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008 100511t2009 my ao f m 000 0 eng d
020 _aTHE0006247(Local)
039 9 _a201905161222
_baida
_c201107132318
_dVLOAD
_y201005111244
_zida
040 _aUMP
090 _aTJ260 .P95 2009 rs Bc.
100 0 _aPylliscia Sumbok Ak Adan
245 1 0 _aEvaluation of two different types D2QA microscopic velocity models at low rayleigh number heat transfer /
_cPylliscia Sumbok Ak Adan
246 3 _aEvaluation of two different types D2QA microscopic velocity models at low rayleigh number heat transfer
_h[electronic resource]
260 _aKuantan, Pahang :
_bUMP,
_c2009
300 _axiv, 55 p. :
_bill. (some col.) ;
_c30 cm. +
_e1 computer disc
502 _aProject paper (Bachelor of Mechanical Engineering) -- Universiti Malaysia Pahang - 2009
520 3 _aThe aim of this thesis is to study the methods of the lattice Boltzmann equations in order to be apply in two types of D2Q4 model in thermal fluid flow problems. LBM has been found to be useful in application involving interfacial dynamics and complex boundaries. These methods utilize the statistical mechanics of simple discrete models to simulate complex physical systems. The theory of lattice Boltzmann method in nine and four velocity model are reviewed. The isothermal and thermal equation have been derived from the Boltzmann equation by descretiziton on both time and phase space. In this isothermal problem, a few simple isotherml flow simulation will be done by using the nine velocity model. The concepts of distribution function are considered beside the theory of Boltzmann equations. Then the derivations of Navier-Stokes equation from the Boltzmann equations are also presented. Some simulation results are performed, to highlight the important features of the isothermal LB model. The application of lattice Boltzmann scheme in thermal fluid problem is investigated in chapter 3. By using the derivation of the discretised density distribution function, a 4-velocity model is applied to develop the internal energy distribution function. This model is validated to simulate the porous couette flow problem for thermal fluid flow problems. The performance for both types D2Q4 microscopic model is demonstrated in the simulations of porous thermal couette flow and natural convection flow in a square cavity. The simulation of thermal fluids flow is applied to two different types of four-velocity model that are Azwadi model and old model. The same simulation test is performed for both types and the accuracy and stability analysis of both models are stated. These models are compared and discussed to ensure its validity.
650 0 _aHeat
_xTransmission
999 _aVIRTUA40
_c2833
_d2839
999 _aVTLSSORT0080*0200*0400*0900*1000*2450*2460*2600*3000*5020*5200*6500*9992