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ME 5310: Incompressible Fluid Flow
Department of Mechanical & Aerospace Engineering
IIT Hyderabad

Instructor: Harish Dixit
Lectures: Every Monday (4:00 pm - 5:30 pm) and Thursday (2:30 pm - 4:00 pm)
Venue: Room 111
TA's: Yashwanth and Tejasvi Hegde
Office: C-411
Phone: 040-23016662
Email: hdixit(at)mae.iith.ac.in

GRADING and EXAMS: Grading will be based on your performance in the assignments, a mid-term exam and a final exam.

Broad goals of the course
  • Build a strong foundation in all the important aspects of advanced fluid mechanics.
  • Gain a good grasp of the physical concepts driving various flow phenomenon.
  • Learn to think conceptually about any flow that you encounter.

    Key concepts that you will be expected to master by the end of this course
  • A sound grasp of index notation to manipulate vectors and tensors
  • Understand the concept of a stress tensor
  • Derive the PDE's governing conservation mass, momentum and energy.
  • To non-dimensionalize governing equations and obtain relevant non-dimensional groups
  • Understanding the relevance of various terms in the governing equations
  • Obtain exact solutions of Navier-Stokes equations and understand the assumptions involved
  • A decent understanding of boundary layer theory and a working knowledge of turbulence

    List of topics to be covered:
    Tensors, Lagrangian and Euler frames of reference; Material derivative; Newton's law of viscosity; velocity potential and stream function; Derivation of continuity equation; potential flows; Euler equations; Derivation of Navier-Stokes equations; Elliptic & Parabolic equations; boundary conditions; Analytical solutions of NS equations; Boundary layer Theory; Similarity solutions; Approximate methods; Turbulence; RANS equations; Introduction to Turbulence modelling; Non-dimensionalization, and non-dimensional parameters

    References:
    (i) Incompressible Flow by R. L. Panton, Wiley
    (ii) Fluid Mechanics by P. K. Kundu, I. M. Cohen and D. R. Dowling, Academic Press
    (iii) Viscous Fluid Flow by Frank M. White, McGraw-Hill
    (iv) Elementary Fluid Dynamics by D. J. Acheson, Oxford University Press
    (v) An Introduction to Fluid Dynamics by G. K. Batchelor, Cambridge University Press
    (vi) Multimedia Fluid Mechanics (DVD) by G. M. Homsy et al., Cambridge University Press
    (vii) MIT-OCW, Advanced Fluid Mechanics: http://ocw.mit.edu/courses/mechanical-engineering/2-25-advanced-fluid-mechanics-fall-2005/
    (viii) NPTEL - Fluid Mechanics: http://nptel.ac.in/courses/112105171/



    Useful suggestions and course policies:
    You are strongly advised to sincerely work out all the details of your class notes again at home. You use the same mantra for your assignments as well. If you don't take your assignments seriously, you are very likely to face great difficulty in solving final exam problems.

    Notes: You are fully responsible for taking all the necessary notes during class. I cannot promise to provide you with any hand-outs.

    Assignment: Assignments are to be submitted before the class begins on the due date. Failing to submit an assignment will normally result in a mark of zero. Exceptions may be granted in two cases: prior consent of the instructor or a medical emergency. In the latter case, the instructor must be notified as soon as possible (preferably before the day of submission), and presented with a doctor's note immediately upon the student's return to IITH.