Unsteady Natural Convection Heating of a Canned Non-Newtonian Liquid Food

Author(s):  
Nelson O. Moraga ◽  
Luis A. Silva ◽  
Alfonso Ortega

This paper is concerned with the modeling of complex thermal-fluid phenomena that arises during the process of sterilization of canned food. In the sterilization process, food contained with a typical cylindrical can is subjected to a sudden change in temperature as the can is immersed in a steam bath at saturation temperatures of the order of 120 degrees C. Because of this transient heating event, complex transient buoyant motion is initiated in the can and therefore the heating of the food is as a result of diffusion and buoyant or natural convection processes. A Finite Volume method was used to investigate the unsteady two dimensional (axisymmetric) natural convection of a non-Newtonian liquid food during sterilization. The non-Newtonian liquid food was modeled using carboxy-methyl cellulose. Because its apparent viscosity depends on both temperature and non-linear velocity gradients, the resulting mathematical formulation is highly non-linear, thereby requiring a highly coupled implementation of the Finite Volume Method. Transient two dimensional velocity and temperature fields were obtained for different heating conditions and can aspect ratios. It was found that lower can aspect ratios and lower index n generally lead to shorter sterilization times.

Author(s):  
Roque Corral ◽  
Javier Crespo

A novel high-order finite volume method for the resolution of the Navier-Stokes equations is presented. The approach combines a third order finite volume method in an unstructured two-dimensional grid, with a spectral approximation in the third dimension. The method is suitable for the resolution of complex two-dimensional geometries that require the third dimension to capture three-dimensional non-linear unsteady effects, such as those for instance present in linear cascades with separated bubbles. Its main advantage is the reduction in the computational cost, for a given accuracy, with respect standard finite volume methods due to the inexpensive high-order discretization that may be obtained in the third direction using fast Fourier transforms. The method has been applied to the resolution of transitional bubbles in flat plates with adverse pressure gradients and realistic two-dimensional airfoils.


2014 ◽  
Vol 2014 ◽  
pp. 1-15 ◽  
Author(s):  
M. Goodarzi ◽  
M. R. Safaei ◽  
A. Karimipour ◽  
K. Hooman ◽  
M. Dahari ◽  
...  

Different numerical methods have been implemented to simulate internal natural convection heat transfer and also to identify the most accurate and efficient one. A laterally heated square enclosure, filled with air, was studied. A FORTRAN code based on the lattice Boltzmann method (LBM) was developed for this purpose. The finite difference method was applied to discretize the LBM equations. Furthermore, for comparison purpose, the commercially available CFD package FLUENT, which uses finite volume Method (FVM), was also used to simulate the same problem. Different discretization schemes, being the first order upwind, second order upwind, power law, and QUICK, were used with the finite volume solver where the SIMPLE and SIMPLEC algorithms linked the velocity-pressure terms. The results were also compared with existing experimental and numerical data. It was observed that the finite volume method requires less CPU usage time and yields more accurate results compared to the LBM. It has been noted that the 1st order upwind/SIMPLEC combination converges comparatively quickly with a very high accuracy especially at the boundaries. Interestingly, all variants of FVM discretization/pressure-velocity linking methods lead to almost the same number of iterations to converge but higher-order schemes ask for longer iterations.


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