A healing contractor must heat 0.2 k g / s of water from 15 ° C to 35 ° C using hot gases in cross flow over a thin walled tube. Your assignment is to develop a series of design graphs that can be used to demonstrate acceptable combinations of tube dimensions (D and L) and of hot gas conditions ( T ∞ and V) that satisfy this requirement. In your analysis, consider the following parameter ranges: D = 20 , 30 , or 40 m m ; L = 3 , 4 , or 6 m ; T ∞ = 250 , 375 , or 500 ° C ; and 20 ≤ V ≤ 40 m / s .
A healing contractor must heat 0.2 k g / s of water from 15 ° C to 35 ° C using hot gases in cross flow over a thin walled tube. Your assignment is to develop a series of design graphs that can be used to demonstrate acceptable combinations of tube dimensions (D and L) and of hot gas conditions ( T ∞ and V) that satisfy this requirement. In your analysis, consider the following parameter ranges: D = 20 , 30 , or 40 m m ; L = 3 , 4 , or 6 m ; T ∞ = 250 , 375 , or 500 ° C ; and 20 ≤ V ≤ 40 m / s .
A healing contractor must heat
0.2
k
g
/
s
of water from
15
°
C
to
35
°
C
using hot gases in cross flow over a thin walled tube.
Your assignment is to develop a series of design graphs that can be used to demonstrate acceptable combinations of tube dimensions (D and L) and of hot gas conditions (
T
∞
and V) that satisfy this requirement. In your analysis, consider the following parameter ranges:
D
=
20
,
30
,
or
40
m
m
;
L
=
3
,
4
,
or
6
m
;
T
∞
=
250
,
375
,
or
500
°
C
;
and
20
≤
V
≤
40
m
/
s
.
Air (pressure 1 atm) enters a circular pipe 5 cm in diameter at 20 °C with an average speed of 5 m/s. The tube wall is maintained at a constant surface temperature of 160°C, and the mean outlet temperature is 80°C. Estimate the length of the tube.
Mainly, I also need the solution from concepts of how the heat flow behaves in the system, it can be with a diagram.
Merrill et al. (1965) in a series of classic experiments studied the flow of blood in capillary tubes of various diameters. The blood had a hematocrit of 39.3 and the temperature was 20°C. They measured the pressure drop as a function of the flow rate for five tube diameters ranging from 288 to 850 μm. When they expressed the measured pressure drops in terms of the wall shear stress, and the volumetric flow rates in terms of the reduced average velocity, all of the data for the various tube sizes formed, within the experimental accuracy, a single line as predicted by the Rabinowitsch equation expressed in terms of reduced average velocity. From their results they provide the following values of the Casson parameters at 20°C: τy = 0.0289 dynes cm−2 and s = 0.229 (dynes s cm−2)1/2. Using these values for τy and s, show that the equation below for reduced average velocity provides an excellent fit to their data summarized in the following table.
(Wall shear stress) τw , dynes cm-2…
Water at a flow rate of 0.215 kg/s is cooled from 70°C to 30°C by passing it through a thin-walled tube of diameter of 50 mm and maintaining a coolant at 15°C in cross flow over the tube. What is the required tube length if the coolant is air and its velocity is V = 20 m/s?Water : cp = 4181 J/kg⋅K, μ = 548 × 10-6 N⋅s/m2, k = 0.643 W/m⋅K, Pr = 3.56.Air : ν = 15.89 × 10-6 m2/s, k = 0.0263 W/m⋅K, Pr = 0.707.(Hint: For external flow use Churchill/Bernstein correlation.)
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