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

Videos

Question
Book Icon
Chapter 19, Problem 123RQ

(a)

To determine

The rate of heat transfer to the iced water in the tank.

(a)

Expert Solution
Check Mark

Explanation of Solution

Given:

The temperature (Ts,in) of air is 0°C.

The temperature (Tsurr) of tank located outdoor is 30°C.

The velocity (vl) of air is 25km/hr.

The internal diameter (di) of tank is 3m.

The thickness (t) of the tank is 1cm.

The thermal conductivity of tank is 15W/mK.

The surrounding surface temperature (Ts) from tank is 25°C.

The emissivity (ε) of the tank is 0.75.

The heat of fusion (hif) of water is 333.7kJ/kg.

The Stefan Boltzmann constant (σ) is 5.67×108W/m2K.

Calculation:

Refer to the table A-22 “properties of air at 1 atm pressure”.

Obtain properties of the air corresponding to the free stream temperature of 30°C as follows:

k=0.02588W/mK

Pr=0.7282

v=1.608×105m2/s

μ=1.872×105kg/ms

μs=1.729×105kg/ms

Calculate the outer diameter by using the relation.

  D=di+(2×t)=3m+(2×(1cm×1×102m1cm))=3.02m

Calculate the Reynolds number by using the relation.

  Re=vlDv=(25km/hr×10003600m/s1km/hr)×3.02m1.608×105m2/s=1.304×106

Calculate the heat transfer coefficient by using the relation.

  h=kD×((2)+(0.4(Re)0.5+0.06Re23)Pr0.4(μμs)14)h=[0.02588W/mK3.02m×((2)+(0.4(1.304×106)0.5+0.06(1.304×106)23)×0.72820.4(1.872×105kg/ms1.729×105kg/ms)14)]=9.05W/m2K

Calculate the radius of sphere by using the equation.

  Rsphere=D2d124πkr1r2=3.02m23m24×π×0.02588W/mK×3.02m2×3m2=2.342×105K/W

Calculate the heat transfer through the tank by conduction by using the relation

  Q˙throghtank=Q˙cond+rad(Ts,outTs,inRsphere)=hπD2(TsurrTs,out)+επD2σ(Ts4Ts,out4)(Ts,out(0°C+273)K2.342×105K/W)=[9.05W/mK×π×(3.02m)2((30°C+273)KTs,out)+0.75×π(3.02m)2×5.67×108W/m2K4(((25°C+273)K)4((Ts,out+273)K)4)]Ts,out=(273.25K273)°C=0.25°C

Calculate the rate of heat transfer by using the relation.

  Q˙=Ts,outTs,inRsphere=(0.25°C+273)K(0°C+273)K2.342×105K/W=10674.6W

Thus, the rate of heat transfer is 10674.6W.

(b)

To determine

The amount of ice that melts during 24hr.

(b)

Expert Solution
Check Mark

Explanation of Solution

Calculation:

Calculate the amount of heat transfer during 24hr by using the relation.

  Q=Q˙Δt=(10674.6J/s×11000kJ1J)×(24hr×3600s1hr)=909880kJ

Calculate the amount of ice that melts during 24hr by using the relation.

  m˙=Qhif=909880kJ333.7kJ/kg=2726.64kg2727kg

Thus the amount of ice that melts during 24hr is 2727kg.

