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1-029-ConeToCubeFlow-ModelingScenario

Author(s): Sania Qureshi

Keywords: water flow Torricelli's Law cone cube

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Abstract

Resource Image An inverted right circular cone with a hole at the bottom is suspended above an open-topped cube which also has a hole in the center of the bottom. The cone is filled with water and we model water flow from cone to cube and out the bottom of the cone.

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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

Consider the following configuration. We have an inverted (point down) right circular conical tank, with a top (base) radius R meters and a total height of H meters, filled with water to a height of h meters.

There is a circular hole of radius rC meters at the very bottom of the cone from where water flows out of the cone.

This water falls into an open-topped cubicle tank sitting directly below the cone.

Finally, this cubicle tank also has a circular hole at the center of its base with radius rB meters and water flows out of the bottom cubicle tank.

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Authors

Author(s): Sania Qureshi

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