Fundamentals of Thermal-Fluid Sciences
Fundamentals of Thermal-Fluid Sciences
5th Edition
ISBN: 9780078027680
Author: Yunus A. Cengel Dr., Robert H. Turner, John M. Cimbala
Publisher: McGraw-Hill Education
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 21, Problem 113P
To determine

The initial rate of radiation heat transfer from the coal bricks to the steaks.

The initial rate of radiation heat transfer to the steaks if the side opening of the grill is covered by aluminum foil, which can be approximated as a reradiating surface.

Expert Solution & Answer
Check Mark

Explanation of Solution

Given:

The diameter of the circular grill (di) is 0.3m.

The initial temperature (T1) is 950K.

The final temperature (T2) is 5°C.

The distance between the coal bricks and the steaks (L) is 0.20m.

Calculation:

The below figure represent the required diagram.

Fundamentals of Thermal-Fluid Sciences, Chapter 21, Problem 113P

Figure-(1)

Calculate the ratio of the radius of the circular grill and distance between the coal bricks and the steaks (Ri) using the relation.

  Ri=(Rj)=riL=(di2)L=(0.3m2)0.20m=0.75

Calculate the size factor (S) using the relation.

  S=1+1+Rj2Ri2=1+1+(0.75)2(0.75)2=3.7778

Calculate the view factor between the bricks and the steaks (F12) using the relation.

  F12=12[S{S24(RjRi)1/2}]=12[(3.7778){(3.7778)24(0.750.75)2}1/2]=12[(3.7778)(3.2049)]=0.2864

Calculate the initial rate of radiation heat transfer from the coal bricks to the steaks (Q12) using the relation.

  Q12=F12A1σ(T14T24)=F12(πd24)σ(T14T24)=(0.2864){π(0.3m)24}(5.67×108W/m2K4){(950K)4(5°C)4}=(0.2864){π(0.3m)24}(5.67×108W/m2K4){(950K)4((5°C+273)K)4}=928.08W

Thus, the initial rate of radiation heat transfer from the coal bricks to the steaks is 928.08W.

Calculate the initial rate of radiation heat transfer to the steaks if the side opening of the grill is covered by aluminum foil, which can be approximated as a reradiating surface (Q1) using the relation.

  Q1=(Eb1Eb2)(1R12+1R13+R23)=(σT14σT24)[1(1A1F12)+1(1A2F13)+(1A2F23)]=(σT14σT24)[1{1(πdi24)F12}+1{1(πdi24)(1F12)}+{1(πdi24)(1F12)}]=[{(5.67×108W/m2K4)(950K)4(5.67×108W/m2K4)(5°C)4}×[1{1(π(0.3m)24)(0.2864)}+1{1(π(0.3m)24)(10.2864)}+{1(π(0.3m)24)(10.2864)}]]    Q1={(5.67×108W/m2K4)(950K)4(5.67×108W/m2K4){(5°C+273)K}4}(0.0202m2+0.0252m2)=(46182.504W/m2338.6587W/m2)(0.0454m2)=2081.21W

Thus, the initial rate of radiation heat transfer to the steaks if the side opening of the grill is covered by aluminum foil, which can be approximated as a reradiating surface is 2081.21W.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Chapter 21 Solutions

