Special Session 83: 

Lie group analysis of an internal flow and heat transfer inside a combustion chamber of a solid rocket motor

Gabriel G Magalakwe
North-West University
So Africa
Co-Author(s):    Karabo Modise, Gabriel Magalakwe
Abstract:
In this talk, we present semi-analytical solutions for flow and heat transfer during solid rocket motor operation. Proficient modelling process is followed to construct a mathematical representation of flow and heat transfer during solid rocket operation. Lie group analysis along with double perturbation method is used to carry out the integration of the problem at hand. According to the dynamics of solid rocket motor operation, effects of forces affecting velocity and temperature such as cross-flow Reynolds number Re, wall expansion ratio, Grashof number Gr, Prandtl number Pr and radiation R are represented graphically. Lastly, analysis is performed to seek the best combination of dimensionless parameters that lead to optimal thrust during operation.