In the diagram below, metal 1 is made of gold and metal 2 is aluminum. Both bars have the same length and area of cross-section but their thermal conductivities are different. Thetemperature Th is maintained at a constant 88.0°C at the end A while the temperature T, at the end B is maintained at 19.0°C.A.Tmetal 1metal 2T(a) What is the temperature T; at the junction of the two bars? The thermal conductivity of gold is 318 J/(s · m · °C) and that for aluminum is 220 J/(s• m · °C).°C(b) If metals 1 and 2 are now interchanged, but the values of Th and T, are the same as in part (a), what will be the temperature of the junction?°C

Given The value of temperature are Th=88.0°C and Tc=19°C. The thermal conductivity of gold is kG=318 J/s·m·°C. The thermal conductivity of aluminium is kAl=220 J/s·m·°C. The heat transfer from high temperature to intermediate temperature is equal to heat transfer from intermediate temperature to lower temperature side. The equation for the intermediate temperature is, QG=QAlkGATh-TjL=kAlATj-TcLkGTh-Tj=kAlTj-Tc Substitute the known value in the equation to obtain the junction temperature. 318 J/s·m·°C88 °C-Tj=220 J/s·m·°CTj-19°C318 J/s·m·°C220 J/s·m·°C88 °C-Tj=Tj-19°C1.44588 °C-Ti+19°C=Tj127.16°C+19°C=Tj+1.445Tj146.16°C2.445=TjTj=59.779°C Thus, intermediate temperature is 59.779°C.The equation for the intermediate temperature is, QG=QAlkAlATh-TjL=kGATj-TcLkAlTh-Tj=kGTj-Tc Substitute the known value in the equation to obtain the junction temperature. 220 J/s·m·°C88 °C-Tj=318 J/s·m·°CTj-19°C220 J/s·m·°C318 J/s·m·°C88 °C-Tj=Tj-19°C0.69288 °C-Tj+19°C=Tj60.896°C+19°C=Tj+0.692Tj60.896°C1.692=TjTj=35.99°C Thus, intermediate temperature is 35.99°C.

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Mechanical Engineering

n the diagram below, metal 1 is made of gold and metal 2 is aluminum. Both bars have the same length and area of cross-section but their thermal conductivities are different. The emperature Th is maintained at a constant 88.0°C at the end A while the temperature T, at the end B is maintained at 19.0°C. T metal 1 metal 2 Tj (a) What is the temperature T; at the junction of the two bars? The thermal conductivity of gold is 318 J/(s · m. °C) and that for aluminum is 220 J/(s •m. °C). °C (b) If metals 1 and 2 are now interchanged, but the values of Th and T. are the same as in part (a), what will be the temperature of the junction? °C

n the diagram below, metal 1 is made of gold and metal 2 is aluminum. Both bars have the same length and area of cross-section but their thermal conductivities are different. The emperature Th is maintained at a constant 88.0°C at the end A while the temperature T, at the end B is maintained at 19.0°C. T metal 1 metal 2 Tj (a) What is the temperature T; at the junction of the two bars? The thermal conductivity of gold is 318 J/(s · m. °C) and that for aluminum is 220 J/(s •m. °C). °C (b) If metals 1 and 2 are now interchanged, but the values of Th and T. are the same as in part (a), what will be the temperature of the junction? °C

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

In the diagram below, metal 1 is made of gold and metal 2 is aluminum. Both bars have the same length and area of cross-section but their thermal conductivities are different. The
temperature Th is maintained at a constant 88.0°C at the end A while the temperature T, at the end B is maintained at 19.0°C.
A.
T
metal 1
metal 2
T
(a) What is the temperature T; at the junction of the two bars? The thermal conductivity of gold is 318 J/(s · m · °C) and that for aluminum is 220 J/(s• m · °C).
°C
(b) If metals 1 and 2 are now interchanged, but the values of Th and T, are the same as in part (a), what will be the temperature of the junction?
°C

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