Fluid Dynamics
Teacher
Dr. Goutam Kumar Mahato
Category
Core Courses
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Course Name : Fluid Dynamics
Code(Credit) : CUTM1527 (3-0-1)
Course Objectives
To introduce the foundations of fluid dynamics, various formulations of governing equations and their mathematical properties in order to establish a firm basis for other modules.
Course Outcomes
| COs | Course outcomes | Mapping Cos with POs (High-3, Medium-2, Low-1) |
| CO1 | Distinguish and analyse the governing equations of fluid dynamics in various formulations for compressible and incompressible viscous and inviscid flows.
|
PO1(3), PO2(2) |
| CO2 | Estimate the impact of different physical phenomena based on dimensional analysis.
|
PO2(2), PO4(2) |
| CO3 | Examine mathematical properties of governing equations and be able to critically evaluate correct boundary/initial value problems for various flows.
|
PO5(2), PO9(2) |
Course Syllabus
MODULE – I
Kinematics of Fluids, Methods describing Fluid motion, Lagrangian and Eulerian Methods, Translation, Rotation and Rate of Deformation, Streamlines, Path lines and Streak lines.
PROJECT 1: A Report on Steady vs Unsteady Flow, Compressible vs incompressible Flow, Laminar vs Turbulent Flow, Newtonian vs Non-Newtonian Flow, Invisid vs Viscous Flow, Rotational vs Irrotational Flow. (Definition, Comparative Study & Examples)
MODULE – II
Fundamental equations of the flow of viscous compressible fluids: Equations of continuity, motion and energy in Cartesian coordinate systems, The equation of state, Fundamental equations of continuity, motion and energy in Cylindrical & Spherical coordinate systems.
MODULE – III
2-D and 3-D inviscid incompressible flow: Basic equations and concepts of flow, Circulation theorems, Velocity potential, Rotational and Irrotational flows, Bernoulli’s Equation.
PROJECT 2: A study on Stokes Circulation Theorem
MODULE – IV
Laminar Flow of Viscous Incompressible Fluids: Flow between parallel flat plates, Couette flow, Steady Flow in pipes, Hagen-Poiseuille flow, Unsteady motion of a flat Plate.
PROJECT 3: A study on plane Poiseuille flow.
PROJECT 4: A report on steady flow of viscous incompressible fluid between two porous parallel plates.
PROJECT 5: A study on laminar flow between two coaxial circular cylinders (i.e. an annulas).
PROJECT 6: A report on unsteady flow of a viscous incompressible fluid over an oscillating plate.
MODULE – V
The Laminar boundary layer Flow: Properties of Navier-Stokes equations, Boundary layer equations in 2-D flow, Similarity of Flows, Reynold’s Number, The boundary layer along a flat plate, Boundary layer on a surface with pressure gradient.
MODULE – VI
Momentum Integral theorems for the boundary layer, Von karman-Pohlhausen method, Separation of boundary layer flow, Boundary layer control.
MODULE – VII
The origin of Turbulence, Reynold’s modification of the Navier-Stokes equations for Turbulent flow, Reynold’s stresses, Prandtl’s mixing length theory.
BOOK PRESCRIBED
1 S. W. Yuan, “Foundations of Fluid Mechanics”, Prentice – Hall of India
Chapters: 3 (3.1 to 3.4), 5 (5.1 to 5.6), 7 (7.1 to 7.5), 8( 8.1 to 8.4, 8.7 to 8.8) ,9, 10(10.1 to 10.3(a))
BOOK REFERENCE
1 J. L. Bansal , “Viscus Fluid Dynamics”, IBH Publication, Joypur.
2 M. D. Raisinghania, "Fluid Dynamics with Complete Hydrodynamics", S. Chand & Company Ltd, New Delhi.
Session Plan
Session 1
Kinematics of Fluids
https://www.youtube.com/watch?v=fa0zHI6nLUo&feature=youtu.be
Session 2
Methods describing Fluid motion, Lagrangian and Eulerian Methods
Session 5 & 6
PROJECT 1: A report on steady vs unsteady flow, compressible vs incompressible flow, laminar vs turbulent flow, Newtonian vs non-Newtonian flow, inviscid vs viscous flow, rotational vs irrotational flow (Definitions, Comparative Study & Examples).
Session 7
Fundamental equations of the flow of viscous compressible fluids: Equations of continuity
Session 8
Fundamental equations of the flow of viscous compressible fluids: Equations of motion
Session 9
Fundamental equations of the flow of viscous compressible fluids: Equation of energy in Cartesian coordinate systems
Session 11
Fundamental equations of continuity, motion and energy in Cylindrical & Spherical coordinate systems.
https://www.youtube.com/watch?v=Wq8-S0Xet4Q&feature=youtu.be
Session 12
2-D and 3-D inviscid incompressible flow: Basic equations and concepts of flow
https://www.youtube.com/watch?v=9A-9W63D_mY&feature=youtu.be
https://www.youtube.com/watch?v=dvbYN28PuFM&feature=youtu.be
Session 14
Velocity potential, Rotational and Irrotational flows
Session 16 & 17
PROJECT 2: A study on Stokes circulation theorem.
Session 18
Laminar Flow of Viscous Incompressible Fluids: Flow between parallel flat plates
Session 20
Steady Flow in pipes: Hagen-Poiseuille flow
Session 21
Unsteady motion of a flat Plate
Session 22 & 23
PROJECT 3: A study on plane Poiseuille flow.
Session 24 & 25
PROJECT 4: A report on steady flow of viscous incompressible fluid between two porous parallel plates.
Session 26 & 27
PROJECT 5: A study on laminar flow between two coaxial circular cylinders (i.e. an annulas).
Session 28 & 29
PROJECT 6: A report on unsteady flow of a viscous incompressible fluid over an oscillating plate.
Session 30
The Laminar boundary layer Flow: Properties of Navier-Stokes equations
Session 31
Boundary layer equations in 2-D flow
Session 32
Similarity of Flows, Reynold’s Number,
https://www.youtube.com/watch?v=i2a6CDd-Yko&feature=youtu.be
https://www.youtube.com/watch?v=8yprqtrpZP4&feature=youtu.be
Session 33
The boundary layer along a flat plate
Session 34
Boundary layer on a surface with pressure gradient
Session 35
Momentum Integral theorems for the boundary layer
Session 36
Von karman-Pohlhausen method
Session 37
Separation of boundary layer flow
Session 38
Boundary layer control
Session 40
Reynold’s modification of the Navier-Stokes equations for Turbulent flow
Session 41
Reynold’s stresses
Session 42
Prandtl’s mixing length theory
Case Studies
Case Studies
Our Main Teachers
Received M.Sc. (Mathematics) from Vinoba Bhave University, Hazaribag and B.Ed. from Ranchi University, Ranchi in the year of 2006 and 2008 respectively. Awarded PhD, in the year of 2013, from Indian School of Mines, Dhanbad. Published 22 research papers in different journals of international repute. Participated and presented 16 research papers in various National and […]