Abstract
The present work aims at finding an optimized expli cit finite difference scheme for the solution of problems involving pure heat transfer f rom the surfaces of Pangasius Sutchi fish samples suddenly exposed to a cooling environment. Regular shaped packages in the form of an infinite slab were considered and a generalized mathematical model was written in dimensionless form. An accurate sample of the data set was chosen from the experimental work and was used to seek an optimized scheme of solutions. A fully explicit fin ite difference scheme has been thoroughly studied from the viewpoint of stability, the required time for execution and precision. The characteristic dimension (half thickness) was divided into a numbe r of divisions; n = 5, 10, 20, 50 and 100 respectively. All the possible options of dimension less time (the Fourier number) increments were taken one by one to give the best convergence and t runcation error criteria. The simplest explicit fin ite difference scheme with n = (10) and stability facto r (ΔX) 2 /Δτ = 2) was found to be reliable and accurate for prediction purposes.
Highlights
Because of its relative simplicity, the finite difference method is more popularly used to solve the Transient heat transfer takes place in many engineering applications
The most complicated heat transfer problems are successfully solved by using either finite difference or finite element techniques. These numerical methods are transient heat transfer problems related to food processors
Calculations have been done for air-cooling with only heat transfer boundary condition
Summary
Because of its relative simplicity, the finite difference method is more popularly used to solve the Transient heat transfer takes place in many engineering applications. These include machining, cutting, grinding, casting, molding and heat treatments of metals and non-metals, cooling of electronic and computer components, precooling and refrigeration of food commodities and numerous other processes. A number of investigators have used finite difference methods for solving problems with pure convective heat transfer from the surface of solid food producers. Major works are those reported by[1,2,3,4]. These models give satisfactory results during air blast cooling of wrapped, capable of handling any type of boundary condition and packaged or tinned foods or during hydro cooling
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