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1. Heat is generated at a uniform steady rate in a long solid cylinder. The cylinder...
The steady state temperature distribution across a wall, where -0.02 m, is T(X)*+bx+ A uniform heat generation rate. 9. ration rate. 9. Occurs in the wall and is given in the table below. Coefficients a, b and care in units shown in the table and x is in meters. The origin of the x coordinate is at the middle of the wall as shown. Each side of the wall experiences convection from a fluid at -20°C 82 K (thermal conductivity...
pts.) Consider a long resistance wire of radius ri-1.5 cm and thermal conductivity m'к in which heat is generated uniformly as a result of resistance heating at a e wire is embedded in a 1.0-cm-thick layer of ceramic whose thermal bTeam. W/m K. If the outer surface temperature of the ceramic layer is nstant rate. The nductivity is keramic-1.5 to be T,-45°C and the maximum temperature at the center is 375°C. Determine the ar generated per unit volume in (W/em)...
A long cylindrical rod of diameter 100 mm with thermal conductivity of 0.5 W/mK experiences uniform volumetric heat generation of 5.0 x 10 W/m². The rod is encapsulated by a circular sleeve having an outer diameter of 400 mm and a thermal conductivity of 4 W/mK. The outer surface of the sleeve is exposed to cross flow of air at 27°C with a convection coefficient of 25 W/m2K (a) Find the temperature at the Interface between the rod and sleeve...
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...
4) An infinite bar with thermal conductivity of k and thickness L is insulated on the left surface, whereas air is flowing over the right surface. The bar generates heat at a uniform volumetric rate. State your assumptions clearly. • Derive an expression for temperature profile within the rod in steady state. (20 points) Draw temperature profile for a case, when heat is being generated within the rod. (5 points) Draw temperature profile for the case, when heat is being...
1. 1.08x106 grams/h of a superheated fluid flows through a pipe in a power plant. The pipe is 1000 cm long, has an inner diameter of 0.05m and a wall thickness of 0.6 cm. The pipe has a thermal conductivity of 0.0017 kW/mK, and the inner pipe surface is at a uniform temperature of 393K. The temperature drop between the inlet and exit of the pipe is 7K, and the constant pressure specific heat of vapor is 2190 J/kgK. If...
SKMM 3433 A solid body which is initially at a uniform temperature Tİ is exposed to an ambient air at temperature Te. Explain how you would determine the maximum amount of heat that can be transferred to the body. What does this amount of heat represent? Q2. (a) (5 marks) A wall ofa room is made of lightweight concrete material (ρ= 1600 kg/m.に0.79 W/m K and cp 0.84 kJ/kg K) with a thickness of 150 mm. Initially the wall is...
G4 Problem Statement: Circular fins of uniform cross section, with diameter of 14 mm and length 70 mm are attached to the wall with surface temperature o C. The fin is made of material with thermal conductivity of 210 W/mk, and exposed to an ambient air condition of 24 °C and the convection heat transfer coefficient of 190 W/m2k. f 300 1- Plot the temperature variation for the following boundary conditions a- Infinitely long fin b- Adiabatic fin tip c-...
A very long rod of 5-mm diameter and uniform thermal conductivity k = 25 W/m-K is subjected to a heat treatment process. The center, 30-mm-long portion of the rod within the induction heating coil experiences uniform volumetric heat generation of 7.5 x 106 W/m3. The unheated portions of the rod, which protrude from the heating coil on either side, experience convection with the ambient air at T∞ = 20 °C and h = 10 W/m2K. Assume that there is no convection...
This is for static air don't just copy from others', this is a different problem. 1. A very long horizontal cylinder of Unobtainium, of diameter 100 mm, is initially at a uniform temperature of 500 K. The cylinder is left to cool in a large room of static air at 300 K. Calculate a) the average convective heat transfer coefficient at the beginning of the cooling process when the initial temperature of the cylinder is 500 K, and 10] 15]...