National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

An Institute of National Importance

Syllabus

Course Details

Subject {L-T-P / C} : ME6303 : Advanced Fluid Mechanics { 3-0-0 / 3}

Subject Nature : Theory

Coordinator : Prof. Ashok Kumar Satapathy

Syllabus

1. Fluid Kinematics: Velocity field, Acceleration of a fluid element, Conservation of mass and momentum: continuity and momentum equation, Rotation of fluid element, Euler’s equation, Integration of Euler’s equation to get Bernoulli’s equation. Stream lines and stream function, Irrotational flow, Reynolds transport theorem. 8 Hours
2. One-dimensional Viscous Flow: Couette flow, Flow through a pipe and channel, Laminar and turbulent regimes, Flow through concentric annulus. 6 Hours
3. Flow of Real Fluid: Laminar and turbulent flows, Navier-Stokes equations, Exact solutions for simple cases, Boundary layer principles, Order of magnitude analysis, Flow over a flat plate, Flow through conduits, Momentum integral equation, Creeping flow, Hydrodynamic lubrication of bearing, Flow separation and drag. Entrance region. 8 Hours
4. Two-Dimensional Flow of Ideal Fluids: Velocity potential, Superposition, Flow past a cylinder with and without circulation, Flow past Rankine body, Rankine oval. 4 Hours
5. Turbulent Flow: RANS equation, Shear stress models, Prandtl mixing length, turbulent theory, Universal velocity profile, Momentum eddy concept, Turbulent flow at very high Reynolds number. 6 Hours

Course Objectives

  • 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.

Course Outcomes

CO1: To have the basic understanding on fluid mechanics. <br />CO2: Apply the concepts of stress, strain in fluid system in engineering field <br />CO3: Calculate and determine the effect of boundary layer on solid body. <br />CO4: Relates the basic theory of laminar and turbulent flow with application of fluid mechanics. <br />CO5: Provides an understanding how the boundary layer characteristics affect drag force.

Essential Reading

  • A.K. Mohanty., Fluid Mechanics, PHI , Second Edition, 2009
  • S.K. Som, G. Biswas and S. Chakraborty, Introduction to Fluid Mechanics and Fluid Machines, TMH , Third Edition, 2017

Supplementary Reading

  • H. Schlichting, Boundary Layer Theory, Springer , Seventh Edition, 2014
  • F.M. White, Viscous Fluid Flow,, McGraw-Hill , 2006