please help me solve this problem show step by step 5. Steady-state temperatures (K) at three nodal points of a long rectangular rod are as shown. Therod experiences a uniform volumetric generation rate of 5×107 W/m³ and has a thermalconductivity of 20W/m• K. Two of its sides are maintained at a constant temperature of 300K,while the others are insulated.(a) Determine the temperatures at nodes 1, 2, and 3.(b) Calculate the heat transfer rate per unit length (W/m) from the rod using the nodal temperatures.Compare this result with the heat rate calculated from knowledge of the volumetric generation rateand the rod dimensions.Answer: (a) T1=362.4K, T2=390.2K, T3=369.0K (b) 7500W/m5 mm398.0348.5374.6Uniform temperature, 300 K5 mm

(a) Write the finite element equation for node A, B, 1, 2, and…

Answered: 5. Steady-state temperatures (K) at…

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.

Chapter1: Basic Modes Of Heat Transfer

Section: Chapter Questions

Problem 1.66P

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2.51 Determine by means of a flux plot the temperatures and heat flow per unit depth in the ribbed insulation shown in the accompanying sketch.
1.4 To measure thermal conductivity, two similar 1-cm-thick specimens are placed in the apparatus shown in the accompanying sketch. