Similitude And Approximations In Engineering

By Prof. Vijay Gupta | IIT Delhi

Learners enrolled: 85 | Exam registration: 2

ABOUT THE COURSE:

This course introduces the tools required for computational and experimental investigations of complex phenomena. It introduces the beauty of similitude and self-similitude that lead to simplification of problems. The course is taught largely with examples and case studies in the area of fluid mechanics, heat transfer and viberations.

INTENDED AUDIENCE: For all students and researchers in the area of fluid mechanics, solid mechanics and transport phenomena

PREREQUISITES: The full benefit will be obtained by those students who have basic knowledge of fluid mechanics.

INDUSTRY SUPPORT: It forms the basis for experimental investigations in all engineering

Summary

Course Status :	Completed
Course Type :	Elective
Language for course content :	English
Duration :	8 weeks
Category :	Multidisciplinary
Credit Points :	2
Level :	Undergraduate/Postgraduate
Start Date :	21 Aug 2023
End Date :	13 Oct 2023
Enrollment Ends :	21 Aug 2023
Exam Registration Ends :	15 Sep 2023
Exam Date :	28 Oct 2023 IST

Note: This exam date is subject to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week 1: Introduction
Science and physical properties , Dimensions of physical quantities, Nature of quantitative investigations, Variables and parameters, Concept of similitude

Week 2: Obtaining modelling rules from governing equations and boundary
conditions, Example include damped oscillations, Transient conduction in an infinite slab, viscous fluid flows, significance of Euler Froude and Reynolds numbers

Week 3: Obtaing modelling rules from classical dimensional analysis of Bridgeman ,
Simple examples, Dimensional Analysis of Centrifugal Pumps, Obtininf Kepler's law dimensionally, Supplementing dimensionalm analysis with physical knowledge. Huntley's extension, Directional analysis, Example: Free convection

Week 4: Scale factor or law approach,
Inter-relationships between scale factors for kinematic dynamic quantities, Obtaining modelling and prediction rules through law approach

Week 5: Basis of approximations,
estimation, regular and irregular approximation, Examples include estimating time for baking potatoes, spreading of oil slick, flow pat an oscillation sphere

Week 6: Self-similarity:
Stokes first and second problems, nuclear explosion, Blasius and Falkner- Skan profiles

Week 7: Relaxation of modelling rules ,
Disregarding weak laws, Self-modelling; Sequential and segmented modelling, Regional modelling, directional modelling, Bypassing strong rules, restriction on generality, Simulating laws: dummy mass and dummy springs, Testing ship models

Week 8: Detailed Case Studies ,
Aerodynamic testing of tall Chimneys, Studying human voicing by slowing down motion and by making 10x models, Filtration

Books and references

1. Zahori, B, Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists, Springer, 2015
2. Emori, R and Schuring, D, Scale Models in Engineering, Pergamon Press, 1977
3. Santiago, Juan G., A First Course in Dimensional Analysis: Simplifying Complex Phenomena Using Physical Insight, The MIT Press, 2019

Instructor bio

Prof. Vijay Gupta

IIT Delhi

Vijay Gupta studied at IIT Delhi and at University of Minnesota. He was professor and Dean at IIT Kanpur, Director at Punjab Engineering College Chandigarh, Vice-chancellor at Lovely Professional University, Jallandhar, and at Sharda University, Greater Noida. His area of research interest include experimental aerodynamics and bio-fluid mechanics.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.

The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).

Date and Time of Exams: 28 October 2023 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.

Registration url: Announcements will be made when the registration form is open for registrations.

The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.

Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 6 assignments out of the total 8 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Madras. It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

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