Fruit is impeded from ripening when it reaches high temperatures (>32°C). Farmer Joe is worried that Deleware's summer heat wave will affect the ripening of his ground cherries. The spherical fruit (1 cm in diameter) is surrounded by a spherical papery husk (λhusk = 0.3 W/m K) with an inner diameter of 2 cm and an outer diameter of 2.1 cm. The air in between the fruit and the husk is stagnant (λair = 0.03 W/m K). On a calm day in July, the deleware air (outside of the husk) is very warm, with a temperature of ~38°C and a heat transfer coefficient of h deleware,calm = 10 W/m 2K. (a) Sketch the system, labeling all temperatures, dimensions, and proportionality constants. (b) sketch the electrical analogy tothis system, labeling all temperatures, resistances, and heat flows (c) what is the overall resistance to heat transfer from the air in Deleware to the fruit?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question

Fruit is impeded from ripening when it reaches high temperatures (>32°C). Farmer Joe is
worried that Deleware's summer heat wave will affect the ripening of his ground cherries.
The spherical fruit (1 cm in diameter) is surrounded by a spherical papery husk (λhusk = 0.3
W/m K) with an inner diameter of 2 cm and an outer diameter of 2.1 cm. The air in between
the fruit and the husk is stagnant (λair = 0.03 W/m K). On a calm day in July, the deleware
air (outside of the husk) is very warm, with a temperature of ~38°C and a heat transfer
coefficient of h deleware,calm = 10 W/m 2K.

(a) Sketch the system, labeling all temperatures, dimensions, and proportionality constants.

(b) sketch the electrical analogy tothis system, labeling all temperatures, resistances, and heat flows

(c) what is the overall resistance to heat transfer from the air in Deleware to the fruit? 

Expert Solution
Step 1: Given

The thermal conductivity of of husk is k subscript 1 equals 0.3 space W divided by m K

The radius of fruit is r subscript 1 equals 1 half space c m equals 0.005 space m.

The inner radius of husk is r subscript 2 equals 2 over 2 space c m equals 0.01 space m.

The outer radius of husk is r subscript 3 equals fraction numerator 2.1 over denominator 2 end fraction space c m equals 0.0105 space m.

The thermal conductivity of air between fruit and husk is k subscript 2 equals 0.03 space W divided by m K.

The conductive heat transfer coefficient is h equals 10 W divided by m squared K

The outside temperature is T subscript o equals 38 degree C

steps

Step by step

Solved in 4 steps with 16 images

Blurred answer
Knowledge Booster
Convection
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY