(a) Write a code to demonstrate flow over a Rankine half body using contour and vector plots. Rankine half body given that q the strength of the source q-9 m/s and the uniform flow magnitude U m/s is the number against your name. (b) Plot a pressure profile as a function of distance (c) Describe an application for a Rankine half body.
(a) Write a code to demonstrate flow over a Rankine half body using contour and vector plots. Rankine...
2. Water flows over a flat surface at 8 m/s, as shown in figure. A pump draws off water through a narrow slit at a volume rate of 0.2 m2/s per meter length of the slit. Assume that the fluid is incompressible and inviscid and can be represented by the combination of a uniform flow and a sink. a) Based on method of superposition, propose a general expression for stream function ψ velocity potential ф, and velocity components of v,...
To produce a Rankine oval of length 200 mm and breadth 100 mm in an otherwise uniform infinite two-dimensional stream of velocity 3 m/s (parallel to the length), what strength and positions of source and sink are necessary? What is the maximum velocity outside the oval?
Advanced Fluid Mechanics
Determine the streamfunction and velocity potential for uniform flow of strength U over a point source and sink of equal strength, m, located on the x-axis at +/-b (the source is at-b with the sink at +b, where b is not small). Write expressions for the u and v velocity components, and draw streamlines of the flow. Determine the location(s) of any and all stagnation points.
Determine the streamfunction and velocity potential for uniform flow of strength...
The instantaneous center of zero velocity for the body is located at point IC (0.5 m, 2 m). If the body has an angular velocity of 4 rad/s, as shown, determine the velocity of B with respect to A. 10. IC ω= 4 rad/s 0.5 m 1.5 m be 0.5 m 1.5 m
combination are a distance 2c apart and lie on the x-axis. (7 marks) A source and sink of equal strength 10 m /s placed at the points (2.5, 0) and (-2.5, 0) c) respectively. Show that lines of constant stream function are circles and hence obtain the radius and position of the centre on the circle whose stream function is 2 m2/s are (10 marks) Question 2
combination are a distance 2c apart and lie on the x-axis. (7 marks)...
The velocity ofa particle is defined by v (-2i+(3-20A, m/s where t is in seconds. If r 0 when t 0, determine the displacement of the particle during the time interval t As (-8/-4A, m As (-6i+-6A. m As (-10/-2A.m As-(-4, m 1 s and t 4 s. A motor gives a disk A an angular acceleration of aA (2t+3) rads, where t is in seconds. If the inidal angular velocity of the disk is Dg 5 rads, determine the...
d. 100 rad/s Rigid Body m-7kg 0.4 m rotates about a fixed point 0.5 m from C.G e. Total Mass (includng wheels) 100 kg v- 8 m/s uniform dsks -1kg(each) R, 0.05 m roll without slippirg Total Mass (including wheels)-100kg uniform disks R,-0.20m roll without sipping
4. A wheel is rotating at 8 rad/s. What is the tangential velocity of a point on the rim of the wheel if the wheel has a radius of 0.50 m? a) 1 m/s b) 4 m/s c) 16 m/s d) 64 m/s e) none of the above 5. What is the centripetal acceleration of this point? a) 1 m/s2 b) 4 m/s2 c) 16 m/s2 d) 64 m/s2 e) none of the above 6 What is the moment of...