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Quick Facts

Medium Of Instructions	Mode Of Learning	Mode Of Delivery
English	Self Study	Video and Text Based

Course Overview

The Introduction to interfacial waves online course is a study about the wider aspect of vibrations and oscillations along with the specific focus on the challenges in hydrodynamic stability. This National Program for Technology Enhanced Learning(NPTEL) online course is developed and offered by the Indian Institute of Technology(IIT) Bombay for students pursuing chemical engineering and mechanical engineering as an elective course.

The course instruction is conducted for twelve weeks and the course educator for this faculty development program is Dr. Ratul Dasgupta, an associate professor from the department of chemical engineering at IIT Bombay.

The students of this online training program are provided with three credit points and a course certificate. The course certificate consists of the logos of NPTEL and IIT Bombay adding more value to it. The online course on introduction to interfacial waves is provided on the Swayam education platform and is a postgraduate level program.

The Highlights

Twelve weeks program
Free training course
Online mode
Elective course
Three credit points
Postgraduate level program
AICTE approved course
NPTEL free online course
IIT Bombay faculty

Programme Offerings

videos
Course Modules
Lectures
Books
references
Free course access
assignments
Final Exam
Course Certificae
NPTEL and IIT Logos

Courses and Certificate Fees

Fees Informations	Certificate Availability	Certificate Providing Authority
INR 1000	yes	IIT Bombay

The students are provided with free access to the ‘Introduction to interfacial waves’ classes but will have to pay for the exam registration to receive the course certificate.

Introduction to the interfacial waves fee structure

Description	Amount in INR
Course Fee	Nil
Exam Fee	Rs 1000

Eligibility Criteria

Students with background knowledge of introductory transport phenomena or fluid mechanics are eligible to apply for this course.

Certificate qualifying details

For the course certificate, students are required to get a minimum average score of 10/25 (25%) in 8 out of 12 assignments and 30/75 (75%) in the final exam and have a final score of 40/100.

What you will learn

Knowledge of engineering

The Introduction to interfacial waves syllabus is oriented for the students to understand the wave phenomena and the mechanical analogs of wave phenomena in flid systems along with the following aspects,

Point mass systems connected through springs
Amplitude dependence of the frequency of the oscillator
Fundamental perturbation techniques
Shallow and deep-water approximations, phase and group velocity, frequency and amplitude dispersion
Capillary gravity waves
Lindstedt-Poincare method to explain stokes traveling wave
Resonant interactions among surface gravity

Who it is for

Chemical EngineerMechanical Engineer

The Introduction to Interfacial waves certification course is aimed at the professionals in the industry who are interested in learning about interfacial waves, such as chemical engineers, mechanical engineers, and the students pursuing chemical and mechanical engineering courses.

Admission Details

The admission for the course on ‘Introduction to interfacial waves’ by Swayam is done by registering online through the website.

Step 1: Go to the course page on the official website using the link,

https://onlinecourses.nptel.ac.in/noc21_ch53/preview

Step 2: Click on the Register/Sign-In button.

Step 3: Fill in the details on the registration form and complete the enrollment.

Application Details

Introduction to interfacial waves course applicants are required to enter the basic details such as name, phone number, and email address on the registration form or can sign in using their valid Google or Facebook ID.

The Syllabus

Introduction to waves and oscillations
Normal modes of linear vibrating systems with finite degrees of freedom
Eigenmodes (shapes of oscillation) and frequencies
continuum limit

Normal modes of a string with fixed ends
A clamped rectangular and circular membrane
Introduction to elliptic functions

Nonlinear pendulum: exact solution using elliptic integrals
Amplitude dependence of frequency,
Intro. to perturbation methods
Non-dimensionalisation

Perturbative solution to projectile equation
The regular perturbative solution to the non-linear pendulum
Lindstedt Poincare technique
Damped harmonic oscillator
Regular perturbation
Method of multiple scales

Multiple scales solution (contd..)
Duffing equation
Parametric instability and the Kapitza Pendulum
Introduction to Floquet theory

Mathieu equation stability tongues
Introduction to inviscid
Irrotational surface gravity waves in deep water
Boundary conditions
Non-dimensionalisation and linearisation
Dispersion relation

The general solution for surface gravity waves
Linearised standing and traveling waves
Phase and group velocity
Cauchy-Poisson problem for surface waves in deep water: rectilinear geometry
Waves in cylindrical geometry

Cauchy Poisson problem in cylindrical geometry
Cauchy-Poisson problem for delta function at origin and group velocity
Similarity solution
Stationary phase approximation
Capillary-gravity waves

Waves on finite depth pool
Shallow and deep water approx.
Group velocity and energy propagation
Axisymmetric Cauchy-Poisson problem with a Gaussian
Engineering applications
Rayleigh-Plateau instability

Waves and instability on a coated cylinder
Waves and instability on a cylindrical air column, physical
Interpretation
Shape oscillations of drops and bubbles
Physical interpretation of zero frequency

Applications of shape oscillation
Faraday instability on a fluid interface
Subharmonic response
Floquet analysis
Atomization from Faraday waves
Engineering applications, Waves on shear flows & Kelvin-Helmholtz

Stokes wave in deep water
Stability of Stokes wave (sideband instability)
Comparison of deep and shallow-water theory
Non-linear Schrodinger equation and KdV equation
Resonant interactions among water waves

Evaluation process

The final proctored certification exam is mandatory for issuing the certificate to the students.
The students with a minimum score of 30/75 (75%) in the exam are eligible to receive the certificate.
The exam registration and payment are done online through the website.