Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
EXAMPLE I Aspherical container of inner radius rl 2 m, outer radius r2 2.1 m. and thermal conductivity k= 30 W/m C is filled with iced water at 0°C. The container is gaining heat by convection from the surrounding air at T = 25°C with a heat transfer coefficient ofh= 18 W/m2 °C. Assuming the inner surface temperature of the container to be 0°C, a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the container b) obtain a relation for the variation of temperature in the container by solving the differential equation c) evaluate the rate of heat gain to the iced water. EXAMPLE 2 Consider a 0.6 m high and 1.2 m wide double-pane window consisting of two 4 mm thick layers of glass (k-0.78 W/m K) separated by a 10 mm wide stagnant air space (k 0.026 W/m K). Determine the steady rate of heat transfer through this double-pane window and the temperature of its inner surface for a day during which the room is maintained at 20°C while the temperature of the outdoors is -5 °C. Take the convection heat transfer cocfficients on the inner and outer surfaces of the window to be hl=10Wim2-K and h2-40W/m2K which includes the effects of radiation. Glee AAA

EXAMPLE I Aspherical container of inner radius rl 2 m, outer radius r2 2.1 m. and thermal conductivity k= 30 W/m C is filled with iced water at 0°C. The container is gaining heat by convection from the surrounding air at T = 25°C with a heat transfer coefficient ofh= 18 W/m2 °C. Assuming the inner surface temperature of the container to be 0°C, a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the container b) obtain a relation for the variation of temperature in the container by solving the differential equation c) evaluate the rate of heat gain to the iced water. EXAMPLE 2 Consider a 0.6 m high and 1.2 m wide double-pane window consisting of two 4 mm thick layers of glass (k-0.78 W/m K) separated by a 10 mm wide stagnant air space (k 0.026 W/m K). Determine the steady rate of heat transfer through this double-pane window and the temperature of its inner surface for a day during which the room is maintained at 20°C while the temperature of the outdoors is -5 °C. Take the convection heat transfer cocfficients on the inner and outer surfaces of the window to be hl=10Wim2-K and h2-40W/m2K which includes the effects of radiation. Glee AAA

Elements Of Electromagnetics
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
See similar textbooks
icon
Related questions
Question
None
EXAMPLE 1 Aspherical container of inner radius rl 2 m., outer radius r2=2.1 m, and thermal conductivity k= 30 W/m °C is filled with iced water at 0°C. The container is gaining heat by convection from the surrounding air at T = 25°C with a heat transfer coefficient of h = 18 W/m2 C. Assuming the inner surface temperature of the container to be 0°C, a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the container b) obtain a relation for the variation of temperature in the container by solving the differential equation c) evaluate the rate of heat gain to the iced water. EXAMPLE 2 Consider a 0.6 m high and 1.2 m wide double-pane window consisting of two 4 mm thick layers of glass (k= 0.78 W/m K) separated by a 10 mm wide stagnant air space (k 0.026 W/m K). Determine the steady rate of heat transfer through this double-pane window and the temperature of its inner surface for a day during which the room is maintained at 20°C while the temperature of the outdoors is -5 °C. Take the convection heat transfer coefficients on the inner and outer surfaces of the window to be hl=10W/m2-K and h2-40W/m2.K which includes the effects of radiation. Glee Glae Air T A
Transcribed Image Text:EXAMPLE 1 Aspherical container of inner radius rl 2 m., outer radius r2=2.1 m, and thermal conductivity k= 30 W/m °C is filled with iced water at 0°C. The container is gaining heat by convection from the surrounding air at T = 25°C with a heat transfer coefficient of h = 18 W/m2 C. Assuming the inner surface temperature of the container to be 0°C, a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the container b) obtain a relation for the variation of temperature in the container by solving the differential equation c) evaluate the rate of heat gain to the iced water. EXAMPLE 2 Consider a 0.6 m high and 1.2 m wide double-pane window consisting of two 4 mm thick layers of glass (k= 0.78 W/m K) separated by a 10 mm wide stagnant air space (k 0.026 W/m K). Determine the steady rate of heat transfer through this double-pane window and the temperature of its inner surface for a day during which the room is maintained at 20°C while the temperature of the outdoors is -5 °C. Take the convection heat transfer coefficients on the inner and outer surfaces of the window to be hl=10W/m2-K and h2-40W/m2.K which includes the effects of radiation. Glee Glae Air T A
Expert Solution
steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Buckling of Columns
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.
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
SEE MORE TEXTBOOKS