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Dimensional Analysis and Similitude for Researchers, Scientists, and Professionals

Subtitle: A comprehensive study on dimensional analysis and similitude to assist researchers, scientists, and professionals in understanding the derivation of new dimensionless numbers and their significant applications to science and engineering.

NOC Number: 22301 Mechanical engineering technologists and technicians

Dr. M. Enamul Hossain | Author Level 1

What You Will Learn

Course Learning Outcome (CLO):

Students who will complete this course can achieve the following course learning outcomes (CLOs):

  • CLO1: Ability to show how to use dimensional analysis to specify the least amount of data needed to study the behavior of a fluid experimentally.

  • CLO2: Ability to identify the dimensions and units and verify the dimensional homogeneity of the relationship.

  • CLO3: Ability to determine whether equations are dimensionally homogeneous.

  • CLO4: Apply dimensional analysis to predict formulas which connect variables in given circumstances.

  • CLO5: Ability to analyze a process for deriving new dimensional groups.

  • CLO6: Ability to understand how the flow behavior depends on the types of forces that influence the flow and to present essential sets of dimensionless numbers that involve these forces.

  • CLO7: Ability to analyze the dimensional analysis procedure by obtaining groups of dimensionless numbers using the Buckingham π-theorem.

  • CLO8: Ability to analyze the prototype and model to scale up or down.

  • CLO9: Ability to develop and identify new dimensional numbers in the respective fields of study.

  • CLO10: Using the prototype and model flows, the ability to compare the parameter values between the two flows and make experimental design changes to achieve the similitude requirements.

  • CLO11: Ability to plan and carry out experiments and enables one to scale up results from model to prototype.

  • CLO12: Identify the important dimensionless groups of variables, reduce the model to a minimal form, and make it easy to assess the asymptotic behavior of the system.

  • CLO13: The ability to identify the forces that govern the physical processes and choose the relevant dimensionless parameters to simplify the experimental setup when faced with a flow problem.

  • CLO14: The ability to design a model to investigate relevant physical processes and mechanisms through experiments using engineering judgment, which is necessary for the prototype flow.

  • CLO15: After understanding units and dimensions, conduct dimensional analysis to derive important dimensionless parameters.

  • CLO16: By combining the experimental data and dimensionless parameters, the ability to develop relationships for the parameter of interest.

Keywords:

Dimensional analysis, similitude, analysis and design, important dimensionless numbers, Buckingham π-theorem, viscous flow, enclosed surfaces, Reynolds number, Euler number, Aeroelasticity number, Bagnold number, Bingham number, Biot number, Bond (Eötvös) number, Boussinesq number, Brinkman number.

Course Description:

This course introduces the audience to the fundamental concepts and an in-depth analysis of dimensional analysis and similitude, similarity, model, and prototype. The course covers the fundamental aspects of the topic and offers a comprehensive research guideline for researchers and professionals. It focuses on the dimensions and units, types of similitudes, typical forces and dimensionless parameters, principles, parameterization development, applications of dimensional analysis and similarity. This course further examines topics such as dimensional analysis, significant dimensionless numbers including a list of numbers in general, the Buckingham -theorem, Buckingham theorem some general considerations related to dimensional analysis, similitude, and an in-depth analysis of how to develop new dimensionless numbers through seven research articles of Prof. Hossain (Lecture 8 to 14). Concepts, theory, and real-world examples are blended through clear lecture notes, live sessions, learning activities, understanding questions, and research articles. Several case studies are also included to relate and apply the theoretical and conceptual material learned in the course to a real-world example. 

         The course explains each concept in detail with enough guidelines, examples, and illustrations by employing different fields of application in research articles. This approach will make the students master developing and identifying new dimensional numbers in their respective fields of study. 

         This course is a foundation, resource guide and an excellent source for science and engineering students, early career professionals, scientists, researchers, and executives who want to learn concepts, design, dimensions, and in-depth investigations through enough practices of the theories and examples of derivations with critical examinations. The course is designed for individuals and students who need to understand the basics of subjects matter too. The course contains a total of seven lectures, and seven research articles where each lecture comprises 15 to 30 PowerPoint presentation slides and pdf documents. The course is also designed with three quizzes and one project.

2 Natural and applied sciences and related occupations
22 Technical occupations related to natural and applied sciences
223 Technical occupations related to engineering
2230 Technical occupations in civil, mechanical and industrial engineering
22301 Mechanical engineering technologists and technicians

The importance of taking NOC courses:

This course is designed to train our students to find jobs in the Canadian labour market using the National Occupational Classification (NOC) and its codes. The Government of Canada developed the NOC to categorize occupational information in the Canadian labour market through a standardized framework and a system that can be easily managed, understood, and unified. Canadian Immigration (i.e., IRCC) uses the NOC to classify jobs and occupations according to specific skill levels. Canada's jobs are ranked according to a person's work and the roles and responsibilities of the job.

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Meet Your Instructor

Instructor
5.0 Rating
22 Students
Author Level 1
39 Courses
About Instructor

Prof. M. Enamul Hossain

CEO & President, and

NSRIC Chair in Sustainable Energy

Prof. Mohammed Enamul Hossain is the founder, CEO & President of NSRIC Group. He is also the NSRIC Chair Professor in sustainable energy at the Engineering (ENG) Unit of OE Division. In addition to his current affiliation with NSRIC, he holds adjunct Professor positions in some other universities. Prof. Hossain is the founder and the Chairman of NSRIC International School in Toronto (NIST), NSRIC International College in Toronto (NICT), Canada and the World Association of Nature Science, Education and Engineering (WANSEE), Canada. He is also CEO of NSRIC Green Supplies Inc., Canada, and the founder of International Conferences on Nature Science and Engineering Applications (ICNSEA), Canada, a conference series. Prof. Hossain was the managing director and director of Aziza Consulting and Construction Ltd. in Bangladesh and BrightCoral, Canada, respectively. He was the President of ANS Research and Development Inc., Canada. Prof. Hossain has been the Founder and Chairman of a Charitable organization, Aziza Trust, since 2009, through which he is serving mankind and established NSRIC Education City in Chattogram, Bangladesh, to offer education to unprivileged students. Prof. Hossain also worked in different administrative and technical positions in the oil industry for about ten years. He is an internationally recognized scientist and expert in sustainability and environmental science. Furthermore, he has been recognized as a renowned petroleum engineering consultant in the oil and gas industry, aiming to promote the greening of the petroleum industry. Prof. Hossain offered many training programs and courses at different organizations globally, such as Saudi Aramco, ONGE, Kuwait Oil, BPI, Qatar Petroleum, Petronas and ADNOC through different training organizations.  

              In 29+ years of professional career, Dr. Hossain has a diversified and very rich record of leadership, management, business development, teaching, research, and technical achievements. Prof. Hossain is an expert and scientist well-known for his work on environmental and sustainability related to petroleum engineering and energy. Prior to his current position, Prof. Hossain was the first Statoil Chair Professor at Memorial University of Newfoundland (MUN) in St. John’s, Newfoundland, Canada. He held different academic and administrative positions at MUN, Canada; Ryerson University, Canada; King Fahd University of Petroleum and Minerals (KFUPM), Saudi Arabia; Dalhousie University, Canada; Sultan Qaboos University (SQU), Oman; American University in Cairo (AUC), Egypt; Chittagong University of Engineering & Technology (CUET), Bangladesh; and Nazarbayev University, Kazakhstan. Moreover, he served as an adjunct Professor at many universities worldwide and worked at different universities. He is recognized as one of the most successful entrepreneurs and academic leaders. He also established his high research skills in petroleum engineering and sustainable energy, securing over US$16.9 million in research funding. The funding agencies include Statoil, Saudi Aramco, NSTIP, NSERC, RDC, KFUM, MUN, and AUC. Prof. Hossain’s main contribution to the industry is introducing the first-time memory concept for a petroleum application and US patents.

              Prof. Hossain earned a BSc in Mechanical Engineering from the Bangladesh University of Engineering and Technology (BUET) in 1995 and an MSc in Petroleum and Mineral Resources Engineering from a collaboration between the University of Alberta and BUET in 2001. Dr. Hossain was awarded PhD in sustainable Petroleum Engineering in 2008 and an MBA degree in 2009, both from Dalhousie University, Nova Scotia, Canada. 

              This philanthropist scholar and philosopher authored ten books on different areas of sustainability and petroleum engineering with Elsevier and Wiley and Scrivener Publishing, USA. He authored/co-authored over 200+ scientific articles. In addition, Prof. Hossain has 11 US patents, some of which are in the commercialization process.

 

Section Name Lecture Name Lecture Date Lecture Time
(Toronto, Canada - EST Time)
Lecture Time
(Local Time)
Section 1 (Previous) Lecture 1 Fri-09-Feb-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 2 Sun-11-Feb-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 3 Tue-13-Feb-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 4 Fri-16-Feb-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 5 Sun-18-Feb-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 6 Tue-20-Feb-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 7 Fri-23-Feb-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 8 Sun-25-Feb-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 9 Tue-27-Feb-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 10 Fri-01-Mar-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 11 Sun-03-Mar-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 12 Tue-05-Mar-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 13 Fri-08-Mar-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 14 Sun-10-Mar-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 15 Tue-12-Mar-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Section 1 (Previous) Lecture 1 Fri-22-Mar-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 2 Sun-24-Mar-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 3 Tue-26-Mar-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 4 Fri-29-Mar-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 5 Sun-31-Mar-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 6 Tue-02-Apr-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 7 Fri-05-Apr-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 8 Sun-07-Apr-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 9 Tue-09-Apr-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 10 Fri-12-Apr-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 11 Sun-14-Apr-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 12 Tue-16-Apr-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 13 Fri-19-Apr-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 14 Sun-21-Apr-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 15 Tue-23-Apr-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Section 1 (Previous) Lecture 1 Fri-03-May-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 2 Sun-05-May-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 3 Tue-07-May-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 4 Fri-10-May-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 5 Sun-12-May-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 6 Tue-14-May-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 7 Fri-17-May-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 8 Sun-19-May-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 9 Tue-21-May-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 10 Fri-24-May-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 11 Sun-26-May-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 12 Tue-28-May-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 13 Fri-31-May-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 14 Sun-02-Jun-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 15 Tue-04-Jun-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Section 1 (Previous) Lecture 1 Fri-14-Jun-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 2 Sun-16-Jun-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 3 Tue-18-Jun-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 4 Fri-21-Jun-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 5 Sun-23-Jun-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 6 Tue-25-Jun-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 7 Fri-28-Jun-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 8 Sun-30-Jun-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 9 Tue-02-Jul-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 10 Fri-05-Jul-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 11 Sun-07-Jul-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 12 Tue-09-Jul-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 13 Fri-12-Jul-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 14 Sun-14-Jul-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 15 Tue-16-Jul-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Section 1 (Current) Lecture 1 Fri-26-Jul-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 2 Sun-28-Jul-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 3 Tue-30-Jul-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 4 Fri-02-Aug-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 5 Sun-04-Aug-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 6 Tue-06-Aug-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 7 Fri-09-Aug-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 8 Sun-11-Aug-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 9 Tue-13-Aug-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 10 Fri-16-Aug-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 11 Sun-18-Aug-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 12 Tue-20-Aug-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 13 Fri-23-Aug-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 14 Sun-25-Aug-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 15 Tue-27-Aug-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Section 1 (Upcoming) Lecture 1 Fri-06-Sep-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 2 Sun-08-Sep-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 3 Tue-10-Sep-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 4 Fri-13-Sep-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 5 Sun-15-Sep-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 6 Tue-17-Sep-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 7 Fri-20-Sep-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 8 Sun-22-Sep-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 9 Tue-24-Sep-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 10 Fri-27-Sep-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 11 Sun-29-Sep-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 12 Tue-01-Oct-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 13 Fri-04-Oct-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 14 Sun-06-Oct-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
Lecture 15 Tue-08-Oct-24 10:00 PM to 11:00 PM 08:00 AM to 09:00 AM
video
  • Course Duration
    30 Hours 0 Minutes
  • Course Level
    Professional
  • Discipline
    Engineering (ENG)
  • Language
    English
This Course Includes
  • 1 Modules
  • 15 Lectures
  • 3 Quizzes
  • 1 Projects
  • Full Lifetime Access
  • Certificate of Completion