HYDRODYNAMICS
- Understand the motion of fluid and develop concept, models
- Understand the techniques which enable us to solve the problems of fluid flow.
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Learning Outcomes |
Learning and teaching strategies |
Assessment |
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After the completion of the course the students will be able to: CLO49- Understand the basic principles of ideal fluid, such as Lagrangian and Eulerian approach, conservation of mass etc. CLO50- Use Euler and Bernoulli's equations and the conservation of mass to determine velocity and acceleration for incompressible and non-viscous fluid. CLO51-Understand the concept of rotational and irrotational flow, stream functions, velocity potential, complex potential due to sink, source and doublets. CLO52-Understand the motion of a fluid element, Vorticity, Body forces, Surface forces, Stress & Strain analysis, Flow and circulation, Connectivity, Irrotational motion in multiple connected space, CLO53-Distinguish the concept of Irrotational motion of a cylinder in two dimensions, Motion of a circular cylinder in a uniform stream and two co-axial cylinders, Streaming and circulation for a fixed circular cylinder. |
Approach in teaching: Interactive Lectures, Discussion, Tutorials, Reading assignments, Demonstration, Team teaching Learning activities for the students: Self learning assignments, Effective questions, Simulation, Seminar presentation, Giving tasks, Field practical
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Presentations by Individual Student Class Tests at Periodic Intervals. Written assignment(s) Semester End Examination |
Kinematics of ideal fluid, Lagrange's and Euler's methods, Equation of continuity in cartesian, cylindrical and spherical polar coordinates, Boundary surface, Stream-lines, path-lines and stream lines velocity potential irrotational motion.
Euler's hydrodynamic equations, Bernoulli's theorem, Helmholtz equations, Cauchy's integral, Motion due to impulsive forces.
Motion in two-dimensions, Stream function, Complex potential, Sources, Sinks, Doublets, Images in two dimensions: image of a source with regard to a plane, image of a source with regard to a circle.
Irrotational Motion: Motion of a fluid element (General and Cartesian coordinates), Vorticity, Body forces, Surface forces, Stress analysis at a point, Strain analysis, Flow and circulation, Kelvin’s circulation theorem, Connectivity, Irrotational motion in multiple connected space, Acyclic and cyclic motion, Kelvin’s minimum energy theorem.
Irrotational motion in two dimensions: Introduction, General motion of a cylinder in two dimensions, Motion of a circular cylinder in a uniform stream, Liquid streaming past a fixed circular cylinder, two co-axial cylinders, Circulation about a circular cylinder, Blasius’s theorem, Streaming and circulation for a fixed circular cylinder, Equation of a motion of a circular cylinder.
- M.D.Raisinghania, Fluid Dynamics, S. Chand & Co. New Delhi, 2016.
- Shanti Swarup, Hydrodynamics, Krishana Prakashan, 2016.
- K.P.Goyal, J.K.Gupta, Fluid Dynamics, Pragati Prakashan, Meerut, 2011.
- H.K.Pathak, Fluid Dynamics, Shiksha Sahitya Prakasha, 2013.
- Schaum's Outlines, Fluid Mechanics, McGraw-Hill Education, 1 edition, 2007.
- G.K.Batchelor, An Introduction to Fluid Mechanics, Cambridge University Press, 2000.
- F. Chorlton, Text book of Fluid Dynamics, CBS Publications, New Delhi, 2004.
- Milne Thomson, Theoretical Hydrodynamics, Macmillan, 3rd Edition, 1955.
