Consider the thermal system shown below. The temperature of the inflow liquid is kept constant, and the liquid inflow rate G kg/s is also kept constant. For t<0 the system is at steady state, wherein the heat input from the heater is U kcal/s and the temperature of the liquid in tank 2 is 0,°C. At t 0 the heat input is changed from U to U + u where u is small. This change will cause the temperature of the liquid in tank 2 to change from 02 to 02 +82. Taking the change in the heat input from the heater to be the input to the system and the change in the temperature of the liquid in tank 2 to be the output, obtain the transfer function 02(s)/U(s). Assume that the thermal capacitances of tanks 1 and 2 are Ci kcal/°C and C2 kcal/C, respectively, and that the specific heat of the liquid is c kcal/kg°C. The steady-state heat flow rates from tanks 1 and 2 are the same, Q kcal/s. The changes in heat flow rates from tanks 1 and 2 are qi and q2, respectively. %3D Ū+u \b + 0 Tank 1 + 0, O+0, Q+ 42 Tank 2
Consider the thermal system shown below. The temperature of the inflow liquid is kept constant, and the liquid inflow rate G kg/s is also kept constant. For t<0 the system is at steady state, wherein the heat input from the heater is U kcal/s and the temperature of the liquid in tank 2 is 0,°C. At t 0 the heat input is changed from U to U + u where u is small. This change will cause the temperature of the liquid in tank 2 to change from 02 to 02 +82. Taking the change in the heat input from the heater to be the input to the system and the change in the temperature of the liquid in tank 2 to be the output, obtain the transfer function 02(s)/U(s). Assume that the thermal capacitances of tanks 1 and 2 are Ci kcal/°C and C2 kcal/C, respectively, and that the specific heat of the liquid is c kcal/kg°C. The steady-state heat flow rates from tanks 1 and 2 are the same, Q kcal/s. The changes in heat flow rates from tanks 1 and 2 are qi and q2, respectively. %3D Ū+u \b + 0 Tank 1 + 0, O+0, Q+ 42 Tank 2
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Question
![Consider the thermal system shown below. The temperature of the inflow liquid is kept
constant, and the liquid inflow rate G kg/s is also kept constant. For t <0 the system is at
steady state, wherein the heat input from the heater is U kcal/s and the temperature of the
liquid in tank 2 is 0,°C. At t 0 the heat input is changed from U to U + u where u is
small. This change will cause the temperature of the liquid in tank 2 to change from 02 to
02 +82. Taking the change in the heat input from the heater to be the input to the system
and the change in the temperature of the liquid in tank 2 to be the output, obtain the transfer
function 02(s)/U(s). Assume that the thermal capacitances of tanks 1 and 2 are Ci
kcal/°C and C2 kcal/C, respectively, and that the specific heat of the liquid is c kcal/kg°C.
The steady-state heat flow rates from tanks 1 and 2 are the same, Q kcal/s. The changes in
and
heat flow rates from tanks 1 and 2 are
q2, respectively.
U +u
G
Tank 1
O+ 0,
O+ 0,
O+ 42
Tank 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc5c10222-1893-4487-a22f-6a986a6e6bba%2F273a5525-f40f-40a1-9378-3a04e2936016%2Fseqlldc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the thermal system shown below. The temperature of the inflow liquid is kept
constant, and the liquid inflow rate G kg/s is also kept constant. For t <0 the system is at
steady state, wherein the heat input from the heater is U kcal/s and the temperature of the
liquid in tank 2 is 0,°C. At t 0 the heat input is changed from U to U + u where u is
small. This change will cause the temperature of the liquid in tank 2 to change from 02 to
02 +82. Taking the change in the heat input from the heater to be the input to the system
and the change in the temperature of the liquid in tank 2 to be the output, obtain the transfer
function 02(s)/U(s). Assume that the thermal capacitances of tanks 1 and 2 are Ci
kcal/°C and C2 kcal/C, respectively, and that the specific heat of the liquid is c kcal/kg°C.
The steady-state heat flow rates from tanks 1 and 2 are the same, Q kcal/s. The changes in
and
heat flow rates from tanks 1 and 2 are
q2, respectively.
U +u
G
Tank 1
O+ 0,
O+ 0,
O+ 42
Tank 2
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Structural Analysis](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Structural Analysis](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Fundamentals of Structural Analysis](https://www.bartleby.com/isbn_cover_images/9780073398006/9780073398006_smallCoverImage.gif)
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
![Sustainable Energy](https://www.bartleby.com/isbn_cover_images/9781337551663/9781337551663_smallCoverImage.gif)
![Traffic and Highway Engineering](https://www.bartleby.com/isbn_cover_images/9781305156241/9781305156241_smallCoverImage.jpg)
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning