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Problem 3 6.121 A crude model of a tornado is formed by combining a sink, of...
7. A crude model of a tornado in air is formed by combining a ree vortex of circulation Г--6x 104 m2/s and a sink of strength m :3x104 m3/s. Far from the core, r-но , assume Po-1 am and Vo-0. (a) Write down the stream function for a CCW rotating tornado, (b) At what distance r = RI has the wind speed reached 100 mph and what is the gage pressure Pg at this point? (c) At what distance r-R2...
urgent an expression for the velocity potential ofa sink of strength (-m) placed at the origin of a two dimensional coordinate system in terms of r and ro, where ro is the radius of the equipotential = 0, sketch the pattern of the resulting equpotential lines. talce ongle r-S The flow field in a two dimentional incompressible flow has the horize omponent "u" and the vertical velocity component* derive (7 marks) 2 an expression for the velocity potential ofa sink...
The flow in the impeller of a centrifugal pump is modeled by the superposition of a source flow and a free vortex flow. The impeller has an outer diameter of 0.5 m and an inner diameter of 0.3 m. At the outlet from the impeller, the flowing water has the following velocity components, relative to the impeller: radial component 1 m/s and tangential component 6 m/s. Determine! 1) the velocity potential and stream function for the superposition, the strength of...
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,...
Problem #3 A student performed a flow visualization experiment for the flow over an airfoil as shown below. Smoke was generated from a pipe upstream of the airfoil with holes spaced 1 cm apart. The free stream velocity is 2 m/s. Estimate the velocity at point A, then estimate the gauge pressure at the same point. Assume standard conditions. U = 2m/s Problem #4 For the same airfoil above the wake velocity distribution is measured downstream of the airfoil as...
Now evaluate the mass and momentum into and out of the CV shown with 1.0s y Rs 1.5 at (2) Let p 1200 kg/m2, Uoo- 20 m/s and cylinder radius R 0.01 m 1 cm and Az 1 m Note: The flow does not cross streamlines, so there is no flow across the side boundaries. Exit (2) NO SCALE Variable u vs y at x2-0 Inlet (1) y- H1 and v 0 constant u Uo constant v0 A) Find mass...
don’t us excel please Problem 3. (30 points) From inviscid potential flow analysis, as a uniform stream approaches a cylinder of radius R along the symmetry line AB in the figure, the velocity has only one component: u(x)U for 0<xs-R where U, is the stream velocity far from the cylinder. a. Using EXCEL, plot u(x) along AB from -0.4<x<-0.05 when R-0.05 m and U,-4 m/s. Label axes with variables and dimensions and add a title to the plot. Since the...
10. Write a one-page summary of the attached paper? INTRODUCTION Many problems can develop in activated sludge operation that adversely affect effluent quality with origins in the engineering, hydraulic and microbiological components of the process. The real "heart" of the activated sludge system is the development and maintenance of a mixed microbial culture (activated sludge) that treats wastewater and which can be managed. One definition of a wastewater treatment plant operator is a "bug farmer", one who controls the aeration...