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6-070-BeerBubbles-ModelingScenario

Author(s): Michael Karls

Ball State University, Muncie IN USA

Keywords: molecular forensics BEER sphere bubble Newton' Second Law Ideal Gas Law drag force Hadamard Stokes mole

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Abstract

Resource Image The goal of this project is to set up and numerically solve a first-order nonlinear ordinary differential equation (ODE) system of three equations in three unknowns that models beer bubbles that form at the bottom of a glass and rise to the top.

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

Read the paper “Quenching a Thirst with Differential Equations” by Martin Ehrismann,  The College Mathematics Journal. 25(5):    413-418.

Outline Ehrismann’s development of a model for bubbles of CO2 in a glass of beer, including missing details (i.e. write down the mathematics, starting with initial assumptions, show how each equation follows from the previous equation, and end with the system of differential equations (3) on page 416 of the paper).

 

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Authors

Author(s): Michael Karls

Ball State University, Muncie IN USA

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