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4. Which one of the following is the correct expression for one-dimensional constant properties, heat conduction...
Consider steady-state conditions for one-dimensional conduction
Consider steady-state conditions for one-dimensional conduction in a plane wall having a thermal conductivity k = 50 W/m·K and thickness L = 0.35 m, with no internal heat generation Determine the heat flux and the unknown quantity for each case and sketch the temperature distribution, indicating the direction of the heat flux.
Consider steady one-dimensional conduction in a slab having a thickness of L and a constant thermal...
Consider steady one-dimensional conduction in a slab having a thickness of L and a constant thermal conductivity of k. The two ends are maintained at temperatures T_0 (at x = 0), and T_L (at x = L). There is a heat source, with strength A(x/L)(1 - x/L) W/cm^3. a) Define a set of dimensionless independent variables (depending on position), and a dimensionless dependent variable. b) Obtain a differential equation in which each term is dimensionless. c) Define an appropriate dimensionless...
Consider a medium in which the heat conduction equation is given in its simplest form as...
Consider a medium in which the heat conduction equation is given in its simplest form as d2T dT 2 0 dr dr2 Which of the following is not a correct assumption based on the simplified equation? Steady-State Heat Transfer No heat generation in the medium Constant thermal conductivity 2-Dimensional Heat conduction QUESTION 6 Which of the following is not an example of heat generation? Endothermic Chemical Reactions in a solid Nuclear reaction in nuclear fuel rods Electric resistance heater Exothermic...
Two large parallel plates with surface conditions approximating those of a blackbody are maintained at 800°C...
Two large parallel plates with surface conditions approximating those of a blackbody are maintained at 800°C and 100°C, respectively. Determine the rate of heal transfer by radiation between the plates in Wim and the radiative heat transfer coefficient in W/m K ) 12 Write down the one-dimensional sent heal conduction equation for a plane wall with constant thermal conductivity and heat generation in its simplest form, and indicate what each variable represents 13 Write down the one-dimensional transient heat conduction...
finite element method The equation for the heat diffusion of a one-dimensional system widh heat generation in a Car...
finite element method
The equation for the heat diffusion of a one-dimensional system widh heat generation in a Cartesian coordinate system is 4. d'T dx2 The rate of thermal energy generation q represents the convessice of enery os electrical, chemical, nuclear, or electromagnetic forms to thermal energy witin the volume of a given system. Derive the contribution of á to the load matrix. Consider a strip of heating elements embedded within the rear glass of a car peoducing a uniform...
Solve the 1D heat conduction equation with a source term. The 1D heat conduction equation with a ...
Solve the 1D heat conduction equation with a source term.
The 1D heat conduction equation with a source term can be written
as:
dr dr Using the Finite Volume Method, we use this equation to solve for the temperature T across the thickness of a flat plate of thickness L-2 cm. The thermal conductivity is k-0.5 W/Km, and the temperatures at the two ends are held constant at 100°C and 200°C, respectively. An electric current creates aAL constant heat source...
(a) Calculate the rate of heat conduction (in W) through house walls that are 11.5 cm...
(a) Calculate the rate of heat conduction (in W) through house walls that are 11.5 cm thick and that have an average thermal conductivity twice that of glass wool. Assume there are no windows or doors. The surface area of the walls is 145 m2 and their inside surface is at 22.5°C, while their outside surface is at 5.00°C. (b) How many 1 kW room heaters would be needed to balance the heat transfer due to conduction? (Round your answer...
20) Me Steady-state temperature distribution in the s figure. The heat flow is one-dimensional. ibution in...
20) Me Steady-state temperature distribution in the s figure. The heat flow is one-dimensional. ibution in the sandwich of three materials (A, B, and C) is shown in the aterial B has volumetric heat generation à = 64,000 W/m. Material A has thermal conductivity of 10 W/ m K . Determine: a) The heat flux at the left side: b) The heat flux at the right side: c) The thermal conductivity of Material C: : - W/m2 W/m2 _W/mK T[deg.]...
PLEASE ANSWER a,b,c Heat Conduction Heat conduction occurs through any material, represented here by a rectangular...
PLEASE ANSWER a,b,c
Heat Conduction Heat conduction occurs through any material, represented here by a rectangular bar, whether window glass or walrus blubber. The temperature of the material is T2 on the left and T1 on the right, where T2 is greater than T1. The rate of heat transfer by conduction is directly proportional to the surface area A, the temperature difference T2 - T1, and the substance's conductivity k. The rate of heat transfer is inversely proportional to the...