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 19 Solutions

Fundamentals of Thermal-Fluid Sciences

Ch. 19 - The upper surface of a 50-cm-thick solid plate (k...Ch. 19 - Prob. 12PCh. 19 - During air cooling of oranges, grapefruit, and...Ch. 19 - During air cooling of steel balls, the convection...Ch. 19 - Prob. 15PCh. 19 - Water at 43.3°C flows over a large plate at a...Ch. 19 - Prob. 17PCh. 19 - Hot engine oil at 150°C is flowing in parallel...Ch. 19 - Prob. 19PCh. 19 - Prob. 22PCh. 19 - Prob. 23PCh. 19 - Prob. 24PCh. 19 - Prob. 25PCh. 19 - Prob. 27PCh. 19 - Prob. 28PCh. 19 - Prob. 30PCh. 19 - Prob. 31PCh. 19 - Solar radiation is incident on the glass cover of...Ch. 19 - Liquid mercury at 250°C is flowing with a velocity...Ch. 19 - Prob. 35PCh. 19 - Prob. 36PCh. 19 - Air is flowing in parallel over the upper surface...Ch. 19 - Prob. 40PCh. 19 - Consider laminar flow of air across a hot circular...Ch. 19 - Prob. 42PCh. 19 - A heated long cylindrical rod is placed in a cross...Ch. 19 - A person extends his uncovered arms into the windy...Ch. 19 - Prob. 46PCh. 19 - Prob. 47PCh. 19 - Prob. 49PCh. 19 - Consider a person who is trying to keep cool on a...Ch. 19 - A 12-ft-long, 1.5-kW electrical resistance wire is...Ch. 19 - Prob. 52PCh. 19 - Prob. 53PCh. 19 - Prob. 55PCh. 19 - Prob. 56PCh. 19 - A 10-cm-diameter, 30-cm-high cylindrical bottle...Ch. 19 - Prob. 58PCh. 19 - An incandescent lightbulb is an inexpensive but...Ch. 19 - Prob. 60PCh. 19 - Prob. 61PCh. 19 - Prob. 62PCh. 19 - A coated sheet is being dried with hot air blowing...Ch. 19 - Prob. 65PCh. 19 - Consider laminar forced convection in a circular...Ch. 19 - Consider turbulent forced convection in a circular...Ch. 19 - What does the logarithmic mean temperature...Ch. 19 - Prob. 69PCh. 19 - Prob. 70PCh. 19 - Prob. 71PCh. 19 - Prob. 72PCh. 19 - Prob. 73PCh. 19 - Cooling water available at 10°C is used to...Ch. 19 - Prob. 75PCh. 19 - Inside a condenser, there is a bank of seven...Ch. 19 - Prob. 79PCh. 19 - Prob. 81PCh. 19 - Prob. 82PCh. 19 - In a thermal system, water enters a 25-mm-diameter...Ch. 19 - Prob. 84PCh. 19 - Prob. 85PCh. 19 - Prob. 86PCh. 19 - Prob. 88PCh. 19 - Prob. 89PCh. 19 - Prob. 90PCh. 19 - Glycerin is being heated by flowing between two...Ch. 19 - Determine the convection heat transfer coefficient...Ch. 19 - Prob. 94PCh. 19 - Water is to be heated from 10°C to 80°C as it...Ch. 19 - Consider a fluid with a Prandtl number of 7...Ch. 19 - The hot water needs of a household are to be met...Ch. 19 - Prob. 98PCh. 19 - Prob. 99PCh. 19 - Hot air at atmospheric pressure and 85°C enters a...Ch. 19 - Prob. 102PCh. 19 - Prob. 104PCh. 19 - Prob. 105PCh. 19 - Prob. 106PCh. 19 - Prob. 107RQCh. 19 - Prob. 108RQCh. 19 - The passenger compartment of a minivan traveling...Ch. 19 - Prob. 110RQCh. 19 - Prob. 111RQCh. 19 - Prob. 112RQCh. 19 - Prob. 113RQCh. 19 - Prob. 114RQCh. 19 - Prob. 115RQCh. 19 - Prob. 116RQCh. 19 - Airstream at 1 atm flows, with a velocity of 15...Ch. 19 - Prob. 118RQCh. 19 - Prob. 119RQCh. 19 - Prob. 120RQCh. 19 - Prob. 121RQCh. 19 - A 3-m-internal-diameter spherical tank made of...Ch. 19 - Prob. 123RQCh. 19 - Prob. 124RQCh. 19 - Prob. 125RQCh. 19 - Prob. 126RQCh. 19 - Prob. 127RQCh. 19 - Prob. 128RQCh. 19 - Prob. 129RQCh. 19 - Prob. 130RQCh. 19 - Prob. 131RQCh. 19 - Prob. 132RQCh. 19 - Prob. 133RQCh. 19 - Prob. 134RQCh. 19 - Prob. 135RQCh. 19 - Prob. 136RQCh. 19 - Prob. 137RQCh. 19 - Prob. 138RQCh. 19 - Prob. 139RQCh. 19 - Prob. 140RQCh. 19 - Liquid water enters a 10-m-long smooth rectangular...
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
Heat Transfer – Conduction, Convection and Radiation; Author: NG Science;https://www.youtube.com/watch?v=Me60Ti0E_rY;License: Standard youtube license