A source of strength m, which by itself produces radial streamlines as indicated by the dashed arrows, is placed a distance L away from a vertical wall (occupying the yz-plane), at point S (x=L,y= 0). To compute the flow field in the presence of the wall, the method of images can be employed: A second source of strength m is placed a distance L from the wall on the other side, at S′ (x=−L,y= 0). The combined flow field of the two sources (solid arrows) simulates the presence of the wall. (a) Assuming incompressibility, write down the velocity potential for the combined flow of S and S′. (b) Show that there is no flow through the plane occupied by the wall. (c) Determine the velocity distribution along the wall. (d) Determine the pressure distribution along the wall, assuming p = p0 far away from the source and the wall. Gravity is absent.
A source of strength m, which by itself produces radial streamlines as indicated by the dashed ar...
6.102 The flow field for a plane source at a distance h above an infinite wall aligned along the x axis is given by 20[x2 + y - 12|xi +(y-hil 9 2;[xi + (y + hil * 29x2 + (y + h) 21 where q is the strength of the source. The flow is irrotational and incompressible. Derive the stream function and velocity potential. By choosing suitable values for 4 and h, plot the streamlines and lines of constant velocity...
question 4-7 4. Travelling Waves and Their Characteristics A rope wave travels in the positive x -direction. You are also told that the speed of the wave is 1000 cm/s, its frequency is 200 Hz, and that the wave is subject to the following initial conditions: at x 0 and t = 0: y =-1 cm, and, at x = 0 and t : ar = +20 cm/s (this is the velocity of the point on the rope at horizontal...
summarizr the followung info and write them in your own words and break them into different key points. 6.5 Metering Chamber: 6.5.1 The minimum size of the metering box is governed by the metering area required to obtain a representative test area for the specimen (see 7.2) and for maintenance of reasonable test accuracy. For example, for specimens incorporating air spaces or stud spaces, the metering area shall span an integral number of spaces (see 5.5). The depth of...
summatize the following info and break them into differeng key points. write them in yojr own words apartus 6.1 Introduction—The design of a successful hot box appa- ratus is influenced by many factors. Before beginning the design of an apparatus meeting this standard, the designer shall review the discussion on the limitations and accuracy, Section 13, discussions of the energy flows in a hot box, Annex A2, the metering box wall loss flow, Annex A3, and flanking loss, Annex...