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In an experiment, the temperature of a hot air sS stream is to be measured by...
HW3: The temperature of a gas stream is measured with a thermocouple. The junction may be...
HW3: The temperature of a gas stream is measured with a thermocouple. The junction may be approximated as a sphere of diameter D=1 mm, k=20 W/(mK), p= 7800 kg/m² and Cp=0.4 kJ/(kgK). The heat transfer coefficient between the junction and the gas stream is h=100 W/(m²K). If the initial temperature of the thermocouple 20 C and gas stream temperature is 100 C, what will be reading of the thermocouple after t=10 seconds?
Solve the differential equation analytically Suppose a thermocouple is to be used to measure the temperature of a hot gas flowing through a duct. The thermocouple junction is initially at ambient tem...
Solve the differential equation analytically
Suppose a thermocouple is to be used to measure the temperature of a hot gas flowing through a duct. The thermocouple junction is initially at ambient temperature Ti-25°C before it is inserted into the gas stream. Hot duct wall Tsur 400°C Gas stream Junction, Tt) 1,-25°C, D p 8500 kg/m3 T 200°C 0.7 mm 400 Jkg.K Approximating the thermocouple junction as a sphere and using the lumped capacitance model, an energy balance on the thermocouple...
Problem 10.17 The temperature of a flowing gas stream is measured using a bare thermocouple, which...
Problem 10.17
The temperature of a flowing gas stream is measured using a bare
thermocouple, which is a spherical metal bead 1.2 mm in diameter.
The properties of the metal are: denisty = 8000 kg/m^3, cp=450
J/kgK, and k= 25 W/mK. The film coefficient between the gas and the
metal is 310 W/m^2K. If the gas temperature suddenly changes from
200C to 210C, how long will it take for the thermocouple to reach
209C?
10.17. The temperature of a flowing...
The temperature T (K) of a steel ball in a hot stream of air can be modeled with the tollowing t ...
The temperature T (K) of a steel ball in a hot stream of air can be modeled with the tollowing t order ordinary differential equation of temperature T (K) with respect to time t (seconds) dT where p is the mass density (7854 kg/m3) c is the specific heat (434 J/(kg-K) Lc is the characteristic length (m) havg is the average convection heat transfer coefficient (25 W/(m2-K) Tin is the temperature of the surrounding fluid (75 K) The characteristic length...
1. (10 points) A spherical thermocouple junction 1 mm in diameter is inserted in a combustion...
1. (10 points) A spherical thermocouple junction 1 mm in diameter is inserted in a combustion chamber to measure the temperature of the products of combustion. The hot gases are at 1000 K and have a velocity of 5 m/s. The thermocouple junction has an emissivity of 50% and the cooled walls of the combustor are at 500 K. The properties of the thermocouple junction are: p = 9000 kg/m”, Cp = 500 J/kg:K, k = 100 W/mK. The properties...
Problem 3 A portable thermocouple is used to measure the air temperature inside of a sauna....
Problem 3 A portable thermocouple is used to measure the air temperature inside of a sauna. The sauna is unbearably hot and a person can only stay for 20 seconds, during which the temperature reading keeps on changing and a steady temperature is not reached. Leaving the thermocouple reader in the sauna for extended period of time has been deemed too risky for an electronics device Fortunately, a transient heat transfer model can be used to extract the temperature in...
A thermocouple is used to measure the temperature of hot air flowing in a duct whose...
A thermocouple is used to measure the temperature of hot air flowing in a duct whose walls are maintained at Tw = 500 K. The thermocouple shows a temperature reading of Tt h = 850 K. Assuming the emissivity of the thermocouple junction to be 0.6, and the convection heat transfer coefficient to be 60 W/m2 · K, (a) draw the thermal resistance network, and (b) determine the actual temperature of the air.
Heat transfer PROBLEMM #2 (75 pts.) TASKSTREAM espenment, a hot air stream is blown over a...
Heat transfer
PROBLEMM #2 (75 pts.) TASKSTREAM espenment, a hot air stream is blown over a mm-diaeter sphere. The peoperties a are k-38 Winn-K), ρ-500 kg/m" and c,-320 J/(kg. K. The hot azrhas a free strea elocity and temperature of F-2 m's and T-177 C, respectively. If the the spbere is T-25 C determine how long it will take for the sphere te reash ietial temperanure of
3. Hot water at an average temperature of 60°C and an average velocity of 0.6 m/s...
3. Hot water at an average temperature of 60°C and an average velocity of 0.6 m/s is flowing through a 5- m section of a thin-walled hot water pipe that has arn outer diameter of 2.5 cm. The pipe passes through the centre of a 14 cm-thick wall filled with fiberglass insulation (k-0.035 W/rm C), If the surfaces of the wall are at 18 C, determine (a) the rate of heat transfer from the pipe to the air in the...
