Process Dynamics and Control-pages-21
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Example Heat Exchanger Pipe region of oil
pt 2
Variable needs to be modeled
: Temperature out T(x,t)
Temperature profile
Unknown variables:
Oil temp out
External variables:
Temp of pipe, Temperature of Oil in [Change
in temperature out (Control)]
Parameters:
Flow rate of Oil, Length, Radius, Heat Capacity, Heat
transfer coefficient, density
Relevant types of balance relation
Heat Balance
Determine the control volume
Option 1: Entire pipe
Option 2: Small pipe (annulus) inside of the whole pipe
Option 3: Thin Disk inside the pipe
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Related Questions
Needs Complete typed solution with 100 % accuracy. Don't use chat gpt or ai i definitely upvote you.
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3. Microfluidic channels will need to be fabricated on a key micro-scale sensor used by aerospace
industries. Before running machining tests and analyzing machined quality, preliminary efforts are needed
to evaluate selected materials and factors affecting machining process¹. Three material candidates have
been selected, including 422SS (stainless steel), IN718 (nickel alloy), and Ti64 (titanium alloy) with their
measured tensile properties and equation of true stress-true strain relationship used listed below. Tref25°C.
Specifically, three factors will need to be evaluated, including different materials, temperature, and size
effect. Please calculate true stress values for true strain ranging between 0-3 for each case listed below.
Material
A (MPa)
& (S-¹)
Tm (°C)
870
0.01
1520
422SS (Peyre et al., 2007)
IN718 (Kobayashi et al., 2008)
Ti64 (Umbrello, 2008)
980
1
1300
782.7
1E-5
1660
Material
422SS (CINDAS, 2011)
IN718 (Davis, 1997)
Ti64 (Fukuhara and Sanpei, 1993)
0 =
X
G (GPa)
1+
B…
arrow_forward
'p' (liquid
density
'A' (tank cross
sectional area)
Qin' (Input Flow Rate)
P
'R' (restriction coefficient)
dh
Qin = A +
dt
'' (head
of liquid)
Figure 1
The single tank system (Figure 1) has been modelled by the first order differential equation given as
equation. The equation describes the relationship between the input flow rate entering the tank and the
head of liquid in the tank.
Pi
R
h
5 m
equation +
The following constants are provided:
R = 40 Kpa s m², 4 = 10 m², p= 1001 kg m², and g = 9.81 m s
A pump is suddenly switched on and provides a step input flow rate of 0.5 m³s¹¹.
(1)
Using Laplace Transforms, solve equation and provide an expression to show how the level in
the tank will vary in time after the step input has been applied.
(ii) Build a Simulink model and validate the results from Part 1 (i).
arrow_forward
Use Matlab
arrow_forward
Please explain
arrow_forward
Need help with engineering problem.
Match the RTT term with its explanation:
A: ddt(∫CVβρdᏉ)
B: ∫CSβρVcosθdAout
C: ∫CSβρVcosθdAin
A.
B.
C.
Match one of the following answers below to each letter.
A change within the control volume
Outflow of B from the ontrol volume
Inflow of B to the control volume
arrow_forward
'p' (liquid
density
'A' (tank cross
sectional area)
'Qin' (Input Flow Rate)
"Que
P
'R' (restriction coefficient)
'' (head
of liquid)
dh
Qin = A +
dt
Figure 1
The single tank system (Figure 1) has been modelled by the first order differential equation given as
equation. The equation describes the relationship between the input flow rate entering the tank and the
head of liquid in the tank.
ph
R
5 m
equation
The following constants are provided:
R = 40 Kpa s m², 4 = 10 m², p= 1001 kg m², and g = 9.81 m s
A pump is suddenly switched on and provides a step input flow rate of 0.5 m³s¹.
(1) Using Laplace Transforms, solve equation and provide an expression to show how the level in
the tank will vary in time after the step input has been applied.
arrow_forward
i+ %33 0 13:32
HEAT TRANSFER HW3_2020 - Kaydedildi
Note you can check these equation from the text boks as well.
w m md w
HW6
A solid copper sphere of 10 cm diameter [ p=8954 kg/m³, C,=383 J/(kg K), k=386 W/(mK)]
initially at a uniform temperature Ti=250 C, is suddenly immersed in a well stirred fluid
which is maintained at a uniform temperature Tinf-50 C. The heat transfer coefficient between
the sphere and the fluid is h=200 W/(m²K)
ww
a) Checked whether the lumped system analysis is suitable
b) If it is suitable, determine the temperature of the copper block at t=5,10 and 20 min after the
immersion
wmw m
w w ww
HW7
0.1 m thick brick Wall [a=0.5x10-6 m²/s, k=0.69 W/(mK) and p=2300 kg/m³] is initially at T-230 C.
The wall is suddenly exposed to a convective environment at Tinf-30 C with a heat transfer
coefficient h=60 W/(m²K). By using serial solution determine
a) The center temperature at 1/2 , 2 and 4 h after exposure to the cooler environment
b) The surface temperature at ½ and 2…
arrow_forward
Case study: Roots of equation (use any method under finding roots of equation)
Problem:
Mechanical engineers, as well as most other engineers, use thermodynamics extensively in their work.
The following polynomial can be used to relate the zero-pressure specific heat of dry air, cp kJ/(kg K), to
temperature (K):
C, = 0.99403 + 1.671 × 10 *T + 9.7215 × 10 *7²
-9.5838 × 10 "T³ + 1.9520 × 10¯Upt
Determine the temperature that corresponds to a specific heat of 1.2 kJ/[kg K).
arrow_forward
立
Bb Slide 1
X 2 28010712
plackboardcdn.com/5c082fb7a0cdb/28010712?X-Blackboard-Expiration3D1645034400000&X-Blackboard-Signature=D06jX8mbU.. LE
Seneca Virtual Com...
乙/ L
%001
Problem set # 4 Chapter 5
1) A reservoir of water is drained by a 254mm diameter, square-edge orifice with center
elevation 88.12m that flows directly into a stream with water surface at elevation
89.49m. The elevation of the reservoir surface is 90.48m. Find the flow through the
orifice.
2) A 150-mm- diameter, square-edge orifice convey flow from a reservoir with water level
at elevation 79.25m. the center of the orifice is at elevațion 66.10 m. Find the discharge
for the free flow.
3) In problem 2 if the tail water is at elevation 71.98m, what is the discharge?
4) Find the discharge over a 90° V-notch weir if the head is 190.5mm.
5) Using the diagram below, find the discharge over the rectangular, sharp-crest weir
Elev 37.00
Crest elev. 36.58
Channel
inv. 36.12
O 7°C Cloudy
ョ ((Dツ
hp
du
arrow_forward
Part d-f
arrow_forward
The following results were obtained in flowing dry gas through a cleaned extracted dried core plug:
Core dimensions: Diameter 1 in., Length 1 In.
Gas viscosity 0.02 cp
Upstream pressure
Downstream pressure
Flow rate
(mm Hg)
(mm Hg)
(standard conditions) (cm/min)
860
760
1270
760
36
2280
760
129
Evaluate the permeability of the sample after Klinkenberg correction.
arrow_forward
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- Needs Complete typed solution with 100 % accuracy. Don't use chat gpt or ai i definitely upvote you.arrow_forward3. Microfluidic channels will need to be fabricated on a key micro-scale sensor used by aerospace industries. Before running machining tests and analyzing machined quality, preliminary efforts are needed to evaluate selected materials and factors affecting machining process¹. Three material candidates have been selected, including 422SS (stainless steel), IN718 (nickel alloy), and Ti64 (titanium alloy) with their measured tensile properties and equation of true stress-true strain relationship used listed below. Tref25°C. Specifically, three factors will need to be evaluated, including different materials, temperature, and size effect. Please calculate true stress values for true strain ranging between 0-3 for each case listed below. Material A (MPa) & (S-¹) Tm (°C) 870 0.01 1520 422SS (Peyre et al., 2007) IN718 (Kobayashi et al., 2008) Ti64 (Umbrello, 2008) 980 1 1300 782.7 1E-5 1660 Material 422SS (CINDAS, 2011) IN718 (Davis, 1997) Ti64 (Fukuhara and Sanpei, 1993) 0 = X G (GPa) 1+ B…arrow_forward'p' (liquid density 'A' (tank cross sectional area) Qin' (Input Flow Rate) P 'R' (restriction coefficient) dh Qin = A + dt '' (head of liquid) Figure 1 The single tank system (Figure 1) has been modelled by the first order differential equation given as equation. The equation describes the relationship between the input flow rate entering the tank and the head of liquid in the tank. Pi R h 5 m equation + The following constants are provided: R = 40 Kpa s m², 4 = 10 m², p= 1001 kg m², and g = 9.81 m s A pump is suddenly switched on and provides a step input flow rate of 0.5 m³s¹¹. (1) Using Laplace Transforms, solve equation and provide an expression to show how the level in the tank will vary in time after the step input has been applied. (ii) Build a Simulink model and validate the results from Part 1 (i).arrow_forward
