3 research outputs found

    A pressure correction local defect correction algorithm for laminar flame simulation

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    We have developed a numerical simulation code for laminar premixed flames, based on the isobaric model. The main numerical techniques employed are: the finite volume method in combination with an exponential flux approximation scheme for space discretisation, a pressure-correction (PC) method to decouple the computation of the velocity and pressure and a multi-level local defect correction (LDC) method to solve the resulting boundary value problems (BVPs). The pressure correction scheme we use [2] is based on the expansion equation "nabla cdot v = s", where the source term s describes expansion of the gas mixture due to combustion, whereas classical pressure correction methods are based on the continuity equation. As a result of the PC algorithm, we obtain a set of BVPs, characterised by a high activity region, i.e. the flame front, where virtually all reactions and heat production take place. We solve these BVPs using the LDC method. LDC is an iterative multilevel method to solve BVPs characterised by a high activity region [1]. Roughly speaking, the method works as follows. In the first stage of the method, we compute a solution on a relatively coarse global grid. Second, from this coarse grid solution we determine the high activity region, cover it with a much finer grid, an recompute the solution there. Boundary conditions for this local problem are provided by the coarse grid solution. Next, we compute from the fine grid solution a defect that is subsequently used to improve the coarse grid solution. The method can be extended recursively to include several levels of refinement. Finally, this procedure is repeated several times in an iterative fashion. Convergence of LDC is usually very fast, typically only one or two iterations are needed. The combined PC LDC algorithm has the following advantages. First, the computation of the pressure and velocity is decoupled. Second, the number of control volumes can be reduced significantly, and third, we only have to solve BVPs on simple (uniform, rectangular) grids. Uniform grids have several advantages: accurate discretisation methods exist and efficent iterative solution methods for the resulting algebraic systems are available. We have applied the method to a two-dimensional methane/air flame, and compared the results with the local uniform grid refinement (LUGR) method

    An ultrasonic shear wave viscometer for low viscosity Newtonian liquids

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    A method based on ultrasonic wave propagation is applied for the determination of the viscosity of low viscous liquids. A waveguide is used to remotely transmit the ultrasonic waves from a shear piezoelectric transducer into the liquid. At the solid-liquid interface, a guided wave mode, the shear mode, is used to extract the liquid viscosity. The energy of the reflected ultrasonic wave depends upon its operating frequency, the physical properties of the liquid (viscosity and density), and the waveguide (density and shear modulus). The results show that the attenuation of the waves, and thus the viscosity of the liquid, can be retrieved using this method. Measurements on water, ethanol, and mixtures of water/glycerol illustrate that the method can monitor changes in attenuation due to the viscosity of the liquid. The range of viscosities measured was between 0.8 and 60 mPa s. Compared to literature values, the relative error for these measurements was lower than 12% while the uncertainty in the measurements was lower than 5%. Besides its ability to measure low viscosities, this method offers advantages such as the capability to perform in-situ measurements of liquids in harsh environments, the omission of mechanical parts, and the possibility to handle small volumes of liquid. These features make this method suitable for low viscous liquids that are radioactive, corrosive and at high temperature. RST/Reactor Physics and Nuclear MaterialsRST/Technici PoolImPhys/Computational ImagingRST/Radiation, Science and Technolog
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