University:
Swansea University
Course:
EG-086 | Engineering Science
Academic year:

2023
Views:

242

Pages:

5
Author:

J. Tomson

mast (Mapping). Stream function: Boundary layer (Study) Curl (grad) = 7 x 7.6 $ = Axit Ayj+k 7.=++ ay →(())-( hole + 2 () andy - 2) ayon 2 Jere - 2(4) xele •Care (gad) = 0 Irrotational flow: the Flow in which each element of fheid untemper no net votation wify respect to a chosen, Coordinate axes frous one instant to other. J Ferris wheel (Gant wheel). Rotation of a flurrd portile can be torque applied by y shear forcies oa a particle. ady by caused on the side of the Glory to God Imostational flow: y How Hibich codisfres the equation Cuul+(x) to irrottincter (0) con be duoobed by using Velocity Potential function() 6. Consider ibere the a=3.51. flow field Shao 2 ques by up-az-ay, that the ino tantonal, স Soluton: If the flow is inotatond repeo. Láplavaton → A=0. 2 74-0. 2 34+4+4 22 22 da-200 Since 7.0=0 The flow is imotational The stream fisction for a certain flow 4= ax²- ay at grass flow deadoomine the the is Components of Velocity Veloci 사 4= 24 be V= ax 1. V 24- 2(ax-aj) = -2ay -=- (02-ay)=-297 Deterome the velocity.vecta. Ur-2ay V= -200x -Lay - 2002) J=-zayi- Imitational flow: Alory to God How Hibich sodisfres the equation Cuul寸(x) 10 irrotetimeter lop) can be decorbed by using Velocity Potential function() Consider Where the a=331. flow field Shad gives by that the floo is 2 -ax-ay in tantonal Solidon: If the flow is inotationed p=0. Laplace equator da-200 Since 7.0=0 The flow is rotational The strean function for a certain flow ax- ay , determine the quest flow. is Components of Velocity for the Q. The strean fraction of a 2. = ax-ay ax² - ay 2 the flow. quos feow is gome Patrone the velocity pathostel first prove that the flow is inotadosal, if the flow is rotectional they there is no flow is imotentional: velocity patentine 44=0. +29 Dy2 +34 29-2a=0 / fia the flow is imetational The relationship between velocity componest and velocity potestiel u= -24 ox 22 = -24 first we have to frod streas fuosta vand V from the gas gus