September 21, 2023

Mass Conservation Law and Some Related Results

In this talk, we will derive Mass Conservation Law using some mathematical concepts like Differentiation, Integration, Taylor's Expansion, and Divergence Theorem. We will present simplified form of this law for incompressible fluids and explore it in three coordinate systems, namely, Cartesian , Cylindrical and Spherical. We will introduce gradient, divergence, curl as they appear in our derivations. Then, we will show that for irrotational flow with incompressible fluids, mass conservation satisfies the Laplace Equation. Finally, we also present this equation in those three coordinate systems.

About the speaker

Mr. Saugata Ghosh has completed his masters from Indian Institute of Engineering Science and Technology (IIEST) in India. He has joined University of Texas Rio Grande Valley (UTRGV) this fall as a PhD Student, based out of the Edinburg campus. He has received the Presidential Research Fellowship starting in Fall 2023. His research interests are focused on computational mathematics.