- Use Matlabarrow_forwardPlease explainarrow_forwardNeed help with engineering problem. Match the RTT term with its explanation: A: ddt(∫CVβρdᏉ) B: ∫CSβρVcosθdAout C: ∫CSβρVcosθdAin A. B. C. Match one of the following answers below to each letter. A change within the control volume Outflow of B from the ontrol volume Inflow of B to the control volumearrow_forward
- 'p' (liquid density 'A' (tank cross sectional area) 'Qin' (Input Flow Rate) "Que P 'R' (restriction coefficient) '' (head of liquid) dh Qin = A + dt Figure 1 The single tank system (Figure 1) has been modelled by the first order differential equation given as equation. The equation describes the relationship between the input flow rate entering the tank and the head of liquid in the tank. ph R 5 m equation The following constants are provided: R = 40 Kpa s m², 4 = 10 m², p= 1001 kg m², and g = 9.81 m s A pump is suddenly switched on and provides a step input flow rate of 0.5 m³s¹. (1) Using Laplace Transforms, solve equation and provide an expression to show how the level in the tank will vary in time after the step input has been applied.arrow_forwardi+ %33 0 13:32 HEAT TRANSFER HW3_2020 - Kaydedildi Note you can check these equation from the text boks as well. w m md w HW6 A solid copper sphere of 10 cm diameter [ p=8954 kg/m³, C,=383 J/(kg K), k=386 W/(mK)] initially at a uniform temperature Ti=250 C, is suddenly immersed in a well stirred fluid which is maintained at a uniform temperature Tinf-50 C. The heat transfer coefficient between the sphere and the fluid is h=200 W/(m²K) ww a) Checked whether the lumped system analysis is suitable b) If it is suitable, determine the temperature of the copper block at t=5,10 and 20 min after the immersion wmw m w w ww HW7 0.1 m thick brick Wall [a=0.5x10-6 m²/s, k=0.69 W/(mK) and p=2300 kg/m³] is initially at T-230 C. The wall is suddenly exposed to a convective environment at Tinf-30 C with a heat transfer coefficient h=60 W/(m²K). By using serial solution determine a) The center temperature at 1/2 , 2 and 4 h after exposure to the cooler environment b) The surface temperature at ½ and 2…arrow_forwardCase study: Roots of equation (use any method under finding roots of equation) Problem: Mechanical engineers, as well as most other engineers, use thermodynamics extensively in their work. The following polynomial can be used to relate the zero-pressure specific heat of dry air, cp kJ/(kg K), to temperature (K): C, = 0.99403 + 1.671 × 10 *T + 9.7215 × 10 *7² -9.5838 × 10 "T³ + 1.9520 × 10¯Upt Determine the temperature that corresponds to a specific heat of 1.2 kJ/[kg K).arrow_forward
- 立 Bb Slide 1 X 2 28010712 plackboardcdn.com/5c082fb7a0cdb/28010712?X-Blackboard-Expiration3D1645034400000&X-Blackboard-Signature=D06jX8mbU.. LE Seneca Virtual Com... 乙/ L %001 Problem set # 4 Chapter 5 1) A reservoir of water is drained by a 254mm diameter, square-edge orifice with center elevation 88.12m that flows directly into a stream with water surface at elevation 89.49m. The elevation of the reservoir surface is 90.48m. Find the flow through the orifice. 2) A 150-mm- diameter, square-edge orifice convey flow from a reservoir with water level at elevation 79.25m. the center of the orifice is at elevațion 66.10 m. Find the discharge for the free flow. 3) In problem 2 if the tail water is at elevation 71.98m, what is the discharge? 4) Find the discharge over a 90° V-notch weir if the head is 190.5mm. 5) Using the diagram below, find the discharge over the rectangular, sharp-crest weir Elev 37.00 Crest elev. 36.58 Channel inv. 36.12 O 7°C Cloudy ョ ((Dツ hp duarrow_forwardPart d-farrow_forwardThe following results were obtained in flowing dry gas through a cleaned extracted dried core plug: Core dimensions: Diameter 1 in., Length 1 In. Gas viscosity 0.02 cp Upstream pressure Downstream pressure Flow rate (mm Hg) (mm Hg) (standard conditions) (cm/min) 860 760 1270 760 36 2280 760 129 Evaluate the permeability of the sample after Klinkenberg correction.arrow_forward
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Recommended textbooks for you
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning

Principles of Heat Transfer (Activate Learning wi...
Mechanical Engineering
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Cengage Learning