Fluid Dynamics-I
This course will enable the students to -
- Provide a treatment of topics in fluid mechanics to a standard where the student will be able to apply the techniques used in deriving a range of important results and in research problems.
- Provide the students with knowledge of the fundamentals of Fluid Dynamics and an appreciation of their application to real world problems
Course Outcomes (COs):
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Course |
Learning outcomes (at course level) |
Learning and teaching strategies |
Assessment Strategies |
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Course Code |
Course Title |
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MAT 322
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Fluid Dynamics-I (Theory)
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The students will be able to –
CO75: Differentiate between the concept of rotational and irrotational flow, stream functions, velocity potential, vortex, Newtonian and non-Newtonian fluids etc. CO76: Apply the concept of Viscosity, General motion of a fluid element, stress and rate of strain also able to apply Stokes’ law of friction in different ideal fluid motions. CO77: Analyze simple fluid flow non dimensional parameters. CO78: Establish the different laws like law of conservation of mass, energy and momentum etc. CO79: Construct the fundamental equations for the ideal cases of flow between two parallel plates CO80: Solve Navier -Stoke's equation of motion for the problems (flow between parallel plates, flow through pipe, over sphere etc.). |
Approach in teaching: Interactive Lectures, Discussion, Power Point Presentations, Informative videos
Learning activities for the students: Self learning assignments, Effective questions, presentations, Field trips |
Quiz, Poster Presentations, Power Point Presentations, Individual and group projects, Open Book Test, Semester End Examination
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Basic concepts: Fluid, Continuum hypothesis, Viscosity, General motion of a fluid element, Analysis of stress and rate of strain, Stress in a fluid at rest, Stress in a fluid in motion, Stokes’ law of friction, Thermal conductivity and generalized law of heat conduction.
Fundamental equations of the flow of viscous fluids: Introduction, Equations of state and continuity, Navier-Stokes’ equations of motion, Equation of energy, Vorticity and circulation.
Dynamical similarity, Inspection and dimensional analysis, Buckingham π-theorem and its application, Non-dimensional parameters and their physical importance, Reynolds number, Froude number, Mach number, Prandtl number, Eckart number, Peclet number, Grashoff number, Brinkmann number, Non–dimensional coefficients: Lift and drag coefficients, Skin-friction, Nusselt number, Temperature recovery factor.
Exact Solutions of Navier-Stokes’ equations: Velocity and temperature distributions for the flow between two parallel plates, Plane Couette flow, Plane Poiseuille flow, Generalized plane Couette flow, Velocity and temperature distributions for the flow in a circular pipe (Hagen- Poiseuille flow).
Flow in tubes of uniform cross-sections: Circular, Annular and Elliptic, Equilateral triangular and Rectangular cross-sections. Flow between two concentric rotating cylinders, Flow in convergent and divergent channels, Stagnation point flows: Hiemenz flow, Homann flow.
- R.K. Rathy, An Introduction to Fluid Dynamics, Oxford and IBH Publishing Co., 1976.
- F. Chorlton, Textbook of Fluid Dynamics, CBS Publishers, Delhi, 2004.
- L.D. Landau and E.N. Lipschitz, Fluid Mechanics, Pergamon Press, London, 1985.
- J.L. Bansal, Viscous Fluid Dynamics, Oxford Publication, 2013.
- Schaum's Outlines, Fluid Mechanics, McGraw-Hill Education, 1st edition, 2007.
- G.K. Batchelor, An Introduction to Fluid Mechanics, Cambridge University Press, 2000.
- M.D. Raisinghania, Fluid Dynamics, S. Chand & Co., 2003.
- Pradip Niyogi, S.K. Chakrabartty and M. K. Laha, Introduction to Computational Fluid Dynamics, Pearson Education, 2006.
