For one-dimension heat transfer conduction consider a shielding wall for a nuclear reactor. The wall receives a gamma-ray flux such that heat is generated within the wall according to the relation 9x = 90 (2X+3) Where q0 is the heat generation at the inner face of the wall exposed to the gamma- ray Flux. Using this relation for heat generation, derive an expression for the temperature distribution in a wall of thickness L, where the inside and outside temperatures are maintained at Ti and 70, respectively. Also, obtain temperature in the wall at X= 0.1 m. Assume, Ti-100 °C, T0-200 °C, L= 0.2 m, K = 40 w/m. °C, and q0 = 50 W 1 90 y FLUX

For one-dimension heat transfer conduction consider a shielding wall for a nuclear reactor. The wall receives a gamma-ray flux such that heat is generated within the wall according to the relation 9x = 90 (2X+3) Where q0 is the heat generation at the inner face of the wall exposed to the gamma- ray Flux. Using this relation for heat generation, derive an expression for the temperature distribution in a wall of thickness L, where the inside and outside temperatures are maintained at Ti and 70, respectively. Also, obtain temperature in the wall at X= 0.1 m. Assume, Ti-100 °C, T0-200 °C, L= 0.2 m, K = 40 w/m. °C, and q0 = 50 W 1 90 y FLUX

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter11: Heat Transfer By Radiation

Section: Chapter Questions

Problem 11.58P

See similar textbooks

Similar questions

A cylindrical liquid oxygen (LOX) tank has a diameter of 1.22 m, a length of 6.1 m, and hemispherical ends. The boiling point of LOX is -179.4C. An insulation is sought that will reduce the boil-off rate in the steady state to no more than 11.3 kg/h. The heat of vaporization of LOX is 214 kJ/kg. If the thickness of this insulation is to be no more than 7.5 cm, what would the value of its thermal conductivity have to be?
1.76 Explain a fundamental characteristic that differentiates conduction from convection and radiation.
Consider a shielding wall for a nuclear reactor. The wall receives a gamma-ray flux such that heat is generated within the wall according to the relation - 9:56 ax ġ = ġoe %3D e 9:57 V
A stainless-steel plate at 100˚C faces a firewall at 500 ˚C. Estimate the heat flux and radiation heat transfer coefficient hr.
Q1 For one -dimension heat transfer conduction consider a shielding wall for a nuclear reactor. The wall receives a gamma-ray flux such that heat is generated within the wall according to the relation 9x = 4, ( 2X+3) Where q0 is the heat generation at the inner face of the wall exposed to the ray Flux. Using this relation for heat generation, derive an expression for the temperature distribution in a wall of thickness L, where the inside and outside temperatures are maintained at Ti and TO, respectively. Also, obtain temperature in the wall at X= 0.1 m. Assume, Ti-100 °C, TO=200 °C, L= 0.2 m, K = 40 w/ m. °C, and q0 = 50 W %D gamma- %3D I 90 y FLUX То Ti
Heat is generated in a 1.4 m long and 0.2 cm diameter electrical resistance wire placed in the middle of a room kept at 20 degrees. Under continuous conditions, the surface temperature of the wire was measured as 180 ° C, the voltage drop on the wire as 110 V and the electric current as 3 A. Regardless of radiative heat transfer,Find the heat transfer coefficient for the heat transfer between the surface of the wire shown in the figure and the room air.
You are designing a chamber to contain the radiation emitted by nuclear decay during a fusion reaction. The left face of the (plane) chamber wall (x = 0) is exposed to the radiation and the right face of the wall (x = L) is perfectly insulated. To facilitate the fusion reaction, the left face of the wall is maintained at fixed temperature To. The radiation penetrates the wall causing uniform heat generation that varies with location inside the wall as ) = 40 (1 - 1) g(x) where qo [W/m^3 ] is a constant. Determine an expression for the temperature distribution in the wall T(x) assuming the thermal conductivity of the wall (k) is constant.
29. Gamma radiation is bombarding an iron plate as shown in the figure. A con- vection boundary condition of T;= 150 C and h = 200 W/m-K removes heat from the plate. Find the maximum temperature and its location in the plate. Also find temperature at 1 cm from the side facing irradiation and the rate of heat removal from the side not being irradiated. k= 48.5 kW/m K, µ= 24.6 m'. Questions and Problems 507 40 = 19,600 kW/m³ 15 cm T, = 150 C h= 200 W/m K T = 150 C h= 200 W/m K
You are designing a chamber to contain the radiation emitted by nuclear decay during afusion reaction. The left face of the (plane) chamber wall (? = 0) is exposed to the radiationand the right face of the wall (? = ?) is perfectly insulated. To facilitate the fusion reaction,the left face of the wall is maintained at fixed temperature ?% . The radiation penetrates thewall causing uniform heat generation that varies with location inside the wall as?̇ (?) = ?̇% _1 − ? (?( bwhere ?̇% [W/m^3 ] is a constant. Determine an expression for the temperature distributionin the wall ?(?) assuming the thermal conductivity of the wall (?) is constant.Note: You must start from the HDE, find the general solution to the differential equation,then apply the appropriate BCs to solve for ?(?). You cannot start from the general solutionin Appendix C because that solution assumes constant volumetric heat generation
Heat is generated in a 1.4 m long and 0.2 cm diameter electrical resistance wire placed in the middle of a room kept at 20 ° C. Under continuous conditions, the surface temperature of the wire was measured as 180 ° C, the voltage drop on the wire as 110 V and the electric current as 3 A. Find the heat transfer coefficient for the heat transfer between the surface of the wire shown in the figure and the room air, regardless of radiative heat transfer.
what is the relationship between theromodynamics and probability ? explain with derivation
A plane layer of coal of thickness L = 1 m experiences uniform volumetric generation at a rate of q̇= 40 ?/?3 due to slow oxidation of the coal particles. Averaged over a daily period, the top surface of the layer transfers heat by convection to ambient air for which h = 10 W/m2·K and T∞= 20 °C, while receiving solar irradiation in the amount GS = 1360 W/m2. Irradiation from the atmosphere may be neglected. The solar absorptivity and emissivity of the surface are the same, each αS = ε = 0.90. a) Write the steady-state form of the 1D Cartesian heat diffusion equation (HDE) for the layer of coal. Using the HDE, determine the temperature distribution as a function of x and constants given above. b) Sketch the temperature distribution and label key features. c) Obtain an expression for the rate of heat transfer by conduction per unit area at x = L. Applying an energy balance to a control surface about the top surface of the layer, obtain an expression for Ts. Evaluate Ts and T(0) for…