Paraffin wax is a phase change material that is used to store thermal energy. It changes phase from a solid to a liquid at T = 27.4 "C, where the latent heat of fusion in this process is h sf= 244 kJkg and the paraffin wax density is p= 770 kg'm3. In order to store the heat, a flow of hot water is sent through a thin-walled pipe of diameter D = 0.025 m and the heat from the water transfers into the surrounding paraffin wax as shown below. [Assume thin walls and therefore do not consider conduction in the walls] T-274 "C May=244 ki kg p=770 kg/m D=0.025 m The thermophysical properties of water are: c= 4.185 kJ kgK, k=0.653 W/mK = 467 x10-6 kg's.m, Pr = 2.99, Energy balance where AE=pVhuf] Calculation - 1) Assuming that the surface temperature of the tube is equal to Tocalong its entire length, find the temperature of the water at the outlet Zm.e 2) Heat transfer rate over the total length of the pipe with a mass flow rate, inlet temperature and dimensions shown in the figure below. 3) Time to complete liquefy the paraffin wax. D= 0.025 m Tmo H=0.25 m Paraffin Water m = 0.1 kg/s Tmi=60 °C W = 0.25 m+ L=3m 6:22 PM
Paraffin wax is a phase change material that is used to store thermal energy. It changes phase from a solid to a liquid at T = 27.4 "C, where the latent heat of fusion in this process is h sf= 244 kJkg and the paraffin wax density is p= 770 kg'm3. In order to store the heat, a flow of hot water is sent through a thin-walled pipe of diameter D = 0.025 m and the heat from the water transfers into the surrounding paraffin wax as shown below. [Assume thin walls and therefore do not consider conduction in the walls] T-274 "C May=244 ki kg p=770 kg/m D=0.025 m The thermophysical properties of water are: c= 4.185 kJ kgK, k=0.653 W/mK = 467 x10-6 kg's.m, Pr = 2.99, Energy balance where AE=pVhuf] Calculation - 1) Assuming that the surface temperature of the tube is equal to Tocalong its entire length, find the temperature of the water at the outlet Zm.e 2) Heat transfer rate over the total length of the pipe with a mass flow rate, inlet temperature and dimensions shown in the figure below. 3) Time to complete liquefy the paraffin wax. D= 0.025 m Tmo H=0.25 m Paraffin Water m = 0.1 kg/s Tmi=60 °C W = 0.25 m+ L=3m 6:22 PM
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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![Paraffin wax is a phase change material that is used to store thermal energy. It
changes phase from a solid to a liquid at To = 27.4 "C, where the latent heat of
fusion in this process is h sf= 244 kJkg and the paraffin wax density is p= 770
kg/m3. In order to store the heat, a flow of hot water is sent through a thin-walled
pipe of diameter D = 0.025 m and the heat from the water transfers into the
surrounding paraffin wax as shown below.
[Assume thin walls and therefore do not consider conduction in the walls]
T-27.4 °C
ha-244 kJkg
p=770 kg/m?
D=0.025 m
The thermophysical properties of water are: cp= 4.185 kJkg.K. k= 0.653 W/m.K
= 467 x10-6 kg/s m, Pr = 2.99, Energy balance where AE=pVhuf]
Calculation -
1) Assuming that the surface temperature of the tube is equal to T'calong its entire
length, find the temperature of the water at the outlet Tm.o
2) Heat transfer rate over the total length of the pipe with a mass flow rate, inlet
temperature and dimensions shown in the figure below.
3) Time to complete liquefy the paraffin wax.
D= 0.025 m
Tmo
H= 0.25 m
Paraffin
Water
m =D0.1 kg/s
Tmi =60°C
w = 0.25 m+
L=3m
6:33 PM](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa65ccfd6-19b3-416e-8e04-59422e9913ee%2F6ccbd130-f456-490e-9de2-b4129c293168%2Fe2njtzn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Paraffin wax is a phase change material that is used to store thermal energy. It
changes phase from a solid to a liquid at To = 27.4 "C, where the latent heat of
fusion in this process is h sf= 244 kJkg and the paraffin wax density is p= 770
kg/m3. In order to store the heat, a flow of hot water is sent through a thin-walled
pipe of diameter D = 0.025 m and the heat from the water transfers into the
surrounding paraffin wax as shown below.
[Assume thin walls and therefore do not consider conduction in the walls]
T-27.4 °C
ha-244 kJkg
p=770 kg/m?
D=0.025 m
The thermophysical properties of water are: cp= 4.185 kJkg.K. k= 0.653 W/m.K
= 467 x10-6 kg/s m, Pr = 2.99, Energy balance where AE=pVhuf]
Calculation -
1) Assuming that the surface temperature of the tube is equal to T'calong its entire
length, find the temperature of the water at the outlet Tm.o
2) Heat transfer rate over the total length of the pipe with a mass flow rate, inlet
temperature and dimensions shown in the figure below.
3) Time to complete liquefy the paraffin wax.
D= 0.025 m
Tmo
H= 0.25 m
Paraffin
Water
m =D0.1 kg/s
Tmi =60°C
w = 0.25 m+
L=3m
6:33 PM
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