(Solution) AME 30331 - Fall 13 HW 9 Assigned 11/1 - Due: 11/8 Problem 1 A source of strength m is located a distance l from a vertical solid wall as shown on... > Snapessays.com

(Solution) AME 30331 - Fall 13 HW 9 Assigned 11/1 - Due: 11/8 Problem 1 A source of strength m is located a distance l from a vertical solid wall as shown on...

Would love help with all 3 questions. Thank you!AME 30331

Fall 13

HW 9

Assigned 11/1

Due: 11/8

Problem 1

A source of strength

m

is located a distance

l

from a vertical solid wall

as shown on the right. The velocity potential for this incompressible,

irrotational flow is given by:

? ? ? ?

? ?

22

22

ln

ln

4

m

xl

y

xl

y

?

??

??

??

?

?

?

?

?

??

??

1- Show that there is no flow through the wall.

2- Determine the velocity distribution along the wall.

3- Determine the pressure distribution along the wall, assuming

pp

?

far from the source.

4- Show that the vorticity is zero everywhere.

Problem 2

A horizontal slice through a tornado is modeled by two distinct regions. The inner or core region

(

rR

??

) is modeled by solid body rotation (i.e., a rotational but inviscid region of flow). The

outer region (

rR

?

) is modeled as an irrotational region of flow.

The flow is two-dimensional in the

r

?

-plane, and the components of the velocity field are given

by:

r

v

?

2

rr

R

v

R

rR

r

?

?

?

??

?

?

?

?

?

?

?

,

where

?

is the magnitude of the angular velocity in the inner region. The ambient pressure (far

p

?

.

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This question was answered on: Sep 21, 2023

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Sep 21, 2023

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