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This study verifies heat transfer predictions in an ice cream mixer using theoretical approximations. The ice cream, ice, and containers are modeled as a cylinder to analyze thermal resistance. Results show accurate data fitting until the freezing temperature of the ice cream. Further testing is recommended for precise measurements and control over the environment.
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Verification of Heat Transfer Predictions with Ice-cream By: Matt Munyan and Clifton Mortensen
Ice Cream Mixer Overview • The liquid ice cream is placed inside of the metal container with the mixer. • The metal cylinder is then placed inside the wood container. • Ice and salt are then packed in between the metal and wood. • Then the crank is put on and turned. • New ice and salt are continually put in to replace the exiting salt water mixture.
Problem Overview • We compared the time it takes for the ice cream to reach its equilibrium temperature against our theoretical approximations. • We modeled the ice cream, the ice and its container as a cylinder using the thermal resistance method.
Assumptions • Neglect Kinetic Energy effects (heat from viscous friction and convection) • Uniform ice cream temperature • Constant specific heat • Neglect effects from measuring temperature • Ice/salt cylinder at constant temperature (neglect melted ice) • q”=0 through the top and bottom surfaces • Approximate metal container as a thin wall
Conclusions and Recommendations • The model fits the data accurately until the freezing temperature of the ice cream where the temperature of the ice cream remains constant during the phase change. • Further study and testing is recommended with less intrusive measurement techniques and more control over environment. • A more exact method of finding the percentage of ice and salt is required.
Interior of Ice Cream Mixer Overhead Shot of Mixer