Certainty-Independent Aspects in Fluid Mechanics: Fundamental Laws and Universal Behaviours
K. Chinnadurai *
Department of Mathematics, AMET University, Kanathur, Chennai, India.
Salahuddin
Department of Mathematics, AMET University, Kanathur, Chennai, India.
*Author to whom correspondence should be addressed.
Abstract
This chapter explores certainty-independent parts of fluid mechanics, focusing on fundamental concepts that are true regardless of specific initial conditions or parameter uncertainty. It examines how robust frameworks for comprehending fluid behaviour are supplied by conservation laws, dimensional analysis, similarity solutions, and stability theory without requiring exact knowledge of every system variable. The research demonstrates that many fluid processes have universal characteristics that transcend specific experimental configurations, offering reliable forecasting capabilities in a range of applications. Through theoretical analysis and case examples, the importance of these certainty-independent components in both fundamental research and practical engineering applications is highlighted.
Keywords: Fluid mechanics, fundamental laws, fluid behaviour, conservation laws