (LBM) is applied to solve the steady-state laminar natural convective heat-transfer problem in a triangular cavity filled with air (Pr = 0.71). Two different boundary conditions are implemented for the vertical and inclined boundaries: Case I) adiabatic v...
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| Veröffentlicht in: | Fluid dynamics & materials processing 2013-01, Vol.9 (4), p.353-388 |
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| creator | Mahmoudi, Ahmed Mejri, Imen Abbassi, Mohamed Ammar Omri, Ahmed |
| description | A double-population Lattice Boltzmann Method (LBM) is applied to solve the steady-state laminar natural convective heat-transfer problem in a triangular cavity filled with air (Pr = 0.71). Two different boundary conditions are implemented for the vertical and inclined boundaries: Case I) adiabatic vertical wall and inclined isothermal wall, Case II) isothermal vertical wall and adiabatic inclined wall. The bottom wall is assumed to be at a constant temperature (isothermal) for both cases. The buoyancy effect is modeled in the framework of the well-known Boussinesq approximation. The velocity and temperature fields are determined by a D2Q9 LBM and a D2Q4 LBM, respectively. Comparison with previously published work shows excellent agreement. Numerical results are obtained for a wide range of parameters: the Rayleigh number spanning the range(10 super(3) -10 super(6)) and the inclination angle varying in the intervals (0[degrees] to 120[degrees]) and (0[degrees] to 360[degrees]) for cases I and II, respectively. Flow and thermal fields are given in terms of streamlines and isotherms distributions. It is observed that inclination angle can be used as a relevant parameter to control heat transfer in right-angled triangular enclosures. |
| doi_str_mv | 10.3970/fdmp.2013.009.353 |
| format | Article |
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Two different boundary conditions are implemented for the vertical and inclined boundaries: Case I) adiabatic vertical wall and inclined isothermal wall, Case II) isothermal vertical wall and adiabatic inclined wall. The bottom wall is assumed to be at a constant temperature (isothermal) for both cases. The buoyancy effect is modeled in the framework of the well-known Boussinesq approximation. The velocity and temperature fields are determined by a D2Q9 LBM and a D2Q4 LBM, respectively. Comparison with previously published work shows excellent agreement. Numerical results are obtained for a wide range of parameters: the Rayleigh number spanning the range(10 super(3) -10 super(6)) and the inclination angle varying in the intervals (0[degrees] to 120[degrees]) and (0[degrees] to 360[degrees]) for cases I and II, respectively. Flow and thermal fields are given in terms of streamlines and isotherms distributions. 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Two different boundary conditions are implemented for the vertical and inclined boundaries: Case I) adiabatic vertical wall and inclined isothermal wall, Case II) isothermal vertical wall and adiabatic inclined wall. The bottom wall is assumed to be at a constant temperature (isothermal) for both cases. The buoyancy effect is modeled in the framework of the well-known Boussinesq approximation. The velocity and temperature fields are determined by a D2Q9 LBM and a D2Q4 LBM, respectively. Comparison with previously published work shows excellent agreement. Numerical results are obtained for a wide range of parameters: the Rayleigh number spanning the range(10 super(3) -10 super(6)) and the inclination angle varying in the intervals (0[degrees] to 120[degrees]) and (0[degrees] to 360[degrees]) for cases I and II, respectively. Flow and thermal fields are given in terms of streamlines and isotherms distributions. 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| subjects | Adiabatic flow Boundary conditions Boussinesq approximation Computational fluid dynamics Free convection Heat transfer Holes Inclination angle Mathematical models Parameters Walls |
| title | Numerical Study of Natural Convection in an Inclined Triangular Cavity for Different Thermal Boundary Conditions: Application of the Lattice Boltzmann Method |
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