A nozzle is designed to accelerate the fluid from V, to V2 in a linear fashion. That is, V = ax + b, where a and b are constants. Assume that the flow is not steady, but at the time when V = 12m/s at x1 = 0 and V2 = 24m/s at x2 = 1 it is known that aV1/at =17 m/s? and aV½/Ət =60 m/s². Determine (a) the local acceleration at points (1); (b) the local acceleration at points (2); (c) the convective acceleration at points (1); (d) the convective acceleration at points (2); (e) the acceleration of the fluid at points (1); (f) the acceleration of the fluid at points (2).

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A nozzle is designed to accelerate the fluid from V, to V, in a linear fashion. That is, V = ax + b, where a and b are constants. Assume
that the flow is not steady, but at the time when V, = 12m/s at x1 = 0 and V, = 24m/s at x, = 1 it is known that aV,/at =17 m/s? and
av2/Ət =60 m/s². Determine
(a) the local acceleration at points (1);
(b) the local acceleration at points (2);
(c) the convective acceleration at points (1);
(d) the convective acceleration at points (2);
(e) the acceleration of the fluid at points (1);
(f) the acceleration of the fluid at points (2).
(a) ajocal(1) =
m/s2
(b) alocal(2) =
i
m/s2
(c) acon(1) = i
m/s2
(d) acon(2) = i
m/s2
(e) an(1) = i
m/s2
(f) aq(2) = i
m/s2
Transcribed Image Text:A nozzle is designed to accelerate the fluid from V, to V, in a linear fashion. That is, V = ax + b, where a and b are constants. Assume that the flow is not steady, but at the time when V, = 12m/s at x1 = 0 and V, = 24m/s at x, = 1 it is known that aV,/at =17 m/s? and av2/Ət =60 m/s². Determine (a) the local acceleration at points (1); (b) the local acceleration at points (2); (c) the convective acceleration at points (1); (d) the convective acceleration at points (2); (e) the acceleration of the fluid at points (1); (f) the acceleration of the fluid at points (2). (a) ajocal(1) = m/s2 (b) alocal(2) = i m/s2 (c) acon(1) = i m/s2 (d) acon(2) = i m/s2 (e) an(1) = i m/s2 (f) aq(2) = i m/s2
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