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 phenomenaPREREQUISITES: 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
Similitude And Approximations In Engineering
Indian Institute of Technology Delhi and NPTEL via Swayam
This course may be unavailable.
Overview
Syllabus
Week 1: Introduction
Science and physical properties , Dimensions of physical quantities, Nature of quantitative investigations, Variables and parameters, Concept of similitudeWeek 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 numbersWeek 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 convectionWeek 4:Scale factor or law approach,
Inter-relationships between scale factors for kinematic dynamic quantities, Obtaining modelling and prediction rules through law approachWeek 5:Basis of approximations,
estimation, regular and irregular approximation, Examples include estimating time for baking potatoes, spreading of oil slick, flow pat an oscillation sphereWeek 6:Self-similarity:
Stokes first and second problems, nuclear explosion, Blasius and Falkner- Skan profilesWeek 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 modelsWeek 8:Detailed Case Studies ,
Aerodynamic testing of tall Chimneys, Studying human voicing by slowing down motion and by making 10x models, Filtration
Science and physical properties , Dimensions of physical quantities, Nature of quantitative investigations, Variables and parameters, Concept of similitudeWeek 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 numbersWeek 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 convectionWeek 4:Scale factor or law approach,
Inter-relationships between scale factors for kinematic dynamic quantities, Obtaining modelling and prediction rules through law approachWeek 5:Basis of approximations,
estimation, regular and irregular approximation, Examples include estimating time for baking potatoes, spreading of oil slick, flow pat an oscillation sphereWeek 6:Self-similarity:
Stokes first and second problems, nuclear explosion, Blasius and Falkner- Skan profilesWeek 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 modelsWeek 8:Detailed Case Studies ,
Aerodynamic testing of tall Chimneys, Studying human voicing by slowing down motion and by making 10x models, Filtration
Taught by
Prof. Vijay Gupta