A 5-cm-diameter shaft rotates at 4500 rpm in a 15-cm long, 8-cm-outer-diameter cast iron bearing (k...
A 5-cm-diameter shaft rotates at 4500 rpm in a 15-cm long, 8-cm-outer-diameter cast iron bearing (k =70 W/m.K) with a uniform clearance of 0.6 mm filled wwith tubricating oil (u 0.03 N.s/m2 and k 0.14 W/m.K). The bearing is cooled externally by a liquid, and its outer surface is maintained at 40°C. Disregarding heat conduction through the shaft and assuming one- dimensional heat transfer, determine (a) the rate of heat transfer to the coolant, (b) the sutacs temperature of the...
Consider steady one-dimensional conduction in a slab having a thickness of L and a constant thermal conductivity of k. The two ends are maintained at temperatures T_0 (at x = 0), and T_L (at x = L). There is a heat source, with strength A(x/L)(1 - x/L) W/cm^3. a) Define a set of dimensionless independent variables (depending on position), and a dimensionless dependent variable. b) Obtain a differential equation in which each term is dimensionless. c) Define an appropriate dimensionless...
Consider a medium in which the heat conduction equation is given in its simplest form as d2T dT 2 0 dr dr2 Which of the following is not a correct assumption based on the simplified equation? Steady-State Heat Transfer No heat generation in the medium Constant thermal conductivity 2-Dimensional Heat conduction QUESTION 6 Which of the following is not an example of heat generation? Endothermic Chemical Reactions in a solid Nuclear reaction in nuclear fuel rods Electric resistance heater Exothermic...
Two large parallel plates with surface conditions approximating those of a blackbody are maintained at 800°C and 100°C, respectively. Determine the rate of heal transfer by radiation between the plates in Wim and the radiative heat transfer coefficient in W/m K ) 12 Write down the one-dimensional sent heal conduction equation for a plane wall with constant thermal conductivity and heat generation in its simplest form, and indicate what each variable represents 13 Write down the one-dimensional transient heat conduction...
finite element method
The equation for the heat diffusion of a one-dimensional system widh heat generation in a Cartesian coordinate system is 4. d'T dx2 The rate of thermal energy generation q represents the convessice of enery os electrical, chemical, nuclear, or electromagnetic forms to thermal energy witin the volume of a given system. Derive the contribution of á to the load matrix. Consider a strip of heating elements embedded within the rear glass of a car peoducing a uniform...
Solve the 1D heat conduction equation with a source term.
The 1D heat conduction equation with a source term can be written
as:
dr dr Using the Finite Volume Method, we use this equation to solve for the temperature T across the thickness of a flat plate of thickness L-2 cm. The thermal conductivity is k-0.5 W/Km, and the temperatures at the two ends are held constant at 100°C and 200°C, respectively. An electric current creates aAL constant heat source...
20) Me Steady-state temperature distribution in the s figure. The heat flow is one-dimensional. ibution in the sandwich of three materials (A, B, and C) is shown in the aterial B has volumetric heat generation à = 64,000 W/m. Material A has thermal conductivity of 10 W/ m K . Determine: a) The heat flux at the left side: b) The heat flux at the right side: c) The thermal conductivity of Material C: : - W/m2 W/m2 _W/mK T[deg.]...
PLEASE ANSWER a,b,c
Heat Conduction Heat conduction occurs through any material, represented here by a rectangular bar, whether window glass or walrus blubber. The temperature of the material is T2 on the left and T1 on the right, where T2 is greater than T1. The rate of heat transfer by conduction is directly proportional to the surface area A, the temperature difference T2 - T1, and the substance's conductivity k. The rate of heat transfer is inversely proportional to the...
A 5-cm-diameter shaft rotates at 4500 rpm in a 15-cm long, 8-cm-outer-diameter cast iron bearing (k =70 W/m.K) with a uniform clearance of 0.6 mm filled wwith tubricating oil (u 0.03 N.s/m2 and k 0.14 W/m.K). The bearing is cooled externally by a liquid, and its outer surface is maintained at 40°C. Disregarding heat conduction through the shaft and assuming one- dimensional heat transfer, determine (a) the rate of heat transfer to the coolant, (b) the sutacs temperature of the...
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