Page 88 - CatalogNEP-PS

*TUTORIAL (15 Hours (1 Hour per week))

SUGGESTED READING:

1. Kwang H. Lee, First Course on Fuzzy Theory and Applications, Springer International
Edition, 2005.
2. Chander Mohan , An Introduction to Fuzzy Set Theory and Fuzzy Logic, Anshan
Publishers.
3. H.J. Zimmerman, Fuzzy Set Theory and its Applications, Allied Publishers Ltd., New
Delhi, 1991.
4. John Yen, Reza Langari, Fuzzy Logic - Intelligence, Control and Information, Pearson
Education.
5. Stamatios V. Kartalopoulos, Understanding Neural Networks and Fuzzy Logic Basic
concepts & Applications, IEEE Press, PHI, New Delhi, 2004.
6. Vojislav Kecman, Learning & Soft Computing Support Vector Machines, Neural
Networks, and Fuzzy Logic Models, Pearson Education, New Delhi,2006.

Math.415 Fluid Dynamics 3+1*

LEARNING OBJECTIVES:

The primary objective of this course is:
 To understand the properties of fluids and fluid statics
 To derive the equation of conservation of mass and its application
 To solve kinematic problems such as finding particle paths and stream lines •
 To use important concepts of continuity equation, Bernoulli‘s equation and turbulence, and
apply the same to problems
 To analyze laminar and turbulent flows and to understand the various flow measuring
devices.

LEARNING OUTCOMES:

Upon successful completion of this course the students will be able to:
 Understand the various properties of fluids and their influence on fluid motion and analyse
a variety of problems in fluid statics and dynamics.
 Calculate the forces that act on submerged planes and curves.
 Identify and analyse various types of fluid flows.
 Apply the integral forms of the three fundamental laws of fluid mechanics to turbulent and
laminar flow through pipes and ducts to predict relevant pressures, velocities, and forces

THEORY (45 Hours)

UNIT-I (15 Hours)
Types of fluids, Lagrangian and Eulerian method of describing fluid motion, most general motion
of the fluid element: translation, rotation, and deformation. Stream lines, path lines and streak
lines, material derivative, acceleration components of fluid particle in cartesian, cylindrical and
spherical polar coordinates (without proof), vorticity vector, vortex lines, rotational and
irrotational motion. Velocity, potential boundary surface, boundary condition. Irrotational motion
in two-dimensional, stream functions, complex velocity potential, sources, sinks, doublets, and
their images in two dimensional.
UNIT-II (15 Hours)

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