ME231, ME231A: Fluid Mechanics December 2014 - April 2015

Lecture-wise breakup (tentative)

SL Date Topic

Week#01: Fluid Statics, CH02

1

Dec 29 Preliminaries, Pressure, Pascal’s law, manometer, example

Forces on a submerged surface

Reading assignment: Continuum concept, Definition of fluid, Viscosity, Units and dimensions:: CH01

2 31 Review of reading assignment, problem solving

Reading assignment: Rigid body motion:: CH02

3

Jan 02 Review of reading assignment, buoyancy and stability, example

Reading assignment: to be supplied

HW#1: Fluid statics

Week#02: Kinematics, CH01, CH03

4 05 Lagrangian vs Eulerian description, system vs. control volume, partial vs. total (material derivative), velocity and acceleration fields, steady vs. unsteady flow

Reading assignment: Reynolds Transport Theorem:: CH03

5 07 Flow visualization: stream-, streak-, path-, and time-line , Reynolds Transport Theorem

Reading assignment: to be supplied

6 09 Rotational vs. irrotational flow, decomposition of motion, deformation and strain-rate, vorticity, stream function

Reading assignment: to be supplied

HW#2: Kinematics

Week#03: Integral analysis, CH03

7 12 Integral analysis: mass and momentum conservation, example

Reading assignment: Energy conservation

ME231, ME231A: Fluid Mechanics December 2014 - April 2015

8 14 Non-inertial frame, examples and problem solving, energy conservation

Reading assignment: pipe flow

9 16 Integral analysis: application to pipe flow, turbo machines

Reading assignment: Turbo machines

HW#3: Integral analysis

Week#04: Differential analysis, CH04

10 19 Mass, momentum conservation

Reading assignment: Navier-Stokes Equation:: any book

11 21 Newtonian fluid, Navier-Stokes Equation

Reading assignment: to be supplied

12 23 Exact solution: Couette flow, Poiseuille flow

Reading assignment: PDE solution via separation of variable from any maths book, notes on creeping flow

Week#05: Differential analysis, CH04

13 28 Hagen-Poiseuille flow, friction factor, hydraulic diameter

Reading assignment: to be supplied

HW#4: Differential analysis

14 30 Stokes first and second problems

Reading assignment: Buckingham Pi theorem:: CH05

Week#06: Dimensional analysis, CH05

15 Feb 02 Scales and dimensions, Pi theorem, example

Reading assignment: to be supplied

16 04 Equation nondimenionalization, similitude

Reading assignment: to be supplied

17 06 Equation nondimenionalization, similitude, problem solving

HW#5: Dimensional analysis

ME231, ME231A: Fluid Mechanics December 2014 - April 2015

Reading assignment: complex variable from any mathematics book

Week#07: Potential flow, CH08

18 09 Quiz#1

19 11 Formulation, mathematical formalism, complex variable

Reading assignment: to be supplied

20 13 Analysis of elementary potential flow structures

Reading assignment: to be supplied

16 – 21 Week#8: Mid- Semester Examination

Week#09: Potential flow, CH08

21 23 Method of superposition for complex problems

Reading assignment: to be supplied

22 25 Flow past a cylinder

Reading assignment: to be supplied

23 27 Flow over an aerofoil

HW#6: Potential Flow

Reading assignment: notes on boundary layer theory

Feb 28 - Mar 08 Week#10: Mid-semester Recess

Week#11: Boundary layer, CH07

24 Mar 09 Prandtl’s boundary layer approximation from scale analysis, displacement and momentum thickness

Reading assignment: to be supplied

25 11 Integral solution over a flat plate, entry length in a duct

Reading assignment: to be supplied

26 13 Integral solution for non-zero pressure gradient flow

Reading assignment: notes on flow past a cylinder

Week#12: Boundary layer, CH07

ME231, ME231A: Fluid Mechanics December 2014 - April 2015

27 16 Separation, flow past a cylinder

Reading assignment: to be supplied

28 18 Integral solution for flow past a cylinder

Reading assignment: to be supplied

29 20 Lift drag, skin friction; connection with the potential flow

HW#7: Boundary layer

Reading assignment: notes on turbulent flow

Week#13: Turbulent Flow, CH06

30 23 Reynolds decomposition, Reynolds stresses, cross-correlation, Boussinesq approximation, closure problem

31 25 Turbulent boundary layer and pipe flow

32 27 Jets, wakes, mixing layer

HW#8: Turbulent flow

Reading assignment: CH06 up to 6.6

Week#14: Engineering applications: internal/external flows, CH06, CH07

33 30 Moody’s chart, pipe flow, piping network

34 Apr 01 Flow past bluff bodies, aerofoil; sports ball aerodynamics

HW#9: Pipe flow

Reading assignment: notes on compressible flow

Week#15: Compressible flow, CH09

35 06 Compressible vs incompressible flow, one-dimensional isentropic flow

36 08 Normal and oblique shocks

37 10 Pradtl-Mayer expansion

HW#10: Compressible flows

Quiz#2

Week#16: Miscellaneous topics

ME231, ME231A: Fluid Mechanics December 2014 - April 2015

38 13 Engineering applications: problem solving and discussion

39 15 Engineering applications: problem solving and discussion

40 17 Makeup exam

Text: Fluid Mechanics, F. M. White, 7th Ed., Tata McGraw-Hill, 2011