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• To learn To learn fundamentals of computational methods like FVM for solving linear and non-linear partial differential equations related to fluid dynamics
• To emphasizes the basic underlying fluid mechanical principles governing energy transfer in a fluid flow systems with their performances in different field of engineering applications.
• After completion of the course, the students will able to evaluate finite difference/volume schemes on model problems of computational fluid dynamics.
• Students will learn to develop steady state mechanical energy balance equation for fluid flow systems, estimate pressure drop in fluid flow systems
Module I: Introduction to Finite volume Method (6 hrs)
Fundamentals of Finite volume methods, different types of finite volume grids, approximation of surface and volume integrals; interpolation methods, Review of governing equations
Practice 1- 2D mapped Mesh for rectangular pipe
Practice 2- 2D mapped Meshing for Aerofoil.
Module II: Grid generation (6 hrs)
Grid generation, creating, updating and managing meshes, Steady diffusion equation on structured meshes, Unsteady diffusion equation on structured meshes, Finite volume discretization of convection-diffusion problem
Practice 3- 3D structure mesh of Circular Cylinder
Practice 4- 3D unstructured mesh with primes layers for Aerofoil
Practice 5- 3D coarse/ medium/ fine sweep mesh for pipe
Module III: Incompressible flow field calculation with finite volume method(5 hrs)
Navier-stokes equation, Discretization of the Momentum Equation: Stream Function-Vorticity approach and Primitive variable approach, Navier-stokes equation with finite volume method, boundary condition, Reynolds averaged Navier-Stokes equations.
Module IV: Fluid kinematics (2 hrs)
Types of flow, Continuity equation (in one, two& three dimension steady state fluid flow analysis with finite volume method, velocity and acceleration fields, streamline, streak line, path line, velocity potential function and stream function, Rotation and vorticity.
Module V: Fluid Dynamics with Finite volume method (4 hrs)
Lagrangian and Eulerian Approach, Euler’s equation of motion along a stream line for ideal flow, Principle of conservation of energy with finite volume method, Integration of Euler’s equation along a stream line, Bernoulli’s equation
Practice- 6. Fluid Analysis of Bernoulli’s equation: Flow in a contracting pipe through CFD simulation
Module VI: Flow through Pipes ( 5 hrs)
Reynolds’s Experiment, Laws of Laminar and Turbulent Friction, Introduction Turbulence modeling through Finite volume method, Hagen Poiseulle Equation for laminar flow through pipe, Darcy-Weisbach Equation for Turbulent flow through pipe.
Practice- 7. Simulation of Fluid Analysis of Laminar flow in 3D Circular Pipe through
Practice-8. CFD Simulation of the Water Flow Passing Through a Converging Pipe.
Practice-9. Analysis to determine the frictional losses in the pipe.
Module VII: Flow Measurement (5 hrs)
Flow through small orifice meter, Mouthpiece, Velocity Measurement using Pitot tube, Prandtl tube, Flow measurement in pipes-Flow, Venturi Meter, Flow rate Measurement in channel- Weir and Notches
Practice-10. CFD Analysis of Fluid flow through Orifice meter
Practice -11.CFD Analysis of Fluid flow through adjustable channel
Practice-12. Analysis of Fluid flow simulation through Venturi Meter
1.R.K. Bansal, Fluid Mechanics and Hydraulic Machines, Laxmi Publications, ninth edition.
1.P.N. Modi & S.N. Seth, Hydraulics & Fluid Mechanics, Rajsons Publications Pvt. Ltd, Twentieth Edition
Source of reference; Online sources
boundary condition, Reynolds averaged Navier-Stokes equations.
Hagen Poiseulle Equation for laminar flow through pipe, Darcy-Weisbach Equation for Turbulent flow through pipe.
Debashree Debadatta Behera is currently working as an Assistant Professor in the Department of Mechanical Engineering, Centurion University of Technology and Management, Odisha as well as pursuing Ph.D. She had qualified assessment test under Skill Council for Green jobs for Suryamitra and Master Training Programme in Domain Skills and Platform Skills. Her research interests include […]