Simulation of the transport processes in a thermal manufacturing system using symbolic computation

D. Lombardi, Y. Jaluria, R. Viswanath

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


This paper presents a study on the simulation of a system for the thermal processing of materials, using symbolic computation. The governing equations are obtained as a system of ordinary and partial differential equations, after employing several simplifications and assumptions regarding the transport processes. A Prolog-based software is developed to undertake logical decisions, implement numerical constraints, discretize the governing equations, which are entered interactively by the user, and carry out symbolic computations. The software uses symbolic manipulations to classsify a given equation as an ordinary differential equation or as a partial differential equation of a particular type, and to decide on the numerical approach and the relevant numerical variables, such as grid size and time step. The Prolog program then obtains the relevant finite difference equations in symbolic form. The computations for the solutions are carried out by relevant algorithms stored in the various modules attached to the main program. The results obtained for a few typical circumstances are presented and the relevance of symbolic computation in such practical applications is discussed. The basic scheme employed for the symbolic computation of the relevant heat transfer processes is discussed in detail. Various other aspects that can be incorporated into such a scheme to fully utilize the power of symbolic computation are outlined.

Original languageEnglish (US)
Pages (from-to)155-166
Number of pages12
JournalEngineering Applications of Artificial Intelligence
Issue number2
StatePublished - Mar 1992

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Artificial Intelligence
  • Electrical and Electronic Engineering


  • Symbolic computation
  • expert systems
  • manufacturing systems
  • transport processes


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