In this paper, we propose a fast and efficient numerical technique based on the Lattice Boltzmann method (LBM) to model the flow through a reference drip emitter geometry. The aim of the study is to demonstrate the applicability of the LBM as a reliable simulation tool for the hydraulic optimisation of irrigation systems. Results for the water flow through a rectangular drip emitter are in good agreement with literature numerical and experimental data. Furthermore, we demonstrate the feasibility of the proposed model to simulate a multi-component flow that could be used to simulate the presence of additives, contaminants, and suspended particles.
IntroductionAs shown in several studies, drip emitters play a major role in the hydraulic performance of drip irrigation systems (Glaad, 1974;Ozekici et al., 1991; Carraro et al., 2006;Li et al., 2006). Glaad (1974) reports several results obtained under laboratory conditions and highlights the effect of structural form, dimension and material of emitter channels on the overall performance of the dripper. In Ozekici et al. (1991), pressure losses during water flow are related to the shape of the emitter channel.However, a detailed experimental observation of the flow pattern through emitter channels has proven to be practically unfeasible, due to their complex shape and very small size (less than 1 mm 2 of cross sectional area). This provides the typical framework in which computational fluid dynamics (CFD) can be proficiently employed (Xia and Sun, 2002;Lee, 2013;Lee et al., 2013), to allow an experimental-based optimisation of drip irrigation systems. To date, a few CFD applications to drip emitters can be reported in the scientific literature, all based on well established numerical techniques such as the finite volume method (FVM) or the finite element method (FEM) (Palau-Salvador et al., 2004;Wei et al., 2004Wei et al., , 2006Provenzano et al., 2007;Li et al., 2008;Wu et al., 2013;Yurdem et al., 2015). In Palau-Salvador et al. (2004), a finite volume laminar flow model is employed to investigate the pressure vs discharge rate correlation in a straight channel design, showing a good agreement with experimental data. In Wei et al. (2004) a novel channel design is simulated numerically, confirming that the use of CFD can effectively reduce the number of experimental samples and measurements. The FEM method is applied in Wei et al. (2006), under a turbulent flow assumption, to explore its reliability in the comparison of several labyrinth channel designs. Wu et al. (2013) analyse the effectiveness of the standard k-ε model and the large eddy simulation (LES) method in simulating the fluid dynamics inside drip irrigation emitters and concluded that the LES model is more effective.A potential candidate for the direct simulation (i.e., without turbulence modelling) of fluid flow in the micro-channels of drip emitters is the Lattice Boltzmann method (LBM), a powerful technique for the computational modelling of a wide variety of complex fluid flow problems (Benzi e...