FLUID DYNAMICS-I (Compulsory Paper)
- 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.
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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: CLO59- To understand the basic principles of fluid mechanics, such as the concept of rotational and irrotational flow, stream functions, velocity potential, vortex, Newtonian and non-Newtonian fluids etc. CLO60- To analyze simple fluid flow non dimensional parameters. CLO61- To establish the different laws like law of conservation of mass, energy and momentum etc. CLO62- To study the exact solutions of the problems (flow between parallel plates, flow through pipe, over sphere etc.) with Navier -Stoke's equation of motion.
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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 |
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, Annularand 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, 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, M. K. Laha, Introduction to Computational FluidDynamics, PearsonEducation, 2006.
