3) An incompressible flow velocity field is given as 1 1 ệp + - êe [m/s] r r where r is in meters. (a) Calculate the mass flow rate through the cylindrical surface at r =1 m from z = 0 to z =1 m as shown in Figure A (b) Show that mass is conserved in the annular control volume from r = 1 m to r = 2 m and z = 0 to z = 1 m as shown Figure B

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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3) An incompressible flow velocity field is given as
1
1
[m/s]
r
r
where r is in meters. (a) Calculate the mass flow rate through the cylindrical surface at r =1 m
from z = 0 to z =1 m as shown in Figure A (b) Show that mass is conserved in the annular
control volume from r = 1 m to r = 2 m and z = 0 to z = 1 m as shown Figure B
a 2 m.
I m
1 m
1 m
1 m
Transcribed Image Text:3) An incompressible flow velocity field is given as 1 1 [m/s] r r where r is in meters. (a) Calculate the mass flow rate through the cylindrical surface at r =1 m from z = 0 to z =1 m as shown in Figure A (b) Show that mass is conserved in the annular control volume from r = 1 m to r = 2 m and z = 0 to z = 1 m as shown Figure B a 2 m. I m 1 m 1 m 1 m
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