Q3:A- a cylindrical fuel rod consist of a fuel region of diameter (10mm) . If the temperature at the center line of the fuel is (1800°C) and the heat generation rate is (q///=4x10% W/m'). 1- Find the temperature distribution along the radial direction of the fuel meat. Assume steady state one dimensional heat flow d?Tr + dr? 1 d ql// + = 0 Far (kr4). 2- Calculate the temperature at the surface of the fuel. Take the average thermal conductivity of the oxide fuel to be (1.9 W/m °C).V« 3- Calculate the temperature distribution along the radius of the fuel meat 4- Draw the temperature distribution along the radius of the fuel meat

Q3:A- a cylindrical fuel rod consist of a fuel region of diameter (10mm) . If the temperature at the center line of the fuel is (1800°C) and the heat generation rate is (q///=4x10% W/m'). 1- Find the temperature distribution along the radial direction of the fuel meat. Assume steady state one dimensional heat flow d?Tr + dr? 1 d ql// + = 0 Far (kr4). 2- Calculate the temperature at the surface of the fuel. Take the average thermal conductivity of the oxide fuel to be (1.9 W/m °C).V« 3- Calculate the temperature distribution along the radius of the fuel meat 4- Draw the temperature distribution along the radius of the fuel meat

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.

Chapter3: Transient Heat Conduction

Section: Chapter Questions

Problem 3.10P: 3.10 A spherical shell satellite (3-m-OD, 1.25-cm-thick stainless steel walls) re-enters the...

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3.10 A spherical shell satellite (3-m-OD, 1.25-cm-thick stainless steel walls) re-enters the atmosphere from outer space. If its original temperature is 38°C, the effective average temperature of the atmosphere is 1093°C, and the effective heat transfer coefficient is , estimate the temperature of the shell after reentry, assuming the time of reentry is 10 min and the interior of the shell is evacuated.
3.14 A thin-wall cylindrical vessel (1 m in diameter) is filled to a depth of 1.2 m with water at an initial temperature of 15°C. The water is well stirred by a mechanical agitator. Estimate the time required to heat the water to 50°C if the tank is suddenly immersed in oil at 105°C. The overall heat transfer coefficient between the oil and the water is , and the effective heat transfer surface is .
Task 3Superheated steam at 575ºC is routed from a boiler to the turbine of an electric power plant through steel tubes (k = 35 W/m K) of 300 mm inner diameter and 30 mm wall thickness. To reduce heat loss to the surroundings and to maintain a safe-to-touch outer surface temperature, a layer of calcium silicate insulation (k = 0.10 W/m K) is applied to the tubes, while degradation of the insulation is reduced by degradation of the insulation is reduced by wrapping it in a thin sheet of aluminium having an emissivity of ε= 0.20. The air and wall temperatures of the power plant are 27ºC. Assume that the inner surface temperature of a steel tube corresponds to that of the steam and the convection coefficient outside the aluminium sheet is 6 W/m2 K, (a) What is the minimum insulation thickness needed to ensure that the temperature of the aluminium does not exceed 50ºC? (b) What is the corresponding heat loss per unit meter?(c) What is the difference between lagged and unlagged pipes in…
T0 2-Water is heated as it flows through a square duct with side a=2 cm and the mean velocity through each is U = 3.2 cm/s. Duct is heated electrically by 2000 W/m2 into the water. Assuming that the water properties can be evaluated at 50◦C and that the flow is thermally fully developed: (a) Verify that the flow is laminar. (b) Calculate heat transfer coefficient (c) the mean temperature difference between the wall and the water stream. (d) Calculate the rate of temperature increase along the channel, (e) calculate pressure drop per unit length
A CPU heatsink (fan included) blows room temperature air with a total convective heat transfer coefficient of 28 2/m2K. The air travels over a heatsink comprised of 12 fins 40mm long x 18mm high. If the CPU (intel I7-9700K) has a thermal dissipation of 120W, what must the average surface temperature of the fins be?
Hot water at 160 ⁰C is passing through a pipe, and it is lagged with a plastic covering. The coefficient of thermal conduction of the plastic is 0.2 Wm-1K-1 and the heat transfer coefficient is 16 Wm-2K-1. The ambient temperature surrounding the pipe is 25 ⁰C. Determine the critical radius and hence the maximum heat loss. Calculate the heat loss for varying thicknesses of lagging and plot this against the thickness. From the graph, estimate an optimal thickness of lagging and explain your reasons. You can use Excel for the calculations and plotting.
What is the heat transfer coefficient inside the tubes of a solar collector in which the tubes are 10 mm in diameter and separated by a distance of 100 mm? The collector is 1.5 m wide and 3 m long and has total flow rate of water of 0.075kg/s. The water average temperature is 80°C. Assume you have 15 tubes. Hint:need find Nu by equation not graph?
plz answer this,ASAP,thx At high temperatures a nuclear reactor consists of a cylindrical wall composite as the fuel element thorium (k = 57 W/mK) wrapped in graphite (k = 3 W/mK) and helium gas flows through a circular cooling channel. Cylinder length 200 mm. Taking into account the helium temperature = 600°C and the convection coefficient, h= 200 W/m²K. When measured, the outside temperature is 100°C, and h = 5 W/m².K. Draw the electrical analogy, and calculate the overall heat transfer rate!
When can the conductive thermal resistance of the tube in a heat exchanger be neglected in overall heat transfer coefficient calculation? Never When the tube is thin or the material is highly conductive When the tube is thin. When the tube material is highly conductive. Which of the following sentence(s) is/are true? We cannot calculate thermal resistance of a solid slab. Thermal resistance concept is applicable only in Cartesian or Cylindrical coordinate. We cannot calculate thermal resistance of a solid cylinder. To apply thermal resistance concept, a problem only needs to be one dimensional and steady.
cylindrical fuel element for a gas-cooled nuclear reactor, the heat generation rate within the fuel element due to fission can be approximated by the relation: q(r) = q_0 [1 - (r/a)^2] W/m^3 where a is the radius of the fuel element and q_0 is constant. The boundary surface at r = a is maintained at a uniform temperature T_0. Assuming one-dimensional, steady-state heat flow, develop a relation for the temperature drop from the centerline to the surface of the fuel element. For radius a= 30mm, the thermal conductivity k = 10 W/m middot K and q_0 = 2 times 10^7 W/m^3, calculate the temperature drop from the centerline to the surface.
The liquid food is heated in a tubular heat exchanger. The inside pipe wall temperature is 110 °C. The internal diameter of the pipe is 50 mm. The product flows at 0.7 kg/s. If the initial temperature of the product is 7 °C, calculate the convective heat transfer coefficient. The thermal properties of the product are as follows: specific heat = 3.7 kJ / (kg °C), thermal conductivity = 0.6 W / (m °C), product viscosity = 500 x 10-6 Pa s, density = 1000 kg / m³ , product viscosity at 110 °C = 410 x 10-6 Pa s. a. Determine Reynolds number = Answer35668.7898. b. Determine the number Prantl = Answer3.083. c. Determine Nuselt number = Answer d. Convection coefficient = Answer W/m² °C.
Most automobiles have a coolant reservoir to catch radiator fluid that may overflow when the engine is hot. Such a radiator, made of copper, is filled to its 12-L capacity when at 10.0°C. -What volume of radiator fluid, in liters, will overflow when the radiator and fluid reach their 99.5°C operating temperature, given that the fluid’s thermal coefficient of volume expansion is 400.0 × 10-6 / °C? The coefficient of volume expansion for copper is 5.1 × 10-5 /°C.