Wind speed 10 m Air Temperature Surface Temperature 10 m Specific Humidity 9a Surface Spec Humidi...
Wind speed 10 m Air Temperature Surface Temperature 10 m Specific Humidity 9a Surface Spec Humidity9 . Calculate the solar insolation at 12h00 noon assuming the season is winter eg. 21 December and the latitude is 18°N (at Puerto Rico), with the equation: 5 m/s 22 С 26 C 15 g/kg 20 g/kg Ta Ts Qs-(sin(d)(S) (insolation fraction) where S is the solar constant 1370 W m-2 d is the sun angle (90 deg latitude -season), and dividing for time...
HW3: The temperature of a gas stream is measured with a thermocouple. The junction may be approximated as a sphere of diameter D=1 mm, k=20 W/(mK), p= 7800 kg/m² and Cp=0.4 kJ/(kgK). The heat transfer coefficient between the junction and the gas stream is h=100 W/(m²K). If the initial temperature of the thermocouple 20 C and gas stream temperature is 100 C, what will be reading of the thermocouple after t=10 seconds?
Solve the differential equation analytically
Suppose a thermocouple is to be used to measure the temperature of a hot gas flowing through a duct. The thermocouple junction is initially at ambient temperature Ti-25°C before it is inserted into the gas stream. Hot duct wall Tsur 400°C Gas stream Junction, Tt) 1,-25°C, D p 8500 kg/m3 T 200°C 0.7 mm 400 Jkg.K Approximating the thermocouple junction as a sphere and using the lumped capacitance model, an energy balance on the thermocouple...
Problem 10.17
The temperature of a flowing gas stream is measured using a bare
thermocouple, which is a spherical metal bead 1.2 mm in diameter.
The properties of the metal are: denisty = 8000 kg/m^3, cp=450
J/kgK, and k= 25 W/mK. The film coefficient between the gas and the
metal is 310 W/m^2K. If the gas temperature suddenly changes from
200C to 210C, how long will it take for the thermocouple to reach
209C?
10.17. The temperature of a flowing...
The temperature T (K) of a steel ball in a hot stream of air can be modeled with the tollowing t order ordinary differential equation of temperature T (K) with respect to time t (seconds) dT where p is the mass density (7854 kg/m3) c is the specific heat (434 J/(kg-K) Lc is the characteristic length (m) havg is the average convection heat transfer coefficient (25 W/(m2-K) Tin is the temperature of the surrounding fluid (75 K) The characteristic length...
1. (10 points) A spherical thermocouple junction 1 mm in diameter is inserted in a combustion chamber to measure the temperature of the products of combustion. The hot gases are at 1000 K and have a velocity of 5 m/s. The thermocouple junction has an emissivity of 50% and the cooled walls of the combustor are at 500 K. The properties of the thermocouple junction are: p = 9000 kg/m”, Cp = 500 J/kg:K, k = 100 W/mK. The properties...
Problem 3 A portable thermocouple is used to measure the air temperature inside of a sauna. The sauna is unbearably hot and a person can only stay for 20 seconds, during which the temperature reading keeps on changing and a steady temperature is not reached. Leaving the thermocouple reader in the sauna for extended period of time has been deemed too risky for an electronics device Fortunately, a transient heat transfer model can be used to extract the temperature in...
Heat transfer
PROBLEMM #2 (75 pts.) TASKSTREAM espenment, a hot air stream is blown over a mm-diaeter sphere. The peoperties a are k-38 Winn-K), ρ-500 kg/m" and c,-320 J/(kg. K. The hot azrhas a free strea elocity and temperature of F-2 m's and T-177 C, respectively. If the the spbere is T-25 C determine how long it will take for the sphere te reash ietial temperanure of
3. Hot water at an average temperature of 60°C and an average velocity of 0.6 m/s is flowing through a 5- m section of a thin-walled hot water pipe that has arn outer diameter of 2.5 cm. The pipe passes through the centre of a 14 cm-thick wall filled with fiberglass insulation (k-0.035 W/rm C), If the surfaces of the wall are at 18 C, determine (a) the rate of heat transfer from the pipe to the air in the...
Wind speed 10 m Air Temperature Surface Temperature 10 m Specific Humidity 9a Surface Spec Humidity9 . Calculate the solar insolation at 12h00 noon assuming the season is winter eg. 21 December and the latitude is 18°N (at Puerto Rico), with the equation: 5 m/s 22 С 26 C 15 g/kg 20 g/kg Ta Ts Qs-(sin(d)(S) (insolation fraction) where S is the solar constant 1370 W m-2 d is the sun angle (90 deg latitude -season), and dividing for time...
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