The amount of heat dissipated by a convective heat exchanger is governed by the equation Q=(AT)(A)/C where AT temperature difference between the outside air and heat exchanger, A = cross sectional area of the heat exchanger, and C= reciprocal of convective heat transfer coefficient. The inputs are normally distributed with the following characteristics.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
The amount of heat dissipated by a convective heat exchanger is governed by the equation
Q= (AT)(A)/C
where AT = temperature difference between the outside air and heat exchanger,
A = cross sectional area of the heat exchanger, and
C = reciprocal of convective heat transfer coefficient,
The inputs are normally distributed with the following characteristics.
Lower
Upper
Standard
Variable
Constraint
Constraint
Deviation
AT
10
50
0.02
A
5000
20 000
0.6
0.001
0.001
What are the nominal values for the inputs which would result in the least variation of output and also achieve a heat dissipation value of 100 000. For the answer, list the value of A.
Transcribed Image Text:The amount of heat dissipated by a convective heat exchanger is governed by the equation Q= (AT)(A)/C where AT = temperature difference between the outside air and heat exchanger, A = cross sectional area of the heat exchanger, and C = reciprocal of convective heat transfer coefficient, The inputs are normally distributed with the following characteristics. Lower Upper Standard Variable Constraint Constraint Deviation AT 10 50 0.02 A 5000 20 000 0.6 0.001 0.001 What are the nominal values for the inputs which would result in the least variation of output and also achieve a heat dissipation value of 100 000. For the answer, list the value of A.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman