National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

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Syllabus

Course Details

Subject {L-T-P / C} : CE6431 : Advanced Fluid Mechanics { 3-0-0 / 3}

Subject Nature : Theory

Coordinator : Anurag Sharma

Syllabus

Module 1 :

Module 1: [7 hours]
Fluid Kinematics: Velocity field, Acceleration of a fluid element, Rotation of fluid element, Stream lines and stream function, Irrotational flow, Reynolds transport theorem.
Module 2: [8 hours]
Fluid Dynamics: Euler’s equation, Integration of Euler’s equation to get Bernoulli’s equation. Application of Bernouliis equation, Conservation of mass and momentum: continuity and momentum equation,
Module 3: [8 hours]
One-dimensional Viscous Flow: Couette flow, Flow through a pipe and channel, Laminar and turbulent regimes, Navier-Stokes equations, Exact solutions for simple cases,
Module 4: [8 hours]
Boundary Layer: Boundary Layer Theory for low and high Viscosity, Boundary Layer thickness, Prandtl’s Equation, Momentum Integral Equation, Pressure Distribution in boundary layer, Flow over a flat plate, Flow through conduits, Momentum integral equation.
Module 5: [5 hours]
Dimension analysis and similarities: Buckingham pi theorem, types of similarities, forces influencing hydraulic phenomenon, significance of dimensionless numbers, distorted model, and model proto type similarity law.

Course Objective

1 .

To provide students with a sound foundation in the mathematical, scientific and engineering fundamentals necessary to formulate, solve and analyze engineering problems in Fluid Mechanics.

2 .

Ability to apply mass, momentum and energy conservation principles for fluid flow

3 .

Ability to understand and apply the knowledge regarding the boundary layer theory to the real life hydraulic structures

4 .

Understanding the application of fluid mechanics principles for practical problems

Course Outcome

1 .

CO1: To have the basic understanding on fluid mechanics and Fluid Kinematics:.
CO2: To know the continuity and momentum equation in fluid dynamics.
CO3: Relates the basic theory of laminar and turbulent flow with application of fluid mechanics.
CO4: To Calculate and determine the effect of boundary layer on solid body.
CO5: Understand the basic concepts of Dimension analysis and similarities in fluid mechanics.

Essential Reading

1 .

F. M. White, Fluid Mechanics,, McGraw-Hill

2 .

K. Subramanya, Theory and application of Fluid Mechanics, Tata Mc Graw hill, New Delhi

Supplementary Reading

1 .

V.L. Streeter, Fluid Mechanics,, McGraw-Hill Book, New York.

2 .

J.F. Douglas, J.M. Gasiorek, J.A. Swaffield, Fluid Mechanics, Person Education