College
College of Engineering and Polymer Science
Date of Last Revision
2023-05-04 19:47:11
Major
Chemical Engineering
Honors Course
4200:497
Number of Credits
2
Degree Name
Bachelor of Science
Date of Expected Graduation
Spring 2021
Abstract
Correlations were developed between the Modified Ergun’s and Hindered settling correlations under the condition of dense packing of particles in the bed. As the porosity of the slurry increases, so does the interference between particles in the solution which mimics the behavior of a packed or densely concentrated fluidized bed. The similarity between the two sets of conditions was modeled using mathematical equations to calculate settling velocities and pressure drops by means of the Hindered Settling correlations and Modified Ergun’s equation at porosities ranging from 0.4242 to 0.89. The results showed that a porosity of 0.52 and 0.009 ft particle diameter yielded results with a 0.3% deviation. However, as porosity was held constant and particle size was manipulated, the modified Ergun’s equation and hindered settling correlations produced direct and indirect relationships with particle size respectively. This disproved the hypothesis that the equations would produce similar results for particle velocity at a constant porosity. An experiment was designed by 3-D printing arrays of particles with porosities of 0.4242, 0.52, and 0.69 and compared to the theory. The results match theoretical expectations, and the measured values varied from theory by 29.9%, -3.03%, and -31.2% for porosities of 0.4242, 0.52, and 0.69, respectively.
Research Sponsor
Dr. George Chase
First Reader
Dr. Bi-min Zhang Newby
Second Reader
Dr. David Bastidas
Honors Faculty Advisor
Dr. Bi-min Zhang Newby
Recommended Citation
Zahniser, Ryan, "Relating Modified Ergun's Equation to Hindered Settling Correlations" (2021). Williams Honors College, Honors Research Projects. 1295.
https://ideaexchange.uakron.edu/honors_research_projects/1295