Dripping Faucet: Investigating Inter-Drop Patterns

Exploring the physics of water droplets and their chaotic behavior.

About Me

I am Rishikesh Sah, a high school student at Viswa Niketan Secondary School. This project delves into the fascinating fluid dynamics of a dripping faucet.

Introduction

The dripping faucet is a common yet complex phenomenon governed by principles of fluid dynamics. The timing between drops can be predictable or chaotic, influenced by surface tension, viscosity, gravity, and other factors. This study examines the effects of these variables on drop formation.

Experimental Setup

The setup includes a piezo-based sensor to detect drop impact, an Arduino for timestamp recording, and Python for data analysis and visualization. The equipment used includes:

Key Physics Principles

Observations & Results

Effect of Salt Concentration

Adding salt increases water density, reducing surface tension and making drops detach faster. Higher salinity weakens cohesive forces, accelerating droplet formation.

Normal Water Graph Slightly Salted Water Graph Highly Salted Water Graph

Temperature Impact

Higher temperatures reduce water’s viscosity and surface tension, allowing faster and smaller drops. Heat weakens hydrogen bonds, making drop detachment easier.

Cold Water Graph Lukewarm Water Graph Hot Water Graph

Soap Solution

Soap molecules break surface tension by interfering with water's cohesive forces. Instead of discrete droplets, water flows in a continuous stream.

Water level Graph

Effect of Water Level

Higher water levels exert more pressure, forcing drops to form faster. As the water level drops, pressure decreases, lengthening inter-drop time.

Water level Graph

Chaotic vs Predictable Behavior

At low flow rates, drops form at steady intervals. Increasing flow rate causes slight variations, and at a certain point, the system becomes chaotic, with unpredictable drop intervals.

Non-Chaotic Flow Graph Chaotic Flow Graph

Conclusion

This experiment demonstrates how changes in fluid properties significantly affect drop formation. Understanding these dynamics has applications in medical IV drips, fluid engineering, and chaos theory research.