Instructor: Harlan Bengtson

Credit Hours: 3.00

Approval Number: Not Required

### Course Description

This course is intended for hydrologists, civil engineers, hydraulic engineers, highway engineers, environmental engineers and mechanical engineers. After completing this course you will have knowledge about the equations for calculating area, wetted perimeter, and hydraulic radius for partially full pipe flow and equations for calculating the Manning roughness coefficient at a given depth to diameter ratio, with a known value of the Manning roughness coefficient for full pipe flow. Practice in the use of the Manning equation for a variety of partially full pipe flow calculations will be gained through several worked examples.

### Course Objectives

Upon completion of this course, the participant will be able to:
• Calculate the cross-sectional area of flow, wetted perimeter, and hydraulic radius for less than half full flow at a given depth in a pipe of given diameter.
• Calculate the cross-sectional area of flow, wetted perimeter, and hydraulic radius for more than half full flow at a given depth in a pipe of given diameter.
• Use Figure 6 in the course material to determine the flow rate at a given depth of flow in a pipe of known diameter if the full pipe flow rate is known or can be calculated.
• Use Figure 6 in the course material to determine the average water velocity at a given depth of flow in a pipe of known diameter if the full pipe average velocity is known or can be calculated.
• Calculate the Manning roughness coefficient for a given depth of flow in a pipe of known diameter, with a known Manning roughness coefficient for full pipe flow.
• Calculate the flow rate and average velocity for flow at a specified depth in a pipe of specified diameter, with known pipe slope and full pipe Manning roughness coefficient, using the Manning equation.
• Calculate the normal depth for a specified flow rate of water through a pipe of known diameter, slope, and full pipe Manning roughness coefficient.
• Calculate the minimum required pipe diameter for a specified flow rate of water through a pipe of known slope, full pipe Manning roughness coefficient and a target value for y/D.
• Calculate the required pipe slope for a specified flow rate of water through a pipe of known diameter, depth of flow, and full pipe Manning roughness coefficient.
• Calculate the value of the full pipe Manning roughness coefficient for a specified flow rate of water through a pipe of known diameter, slope, and depth of flow.
• Carry out the calculations in the above learning objectives using either U.S. units or S.I. units.

### Instructor Bio

Dr. Bengtson is a graduate of Iowa State University with B.S. and M.S. degrees and of the University of Colorado with a PhD. He is a licensed Professional Engineer in Missouri. He has spent 30 years in engineering education in teaching and administrative positions, including six years as Dean of Engineering at Southern Illinois University Edwardsville. His areas of expertise are environmental engineering, hydrology and hydraulics, engineering science and renewable energy systems. He did consulting work while holding the academic positions. Prior to entering academia, Dr. Bengtson worked for Minnesota Mining & Manufacturing as a Product Development Engineer and for E. I. duPont deNemours as a Process Development Engineer. Dr. Bengtson has authored numerous publications, presentations and technical reports. He is currently active in providing continuing education opportunities for Professional Engineers and is the founder of www.engineeringexceltemplates.com and www.EngineeringExcelSpreadsheets.com, sites with the objective of providing inexpensive, easy to use Excel spreadsheets for a variety of engineering calculations.

### Other Approvals

National Professional Engineer board: Not Required