Syllabus
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Course Code: MTTH-101 Course Name: Advanced Fluid Dynamics |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | Basic equations of fluid flow: Reynold’s transport theorem, continuity, momentum and energy equations in
integral form and their applications, differential form of these equations, Euler’s equation, Bernoulli’s equation,
Navier Stokes equation. Ideal flow: Kinematics of fluid flow; potential flow; sources, sinks and vortices; superimposition of uniform stream with above, doublets; Rankine ovals; flow around uniform cylinders with and without circulation; pressure distribution on the surface of these bodies and D’Alembert’s paradox. |
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| 2 | Exact solution of N-S equations: Navier Stokes equation, Plane Poiselle and Coutte flows; Hagen-Poiselle flow
through pipes; elements of hydrodynamic theory of lubrication; Flows with very low Reynold's numbers; Stokes flow
around a sphere. Boundary layer flows: Elements of two-dimensional boundary layer theory; displacement thickness and momentum thickness; skin friction; Blasius solution for boundary layer on a flat plate; Karman-Pohlhausen integral method for obtaining approximate solutions, boundary layer separation & control. |
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| 3 | Turbulent Flow: Characteristics of turbulent flow, laminar-turbulent transition, Turbulent boundary layer equation,
Time mean motion and fluctuations, derivation of governing equations for turbulent flow, Reynold's stresses: shear
stress models, universal velocity distribution. Introduction to Compressible flows: Speed of sound and Mach number, basic equations for one dimensional compressible flow, isentropic relation, propagation of infinitesimal and finite disturbances, stagnation and critical conditions, effect of variable flow area, converging and converging-diverging nozzles and diffusers. |
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| 4 | Experimental Techniques: Role of experiments in fluid mechanics, Sources of error in experiments, Sources of Error in Measurement, Data analysis: Classification of Data, Analysis of Random Signals, Fourier Transform Technique, Probability Density Function Approach; Introduction to design of experiments; Review of probes and transducers: Introduction to Hot wire Anemometry; Single & double wire measurement; Laser Doppler Velocimetry: Light Sources & LDV; Particle Image Velocimetry: Particle Image Velocimetry, Seeding Arrangement for PIV, Particle Dynamics, Generating a Light Sheet, Synchronizer. | |
