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The SI (metric) units for thermal conductivity, k, are W/m-K. What...
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...
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...
2.) A plane wall is made of brick with a thermal conductivity of 1.5 W/(m-K). The...
2.) A plane wall is made of brick with a thermal conductivity of 1.5 W/(m-K). The wall is 20 cm thick and has a surface area of 10 m2. One side of the wall is exposed to outside air blowing against the wall resulting in a heat transfer coefficient of 20 W/(m2-K). The other side is exposed to an air-conditioned room with a convective heat transfer coefficient of 5 W/(m2-K). a. What are the thermal resistances corresponding to conduction through...
2-157 A long electrical resistance wire of radius r.-0.25 cm has a thermal conductivity kwire-15 W/m-K. Heat is gene...
2-157 A long electrical resistance wire of radius r.-0.25 cm has a thermal conductivity kwire-15 W/m-K. Heat is generated uniformly in the wire as a result of resistance heating at a constant rate of 0.5 W/cm3. The wire is covered with polyethylene insulation with a thickness of 0.25 cm and thermal conductivity of ks 0.4 W/m K. The outer surface of the insulation is subjected to free convection in air at 20°C and a convection heat transfer coefficient of 2...
Density (kg/m) Enthalpy (kJ) Thermal conductivity (W/m-K) Specific heat capacity (kJ/kg K) Mass (kg) Problem 4...
Density (kg/m) Enthalpy (kJ) Thermal conductivity (W/m-K) Specific heat capacity (kJ/kg K) Mass (kg) Problem 4 A barometer at the top of the mountain reads 85 kPa while one in the valley reads 101 kPa. Estimate the difference in elevation between the two locations in meters and feet. Assume an average air density of 1.2 kg/m'. Approximate answer: 4,000 fi.
Consider a 4 m high, 6 m wide and 0.17 m thick wall whose thermal conductivity is k = 0.8 W/m.oC....
Consider a 4 m high, 6 m wide and 0.17 m thick wall whose thermal conductivity is k = 0.8 W/m.oC. On a certain day, the temperatures of the inner and the outer medium close to the wall are measured to be 14oC and 6oC, respectively. Both inner and outer surfaces are subjected to convection heat transfer. Assume that the convection heat transfer coefficient is the same for the two surfaces h = 5 W/m2 ∙ °C. 1. Draw the...
Consider a large plane wall of thickness L= 0.5 m, thermal conductivity k = 2.5 W/m...
Consider a large plane wall of thickness L= 0.5 m, thermal conductivity k = 2.5 W/m °C, and surface area A = 50 m². The left side of the wall is maintained at constant temperature To = 100 °C, while the right side is maintained at T4 = 10 °C. Taking the nodal spacing to be 4x = 12.5 cm: 1. obtain the finite difference formulation for all internal nodes (1,2,3), 2. determine the internal nodal (1,2,3) temperatures by solving...
Problem 3. A plane wall of thickness 2L = 40 mm and thermal conductivity k =...
Problem 3. A plane wall of thickness 2L = 40 mm and thermal conductivity k = 5 W/m.K experiences uniform volumetric heat generation at a rate ġ, while convection heat transfer occurs at both of its surfaces (x = -1, + L), each of which is exposed to a fluid of temperature Too = 20 °C. Under steady-state conditions, the temperature distribution in the wall is of the form T(x) = a + bx + cx? where a = 82.0°C,...
A long cylinder of diameter D 0.012 m, thermal conductivity k 358 W/(mK), density p -...
A long cylinder of diameter D 0.012 m, thermal conductivity k 358 W/(mK), density p - 7614 kg/m3, specific heat c 418 J/(kgK) is initially at a uniform temperature of Ti-74°C. The cylinder is suddenly exposed to a gas at T,-18 ℃ The convection coefficient is h -17 W/(m2K). Verify that a lumped capacitance analysis can be used for the transient response of the cylinder temperature. What is the time t in seconds for the cylinder temperature to become Tf-32...
Reviewer Score 3. A plane wall of thickness 0.12m and thermal conductivity 40W/m K having uniform volumetric ene...
Reviewer Score 3. A plane wall of thickness 0.12m and thermal conductivity 40W/m K having uniform volumetric energy generation of 0.4MW/m3 is insulated on one side, while the other side is exposed to a fluid at 52 C. The convection heat transfer coefficient between the wall and the fluid is 400W/m2-K. Determine the (20 scores) maximum temperature in the wall. 4. r,rod OA rotates with uniform o o. At the moment, AB- 6r Signatory Score leration of block B at...
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...
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...
2.) A plane wall is made of brick with a thermal conductivity of 1.5 W/(m-K). The wall is 20 cm thick and has a surface area of 10 m2. One side of the wall is exposed to outside air blowing against the wall resulting in a heat transfer coefficient of 20 W/(m2-K). The other side is exposed to an air-conditioned room with a convective heat transfer coefficient of 5 W/(m2-K). a. What are the thermal resistances corresponding to conduction through...
2-157 A long electrical resistance wire of radius r.-0.25 cm has a thermal conductivity kwire-15 W/m-K. Heat is generated uniformly in the wire as a result of resistance heating at a constant rate of 0.5 W/cm3. The wire is covered with polyethylene insulation with a thickness of 0.25 cm and thermal conductivity of ks 0.4 W/m K. The outer surface of the insulation is subjected to free convection in air at 20°C and a convection heat transfer coefficient of 2...
Density (kg/m) Enthalpy (kJ) Thermal conductivity (W/m-K) Specific heat capacity (kJ/kg K) Mass (kg) Problem 4 A barometer at the top of the mountain reads 85 kPa while one in the valley reads 101 kPa. Estimate the difference in elevation between the two locations in meters and feet. Assume an average air density of 1.2 kg/m'. Approximate answer: 4,000 fi.
Consider a large plane wall of thickness L= 0.5 m, thermal conductivity k = 2.5 W/m °C, and surface area A = 50 m². The left side of the wall is maintained at constant temperature To = 100 °C, while the right side is maintained at T4 = 10 °C. Taking the nodal spacing to be 4x = 12.5 cm: 1. obtain the finite difference formulation for all internal nodes (1,2,3), 2. determine the internal nodal (1,2,3) temperatures by solving...
Problem 3. A plane wall of thickness 2L = 40 mm and thermal conductivity k = 5 W/m.K experiences uniform volumetric heat generation at a rate ġ, while convection heat transfer occurs at both of its surfaces (x = -1, + L), each of which is exposed to a fluid of temperature Too = 20 °C. Under steady-state conditions, the temperature distribution in the wall is of the form T(x) = a + bx + cx? where a = 82.0°C,...
A long cylinder of diameter D 0.012 m, thermal conductivity k 358 W/(mK), density p - 7614 kg/m3, specific heat c 418 J/(kgK) is initially at a uniform temperature of Ti-74°C. The cylinder is suddenly exposed to a gas at T,-18 ℃ The convection coefficient is h -17 W/(m2K). Verify that a lumped capacitance analysis can be used for the transient response of the cylinder temperature. What is the time t in seconds for the cylinder temperature to become Tf-32...
Reviewer Score 3. A plane wall of thickness 0.12m and thermal conductivity 40W/m K having uniform volumetric energy generation of 0.4MW/m3 is insulated on one side, while the other side is exposed to a fluid at 52 C. The convection heat transfer coefficient between the wall and the fluid is 400W/m2-K. Determine the (20 scores) maximum temperature in the wall. 4. r,rod OA rotates with uniform o o. At the moment, AB- 6r Signatory Score leration of block B at...
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