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ME 2240: Fluid Mechanics **

Department of Mechanical & Aerospace Engineering

IIT Hyderabad

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Instructor: Harish Dixit
Lectures: Every Tuesday (2:30 pm - 4:00 pm) and Friday (4:00 pm - 5:30 pm)
Venue: Room C-LH3
TA's: Charul Gupta, Sidharth Pillai, Subhashish Guchhait, Nagula Anirudh, Anvesh Sangadi
Office hours: 2:00pm to 3:00 pm, every Thursday in my office, C-411
Phone: 040-23016662
Email: hdixit(at)mae.iith.ac.in
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GRADING and EXAMS:
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Grading will be based on your performance in the assignments, a mid-term exam and a final exam.
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**Broad goals of the course** Build a strong foundation on fundamental aspects of 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**

**Understand what a continuum means**

**Develop an understanding of hydrostatics, including principles such as buoyancy, stability of a floating body**

**Understand how to apply control volume analysis to solve fluid flow problems**

**Derive the basic PDE's for mass and momentum balance**

**Understand the concept of non-dimensionalization including the idea of "Similitude"**

**Understanding the relevance of various terms in the governing equations**

**Obtain exact solutions of Navier-Stokes equations and understand the assumptions involved**

**A basic understanding of boundary layer theory**

(i) Fluid Mechanics by P. K. Kundu, I. M. Cohen and D. R. Dowling, Academic Press

(ii) Elementary Fluid Dynamics by D. J. Acheson, Oxford University Press

(iii) An Introduction to Fluid Dynamics by G. K. Batchelor, Cambridge University Press

(iv) Multimedia Fluid Mechanics (DVD) by G. M. Homsy et al., Cambridge University Press

**Syllabus:****Introduction - scope and relevance; Method of analysis - system vs control volumes - differential vs integral approach, Units and dimensions; Fluid properties - continuum, density, viscosity, surface tension, velocity, pressure, temperature; Fluid Statics - Hydrostatics, Fluid forces on planes and curved surfaces, submerged and floating bodies, Buoyancy and stability, Atmosphere as a fluid; Fluid Concepts - Streamlines, streaklines, pathlines, viscous vs inviscid flows, laminar vs turbulent flows, compressible vs incompressible flows; Engineering bernoulli equation; Control Volume analysis: Basic laws - Mass conservation law, thermodynamic laws, Newtonâ€™s laws, Angular-Momentum principle; Buckingham Pi-theorem; Similitude and modeling - scaling effects; Flows in a pipes and channels - friction factor, flow measurement devices - Venturi meter, Orifice meter. Differential analysis to fluid flow: Conservation of Mass - Coordinate systems, Kinematics - Translation, Rotation, Deformation, derivation of Governing equations of fluid flows - continuity, Euler equations, Potential flows - Bernoulli equation and applications to external aerodynamics, Navier-Stokes equations, Non-dimensional analysis; Exact solutions of Navier-Stokes equations; Internal flows; External flows - Prandtl's Boundary layer theory - flow over a flat plate, concept of similarity; Approximate methods - von Karman Integral analysis; (Thwaites method); Flow separation; Brief introduction to turbulence - characteristics of turbulence, drag crisis.**

**References:**(i) Fluid Mechanics by P. K. Kundu, I. M. Cohen and D. R. Dowling, Academic Press

(ii) Elementary Fluid Dynamics by D. J. Acheson, Oxford University Press

(iii) An Introduction to Fluid Dynamics by G. K. Batchelor, Cambridge University Press

(iv) Multimedia Fluid Mechanics (DVD) by G. M. Homsy et al., Cambridge University Press

**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.

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.