On the discriminated nondimensionalization of coupled, non-linear ordinary differential equations and system of equations
 
 
Description:  The first step to simplify the analysis of a mathematical model is to search the dimensionless groups that control its solution pattern since the solution of any equation or system of equations that define the laws that rule a physical or engineering problem can be represented as a relation between these groups. One of the current techniques used to attain this aim is the nondimensionalization of the governing equations and boundary conditions of the problem. The nondimensionalization procedure is applied to coupled, ordinary differential equations and system of equations. It is very difficult to find works in which this technique is applied due to the difficulty of a good definition of the reference quantities that need to be chosen to make dimensionless the dependent and independent variables of the problem. It is carried out in this work applied to mechanics problems and the solutions reached by the dimensionless groups derived from nondimensionalization are checked by solving numerically these problems.
Date:  2015-07-24
Start Time:   14:30
Speaker:  Manuel Conesa (Univ. Politécnica de Cartagena, Spain)
Institution:  Universidad Politécnica de Cartagena, Spain
Place:  Room 5.5
Research Groups: -Analysis
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