The less following data is measured for the dimensionless velocity u of a fluid as a function of dimensionless location and dimension time t: t=0 t=2 t=4 t=6 t=8 x=0 0 3 14 7 5 x=0.5 8 10 14 12 10 x = 1 2 7 8 9 7 x = 1.5 13 15 22 16 9 x=2 15 18 22 17 14 By hand, calculate the acceleration of the fluid, au/at and the spatial change in acceleration of the fluid, ²u/(Ətər) a) at 1 and t-4 with second order accuracy; b) at z 0 and t-2 with second order accuracy;

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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.8P
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The
less
following data is measured for the dimensionless velocity u of a fluid as a function of dimensionless location and dimension-
time t:
t=0
t=2
t = 4
t = 6
t = 8
x=0
0
3
14
7
5
x=0.5
8
10
14
12
10
x = 1
2
7
8
9
7
x = 1.5
13
15
22
16
9
x=2
15
18
22
17
14
By hand, calculate the acceleration of the fluid, ou/et and the spatial change in acceleration of the fluid, ²u/(Ətəx)
a) at z = 1 and t4 with second order accuracy;
b) at z = 0 and t = 2 with second order accuracy;
Transcribed Image Text:The less following data is measured for the dimensionless velocity u of a fluid as a function of dimensionless location and dimension- time t: t=0 t=2 t = 4 t = 6 t = 8 x=0 0 3 14 7 5 x=0.5 8 10 14 12 10 x = 1 2 7 8 9 7 x = 1.5 13 15 22 16 9 x=2 15 18 22 17 14 By hand, calculate the acceleration of the fluid, ou/et and the spatial change in acceleration of the fluid, ²u/(Ətəx) a) at z = 1 and t4 with second order accuracy; b) at z = 0 and t = 2 with second order accuracy;
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