Courses » Modeling Transport Phenomena of Microparticles

Modeling Transport Phenomena of Microparticles

About the course

The aim of this course is to introduce the transport phenomena of microparticles like viscous drops, microorganisms, rigid colloids, soft particles involve in miro- and nano-fluidics. The course provides basic understanding of particular solutions of Navier-Stokes equations, application of Stokes stream function, introduction to governing equations of porous media and electro-hydrodynamics. Subsequently, glimpses of important applications like migration of viscous drops under external gradients, active motion of particles that model swimming microorganisms will be provided. Electrically driven flow in micro- and nano-scale will be introduced. Motion of charged colloids, soft particles mimicking bacteria, humic substances, under electric field in electrolyte or gel medium will be modelled. Numerical techniques to solve the equations governing the advection-diffusion transport will be introduced. The course will be supplemented with assignments on simpler problems related to transport phenomena.


Partial differential equations, Basic Fluid Mechanics,

Numerical Methods.

Industries that will recognize this course

ISRO; NAL; DRDO; CSIR- Institute of Minerals and Materials

Technology, Bhubaneswar ; CSIR-CSMCRI, Bhavnagar ( Gujarat)

Course instructor

G P Raja Sekhar is a Professor of Mathematics at IIT Kharagpur working in the area of Viscous flows and flow through porous media. He has published more than 50 publications in reputed international journals. He has completed several research projects sponsored by DST, CSIR. He has received INSA Young Scientist Medal, INSA-Royal Society fellowship, JSPS Post Doctoral Fellowship and Alexander von Humboldt Fellowship for Experienced Researchers. He has contributed one NPTEL video course on Numerical Solutions of ODE and PDE.


S. Bhattacharyya is a senior Professor of Mathematics at IIT Kharagpur working in the area of Computational Fluid Dynamics and Microfluidics Modelling. He has published more than eightyfive research papers in highly reputed international journals. He has completed several research projects sponsored by the DST, SERB and CSIR and has received several awards and fellowships for research collaboration in USA, UK and Germany, which includes the BOYSCAST, DST fellowship, EPSRC, UK fellowship, Max-Planck fellowship, Germany, DARPA, USA etc.


Course layout

Week 1: Basics of transport phenomena, Navier-Stokes equations

Week 2: Stokes Flow and applications

Week 3: Hydrodynamic phenomena of droplets

Week 4: Flow through porous media,  Darcy equation, Brinkman equation

Week 5: Electrokinetic Transport , Nernst-Planck equations, Debye-Huckel Approximation

Week 6: Electroosmosis, Debye layer overlap

Week 7: Numerical Methods for BVPs and PDEs

Week 8: Electrophoresis of colloids, Double layer polarization, Gel elctrophoresis

Certification exam:

• The exam is optional for a fee. Exams will be on 26 March, 2017.

• Time: Shift 1: 9am-12 noon; Shift 2: 2pm-5pm

• Any one shift can be chosen to write the exam for a course.

• 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.


• Final score will be calculated as : 25% assignment score + 75% final exam score.

• 25% assignment score is calculated as 25% of average of 8 weeks course: Best 6 out of 8 assignments.

• E-Certificate will be given to those who register and write the exam and score greater than or equal to 40% final score. 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 KHARAGPUR. It will be e-verifiable at nptel.ac.in/noc.