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(35pt) A new process for treatment of a special material is to be evaluated. A sphere...
(1) A sphere of decaying radioactive material of radius ro produces heat at a rate of q"" (W/m3)....
(1) A sphere of decaying radioactive material of radius ro produces heat at a rate of q"" (W/m3). The sphere is contained in a spherical shell of graphite of outside radius r1. The outside surface of the graphite is cooled uniformly by flowing air of temperature To. The heat transfer coefficient at the outside surface is h. The constant thermal conductivities of the radioactive material and the graphite are ko and ki, respectively. Densities and heat capacities are ρο, co...
Consider a spherical fuel particle with radius R. Within sphere heat is produced which varies with...
Consider a spherical fuel particle with radius R. Within sphere heat is produced which varies with temperature according to the relation: S=S, [1-a(T-T.)] So is the heat produced per unit volume per unit time and "a" is a constant. Surface temperature of the sphere is kept constant at To a. By constructing a shell balance obtain an O.D.E. describing steady state temperature profile. b. By using dimensionless temperature @= T-TO S.R?/k and dimensionless position x= t/R bring the O.D.E to...
The heat transfer coefficient for hydrogen flowing over a sphere is to be determined by observing...
The heat transfer coefficient for hydrogen flowing over a sphere is to be determined by observing the temperature–time history of a sphere fabricated from pure copper. The sphere, which is 20.0 mm in diameter, is at 70°C before it is inserted into the gas stream having a temperature of 27°C. A thermocouple on the outer surface of the sphere indicates 50°C 97 s after the sphere is inserted into the hydrogen. Find a) What is the value of the specific...
The figure below shows a hollow sphere made of a material with a temperature-dependent conductivity. The...
The figure below shows a hollow sphere made of a material with a temperature-dependent conductivity. The conductivity of the material is given by: k=bT where b = 0.01 W/m-K and T is the temperature in K. TH Tc Tout The sphere is used to contain liquid neon; therefore, the inner surface of the sphere at rin = 2 cm is held at Tc = 30 K. The outer surface of the sphere is exposed to ambient temperature; therefore, the temperature...
3/5 25 pts.J A slab of thickness L, made of material with constant thermal conductivity k,...
3/5 25 pts.J A slab of thickness L, made of material with constant thermal conductivity k, is undergoing a 1-D, steady heat transfer. Its boundary surface at x 0 is insulated while the boundary surface at x= 1 is kept at constant temperature T= oc. Heat energy is generated within the slab at a rate of 2. qx)o cos(rx/2L) is the energy generation rate per unit volume (Wm) at x= 0. where qo a. Develop an expression for the steady-state...
The heat transfer coefficient for hydrogen flowing over a sphere is to be determined by observing...
The heat transfer coefficient for hydrogen flowing over a sphere is to be determined by observing the temperature–time history of a sphere fabricated from pure copper. The sphere, which is 20.0 mm in diameter, is at 90°C before it is inserted into the gas stream having a temperature of 27°C. A thermocouple on the outer surface of the sphere indicates 40°C 97 s after the sphere is inserted into the hydrogen. Step 1 What is the value of the specific...
Consider a hollow metallic sphere of inner radius R. and outer radius R. In the metallic...
Consider a hollow metallic sphere of inner radius R. and outer radius R. In the metallic part of the sphere heat is produced at a constant volumetric flow rate of So. The temperature of the hollow surface is kept constant at T, and it can be assumed that there is almost no heat transfer through this surface. Obtain an expression for the temperature distribution in the metal and rate of heat loss to the surroundings.
We are trying to solve for the temperature distribution of a sphere in boiling water. The...
We are trying to solve for the temperature distribution of a sphere in boiling water. The sphere is of radius a, and it's at temperature Tc. The boiling water is at Th =Tw, and: We understand the initial condition is: at t=0, r: T(r,0) = Tc And the boundary condition is: at r=a, t: -k(dT/dr) = h[T(a,t) - Tc]. We also know that the following steps are required after this: 1. General heat equation. 2. Non-dimensionalise our heat eqn, BC,...
i need help on number3 lelmperaturein the luid as a function of r, the distance from...
i need help on number3
lelmperaturein the luid as a function of r, the distance from the descne t re? What are the boundary conditions? The thermal conductivity k of the fluid is considered center of the sphe constant. The temperature of the sphere constant at Ta boundary is constant at Tr. and the temperature far from the fluid is (b) Determine the temperature profile in the fluid. (c) From the temperature profile, obtain an expression for the heat flux...
An endurance testing process for some special-purpose long metallic hollow shells requires the outer surface temperature...
An endurance testing process for some special-purpose long metallic hollow shells requires the outer surface temperature to be kept at 100?C and inner surface temperature be kept at 50?C over an extended period of time. During the testing, the inner surface temperature is maintained by supplying cooling fluid through the shells and the outer surface temperature is maintained by crossflow of hot air at 150?C flowing at 2 m/s. There are two types of shells – one is a cylindrical...
(1) A sphere of decaying radioactive material of radius ro produces heat at a rate of q"" (W/m3). The sphere is contained in a spherical shell of graphite of outside radius r1. The outside surface of the graphite is cooled uniformly by flowing air of temperature To. The heat transfer coefficient at the outside surface is h. The constant thermal conductivities of the radioactive material and the graphite are ko and ki, respectively. Densities and heat capacities are ρο, co...
Consider a spherical fuel particle with radius R. Within sphere heat is produced which varies with temperature according to the relation: S=S, [1-a(T-T.)] So is the heat produced per unit volume per unit time and "a" is a constant. Surface temperature of the sphere is kept constant at To a. By constructing a shell balance obtain an O.D.E. describing steady state temperature profile. b. By using dimensionless temperature @= T-TO S.R?/k and dimensionless position x= t/R bring the O.D.E to...
The figure below shows a hollow sphere made of a material with a temperature-dependent conductivity. The conductivity of the material is given by: k=bT where b = 0.01 W/m-K and T is the temperature in K. TH Tc Tout The sphere is used to contain liquid neon; therefore, the inner surface of the sphere at rin = 2 cm is held at Tc = 30 K. The outer surface of the sphere is exposed to ambient temperature; therefore, the temperature...
3/5 25 pts.J A slab of thickness L, made of material with constant thermal conductivity k, is undergoing a 1-D, steady heat transfer. Its boundary surface at x 0 is insulated while the boundary surface at x= 1 is kept at constant temperature T= oc. Heat energy is generated within the slab at a rate of 2. qx)o cos(rx/2L) is the energy generation rate per unit volume (Wm) at x= 0. where qo a. Develop an expression for the steady-state...
Consider a hollow metallic sphere of inner radius R. and outer radius R. In the metallic part of the sphere heat is produced at a constant volumetric flow rate of So. The temperature of the hollow surface is kept constant at T, and it can be assumed that there is almost no heat transfer through this surface. Obtain an expression for the temperature distribution in the metal and rate of heat loss to the surroundings.
i need help on number3
lelmperaturein the luid as a function of r, the distance from the descne t re? What are the boundary conditions? The thermal conductivity k of the fluid is considered center of the sphe constant. The temperature of the sphere constant at Ta boundary is constant at Tr. and the temperature far from the fluid is (b) Determine the temperature profile in the fluid. (c) From the temperature profile, obtain an expression for the heat flux...
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