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#### Fluid Dynamics  (Code-09050605)

 S.No. Content of the topics Learning Objectives Teaching Guidelines Methodology Time                         (Hours) 1 Kinematics- Eulerian and Langrangian methods Student will be able to know about the kinematics Lecture should be effective so that student will be able to grasp the topics easily Assignments/ Seminars/    Class Tests/ Presentations 10 Stream lines, path lines and streak lines Velocity potential Irrotational and rotational motions Vortex lines Equation of continuity Boundary surfaces 2 Acceleration at a point of a fluid Students will know about the dynamical equations of motion Lecture should be effective so that student will be able to grasp the topics easily Assignments/ Seminars/    Class Tests/ Presentations 15 Components of acceleration in cylindrical and spherical polar coordinates Pressure at a point of a moving fluid Euler’s and Lagrange’s equations of motion Bernoulli’s equation Impulsive motion Stream function 3 Acyclic and cyclic irrotation motions Students will know about the applications of dynamical equations of motion Lecture should be effective so that student will be able to grasp the topics easily Assignments/ Seminars/    Class Tests/ Presentations 15 Kinetic energy of irrotational flow Kelvin’s minimum energy theorem Axially symmetric flows Liquid streaming past a fixed sphere Motion of a sphere through a liquid at rest at infinity Equation of motion of a sphere Three-dimensional sources ,sinks,doublets and their images Stroke’s stream function 4 Irrotational motion in 2-D Students will know about the motion in 2-D Lecture should be effective so that student will be able to grasp the topics easily Assignments/ Seminars/    Class Tests/ Presentations 12 Complex velocity potential Milne-Thomson circle theorem 2-D sources, sinks, doublets and their images Blasius theorem 2-D irrotation motion produced by motion of circular and coaxial cylinders in an infinite mass of liquid