Fundamentals of Thermal-Fluid Sciences

Ch. 21 - A radio station is broadcasting radio waves at a...Ch. 21 - Prob. 12PCh. 21 - Prob. 13PCh. 21 - Prob. 14PCh. 21 - Prob. 15PCh. 21 - Define the total and spectral blackbody emissive...Ch. 21 - Prob. 17PCh. 21 - Prob. 18PCh. 21 - Prob. 19PCh. 21 - Prob. 20PCh. 21 - A small body is placed inside of a spherical...Ch. 21 - Prob. 23PCh. 21 - A thin vertical copper plate is subjected to a...Ch. 21 - Prob. 25PCh. 21 - Prob. 26PCh. 21 - The temperature of the filament of an incandescent...Ch. 21 - The temperature of the filament of an incandescent...Ch. 21 - Prob. 30PCh. 21 - Prob. 31PCh. 21 - Prob. 32PCh. 21 - Prob. 33PCh. 21 - Prob. 34PCh. 21 - Define the properties emissivity and absorptivity....Ch. 21 - Define the properties reflectivity and...Ch. 21 - Prob. 37PCh. 21 - Prob. 38PCh. 21 - A furnace that has a 40-cm × 40-cm glass window...Ch. 21 - Prob. 40PCh. 21 - The emissivity of a tungsten filament can be...Ch. 21 - Prob. 42PCh. 21 - Prob. 43PCh. 21 - Prob. 44PCh. 21 - Prob. 45PCh. 21 - Prob. 46PCh. 21 - An opaque horizontal plate is well insulated on...Ch. 21 - Prob. 48PCh. 21 - Prob. 49PCh. 21 - Prob. 50PCh. 21 - What does the view factor represent? When is the...Ch. 21 - How can you determine the view factor F12 when the...Ch. 21 - What are the summation rule and the superposition...Ch. 21 - Prob. 54PCh. 21 - Consider two coaxial parallel circular disks of...Ch. 21 - Consider two coaxial parallel circular disks of...Ch. 21 - Prob. 57PCh. 21 - Prob. 58PCh. 21 - Prob. 59PCh. 21 - Prob. 60PCh. 21 - Determine the four view factors associated with an...Ch. 21 - Prob. 62PCh. 21 - Prob. 63PCh. 21 - Prob. 64PCh. 21 - Prob. 65PCh. 21 - Prob. 66PCh. 21 - Determine the view factors F13 and F23 between the...Ch. 21 - Prob. 68PCh. 21 - Prob. 69PCh. 21 - Two infinitely long parallel plates of width w are...Ch. 21 - Prob. 71PCh. 21 - Prob. 72PCh. 21 - Prob. 73PCh. 21 - Why is the radiation analysis of enclosures that...Ch. 21 - Prob. 75PCh. 21 - Prob. 76PCh. 21 - Prob. 77PCh. 21 - What are the two methods used in radiation...Ch. 21 - Prob. 79PCh. 21 - Prob. 80PCh. 21 - Prob. 82PCh. 21 - Two black parallel rectangles with dimensions 3 ft...Ch. 21 - Prob. 84PCh. 21 - Prob. 85PCh. 21 - Prob. 86PCh. 21 - Prob. 87PCh. 21 - Prob. 88PCh. 21 - Consider a hemispherical furnace of diameter D = 5...Ch. 21 - A dryer is shaped like a long semicylindrical duct...Ch. 21 - Prob. 91PCh. 21 - Prob. 92PCh. 21 - Prob. 93PCh. 21 - Prob. 94PCh. 21 - Prob. 95PCh. 21 - Prob. 96PCh. 21 - Prob. 97PCh. 21 - Prob. 99PCh. 21 - Prob. 100PCh. 21 - Prob. 101PCh. 21 - Reconsider Prob. 21–101. Using an appropriate...Ch. 21 - Air is flowing between two infinitely large...Ch. 21 - Prob. 104PCh. 21 - Prob. 105PCh. 21 - Prob. 106PCh. 21 - Prob. 107PCh. 21 - Prob. 108PCh. 21 - Prob. 109PCh. 21 - Prob. 111PCh. 21 - Prob. 112PCh. 21 - Prob. 113PCh. 21 - Prob. 114PCh. 21 - A 1-m-diameter spherical cavity is maintained at a...Ch. 21 - Prob. 117RQCh. 21 - Prob. 118RQCh. 21 - Prob. 119RQCh. 21 - Prob. 120RQCh. 21 - Prob. 121RQCh. 21 - Prob. 122RQCh. 21 - Prob. 123RQCh. 21 - Prob. 124RQCh. 21 - Prob. 125RQCh. 21 - Consider an enclosure consisting of eight...Ch. 21 - Consider a cylindrical enclosure with A1, A2, and...Ch. 21 - Two parallel back disks are positioned coaxially...Ch. 21 - Two parallel concentric disks, 20 cm and 40 cm in...Ch. 21 - A dryer is shaped like a long semicylindrical duct...Ch. 21 - Prob. 131RQCh. 21 - Prob. 132RQCh. 21 - Prob. 133RQCh. 21 - Prob. 134RQCh. 21 - A 2-m-internal-diameter double-walled spherical...Ch. 21 - Prob. 136RQCh. 21 - Prob. 137RQCh. 21 - Prob. 138RQ
Knowledge Booster
Background pattern image
Mechanical Engineering
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
Text book image
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Text book image
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Text book image
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Text book image
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Text book image
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Text book image
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Understanding Thermal Radiation; Author: The Efficient Engineer;https://www.youtube.com/watch?v=FDmYCI_xYlA;License: Standard youtube license