Analyzing Ocean Currents on Icy Moon
Research Period
Jan 2022 – August 2022
Research Guidance
Guidance under John Marshall, Massachusetts Institute of Technology (MIT)
Research Focus
Context
This research investigates the impact of rotational dynamics on ocean currents within icy moons, specifically Enceladus and Europa. I explored how these dynamics influence the movement of nano-sized silica particles from the ocean floor to the surface.
Hypothesis
The central hypothesis was that the rotation of Saturn’s moons and their ocean depths significantly affect ocean currents, which in turn influence the transit times of nano-sized silica particles. We specifically hypothesized that particles within the “tangent cylinder”—a region influenced by the planet’s rotation around its rocky core—would exhibit different movement characteristics compared to those outside this cylinder due to the rotational fluid dynamics.
Motivation
I selected this research to build foundational knowledge in planetary science, focusing on the physical processes governing the oceans of icy moons like Enceladus and Europa. This project allowed me to integrate rotational fluid mechanics, planetary science, and data analysis, contributing to the broader goal of understanding potential extraterrestrial habitats.
Problem Breakdown
The research problem was deconstructed into several manageable tasks: 1. Tangent Cylinder Dynamics: Studied how the unique dynamics within the tangent cylinder influence particle behavior. 2. Analysis of Particle Movement: Investigated how rotational fluid dynamics affect the transit of silica particles. 3. Parameter Relationships: Examined the relationship between the Rossby number and particle transit times.
Quantifiable Outcomes
1. Rossby Number and Transit Time: I established that the Rossby number, which is a function of ocean depth and moon rotation rate, plays a crucial role in particle movement. My findings verified that: – For small Rossby numbers (Ro* << 1), the normalized transit time of particles follows a power law, specifically Ro*^(-3/2). – For large Rossby numbers (Ro* >> 1), the transit time follows a different power law, Ro*^(-2/3). (See the accompanying graph for detailed results.) 2. Dynamics Within the Tangent Cylinder: Particles inside the tangent cylinder exhibited distinct transit times and displacement patterns compared to those outside, due to more vigorous current systems. This suggests that rotational dynamics within the tangent cylinder significantly influence particle distribution and deposition.
Skills Acquired
1. Data Analysis: Developed skills in handling large datasets, particularly time-series data essential for tracking particle movement. This skill was critical for interpreting complex graphs and charts. 2. Problem Decomposition: Gained experience in breaking down complex research problems into iterative, manageable tasks, as reflected in the step-by-step analysis presented in the research. 3. Parameter Relationships: Learned to derive and interpret relationships between non-dimensional parameters like the Rossby number, enhancing my understanding of fluid dynamics and planetary science. 4. Visualization and Interpretation: Developed expertise in visualizing complex data through graphs, charts, and animations, enhancing my ability to communicate research findings effectively.
Key Learnings
1. Rotational Fluid Mechanics: Acquired a deep understanding of how rotational forces influence fluid motion, crucial for modeling planetary phenomena and understanding the Coriolis effect. 2. Data Analysis from Numerical Simulations: Honed skills in analyzing simulation data, identifying patterns, and validating theoretical predictions about particle behavior in varying conditions. 3. Numerical Modeling and Simulation: Gained foundational knowledge in numerical modeling, including grid-based methods and the discretization of fluid motion equations. 4. Application of Theory: Applied theoretical knowledge from planetary science and fluid mechanics to practical problems, reinforcing the real-world applicability of these theories in planetary exploration and the search for extraterrestrial life.