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Numerical comparison of the beam model and 2D linearized elasticity
Fabijanic, Eva,Tambaca, Josip Techno-Press 2009 Structural Engineering and Mechanics, An Int'l Jou Vol.33 No.5
In this paper we compare the solution of the one-dimensional beam model and the numerical solution of the two-dimensional linearized elasticity problem for rectangular domain of the beam-like form. We first derive the beam model starting from the two-dimensional linearized elasticity, the same way it is derived from the three-dimensional linearized elasticity. Then we present the numerical solution of the two-dimensional problem by finite element method. As expected the difference of two approximations becomes smaller as the thickness of the beam tends to zero. We then analyze the applicability of the one-dimensional model and verify the main properties of the beam modeling for thin beams.
Numerical comparison of the beam model and 2D linearized elasticity
Eva Fabijanic,Josip Tambaca 국제구조공학회 2009 Structural Engineering and Mechanics, An Int'l Jou Vol.33 No.5
In this paper we compare the solution of the one-dimensional beam model and the numerical solution of the two-dimensional linearized elasticity problem for rectangular domain of the beam-like form. We first derive the beam model starting from the two-dimensional linearized elasticity, the same way it is derived from the three-dimensional linearized elasticity. Then we present the numerical solution of the two-dimensional problem by finite element method. As expected the difference of two approximations becomes smaller as the thickness of the beam tends to zero. We then analyze the applicability of the one-dimensional model and verify the main properties of the beam modeling for thin beams.
Modelling the minimally fluidized state under reduced pressure
Lanka Dinushke Weerasiri,Subrat Das,Daniel Fabijanic,William Yang 한국공업화학회 2022 Journal of Industrial and Engineering Chemistry Vol.114 No.-
Several aspects of numerically modelling a minimally fluidized gas–solid system have been investigatedin this work. The numerical results show that voidage and the resulting pressure drop are not a functionof the fluidizing cycle. More interestingly, the pressure drop was not impacted by introducing the lateralaxis of gas and solid flow in the 3D models. Under a reduced pressure environment, none of the wellknowndrag models could capture the effect of the slip flow. A relatively new but not well-known slipflow drag model showed the ability to capture the impact of the slip flow regime. However, improvementsin its overall accuracy are desirable. To this extent, the Ergun pressure drop equation was modifiedto introduce the effect of the slip flow regime. The losses in the slip flow regime were captured by derivinga new correlation using experimental work that predicted a linear relationship between the laminarcoefficient and the Knudsen number. The modified Ergun equation showed notable improvement in itspressure drop accuracy. Furthermore, the modified Ergun equation was implemented as a modifiedGidaspow drag model. It showed better accuracy in predicting pressure drop and minimum fluidizationvelocity at reduced pressure for various alumina particle sizes.