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Modeling Scenario

6-070-BeerBubbles-ModelingScenario

Author(s): Michael Karls

Keywords: molecular forensics BEER Surface Area Volume bubble Newton' Second Law Ideal Gas Law drag force Hadamard Stokes spher

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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
Qualitative Analysis
Application Area
Course Level
Technology
Approach
Skills
Pedagogical Approaches
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).

 

Article Files

Authors

Author(s): Michael Karls

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