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u have a 0.883-m-long copper rod with a rectangular cross section of dimensions 0.0563 m by...
copper rod is 0.791 m long with a rectangular cross section of dimensions 0.0451 m by...
copper rod is 0.791 m long with a rectangular cross section of dimensions 0.0451 m by 0.0751 m. The ends of the rod are held at 55.1 'C and 99.1 'C, but the rod is otherwise insulated from its environment. Find the heat current (the amount of heat that flows per unit time) through the rod. The thermal conductivity of copper is 385 W/(m K). heat current
A copper rod is 0.825 m long with a rectangular cross section of dimensions 0.0463 m...
A copper rod is 0.825 m long with a rectangular cross section of dimensions 0.0463 m by 0.0829 m . The ends of the rod are held at 52.7 ∘C and 91.5 ∘C , but the rod is otherwise insulated from its environment. Find the heat current (the amount of heat that flows per unit time) through the rod. The thermal conductivity of copper is 385 W/(m⋅K) . Please show work
The coefficient of linear expansion for some common materials are listed in the table to the...
The coefficient of linear expansion for some common materials are listed in the table to the right. You would like to design an emergency overheating alarm using one of these materials. In your design, at room temperature (23.0°C), a 7.51 cm long cylinder of the material will sit with one end against a wall and the other just barely touching a button. Once the heat causes the cylinder to lengthen by 0.0258 cm, the button will be activated, turning on...
A long rectangular copper bar of a cross section of 2cm by 3cm and a long...
A long rectangular copper bar of a cross section of 2cm by 3cm and a long cylindrical copper rod of 2.2 cm in diameter are initially at a uniform temperature of 120 °C. They are then exposed to a cooling air stream at 22 °C with a heat transfer coefficient of 180 W/m-K. Taking the properties of the copper to be k = 400 W/m-K and p-8930 kg/m', and C -0.385 kJ/kg-K, determine: a How long would it take for...
QUESTION 4 The temperature distribution for a long fin with uniform cross section is cosh[m(L -...
QUESTION 4 The temperature distribution for a long fin with uniform cross section is cosh[m(L - x)] cosh(ml) where b means base, O = T - To, m= rand A and P are the area and perimeter of the cross- section. K is in air at A long copper rod of diameter D = 1.5 cm, L = 20 cm, and thermal conductivity 380 W/ m 20°C. The temperature at the base is 150°C. If m = 6 m-7, the...
A long, hot AISI 304 stainless steel bar of rectangular cross section has dimensions w =...
A long, hot AISI 304 stainless steel bar of rectangular cross section has dimensions w = 3 mm, W = 5 mm, and L = 100 mm. The bar is exposed to air that provides a heat transfer coefficient of h = 15 W/m2 · K at all exposed surfaces and air temperature is 300K. Determine an appropriate characteristic length Lc and the corresponding Biot number Bi that is associated with the transient thermal response of the solid object. State...
Heat Flowing through a Sectioned Rod
A long rod, insulated to prevent heat loss along its sides, is in perfect thermal contact with boiling water (at atmospheric pressure) at one end and with an ice-water mixture at the other. The rod consists of a 1.00 m section of copper (with one end in the boiling water) joined end-to-end to a length L2 of steel (with one end in the ice water). Both sections of the rod have cross-sectional areas of 4.00 cm2. The temperature of the copper-steel junction...
A long cylindrical rod of diameter 220 mm with thermal conductivity 0.5 W/m-K expe riences uniform...
A long cylindrical rod of diameter 220 mm with thermal conductivity 0.5 W/m-K expe riences uniform volumetric heat generation of 25,000 W/m3. The rod is encapsulated by a circular sleeve having 7 W/m K. The outer surface of the sleeve is exposed to cross flow of air at 25°C with a convection coefficient of 25 W/m2-K. Find the temperature at the interface between the rod and sleeve, and on the outer surface. an outer diameter of 410 mm and thermal...
Consider a rectangular bar of thermal conductivity k W/m-K and total length 2L, as shown in...
Consider a rectangular bar of thermal conductivity k W/m-K and
total length 2L, as shown in the figure, is connected to a hot
surface that is at a temperature T1. The connection between the bar
and the surface is imperfect and results in a thermal contact
resistance of R’’ m2-K/W. The width of the rod into the depth of
the paper is W meters and the thickness of the rod is t meters. The
first section of the rod of...
1. Molten copper flows through a l m long alumina pipe that has an ID of...
1. Molten copper flows through a l m long alumina pipe that has an ID of 25 cm and a wall thickness of 5 cm. The molten copper has a temperature of 1,500 °C and the alumina pipe is surrounded by 25 °C air. The thermal conductivity of alumina is 46 W/m °C. The convection heat transfer coefficients are 500 W/m2 °C between the alumina pipe and ambient air and 200 W/m² °C between molten copper and the alumina pipe....
copper rod is 0.791 m long with a rectangular cross section of dimensions 0.0451 m by 0.0751 m. The ends of the rod are held at 55.1 'C and 99.1 'C, but the rod is otherwise insulated from its environment. Find the heat current (the amount of heat that flows per unit time) through the rod. The thermal conductivity of copper is 385 W/(m K). heat current
The coefficient of linear expansion for some common materials are listed in the table to the right. You would like to design an emergency overheating alarm using one of these materials. In your design, at room temperature (23.0°C), a 7.51 cm long cylinder of the material will sit with one end against a wall and the other just barely touching a button. Once the heat causes the cylinder to lengthen by 0.0258 cm, the button will be activated, turning on...
A long rectangular copper bar of a cross section of 2cm by 3cm and a long cylindrical copper rod of 2.2 cm in diameter are initially at a uniform temperature of 120 °C. They are then exposed to a cooling air stream at 22 °C with a heat transfer coefficient of 180 W/m-K. Taking the properties of the copper to be k = 400 W/m-K and p-8930 kg/m', and C -0.385 kJ/kg-K, determine: a How long would it take for...
QUESTION 4 The temperature distribution for a long fin with uniform cross section is cosh[m(L - x)] cosh(ml) where b means base, O = T - To, m= rand A and P are the area and perimeter of the cross- section. K is in air at A long copper rod of diameter D = 1.5 cm, L = 20 cm, and thermal conductivity 380 W/ m 20°C. The temperature at the base is 150°C. If m = 6 m-7, the...
A long cylindrical rod of diameter 220 mm with thermal conductivity 0.5 W/m-K expe riences uniform volumetric heat generation of 25,000 W/m3. The rod is encapsulated by a circular sleeve having 7 W/m K. The outer surface of the sleeve is exposed to cross flow of air at 25°C with a convection coefficient of 25 W/m2-K. Find the temperature at the interface between the rod and sleeve, and on the outer surface. an outer diameter of 410 mm and thermal...
Consider a rectangular bar of thermal conductivity k W/m-K and
total length 2L, as shown in the figure, is connected to a hot
surface that is at a temperature T1. The connection between the bar
and the surface is imperfect and results in a thermal contact
resistance of R’’ m2-K/W. The width of the rod into the depth of
the paper is W meters and the thickness of the rod is t meters. The
first section of the rod of...
1. Molten copper flows through a l m long alumina pipe that has an ID of 25 cm and a wall thickness of 5 cm. The molten copper has a temperature of 1,500 °C and the alumina pipe is surrounded by 25 °C air. The thermal conductivity of alumina is 46 W/m °C. The convection heat transfer coefficients are 500 W/m2 °C between the alumina pipe and ambient air and 200 W/m² °C between molten copper and the alumina pipe....
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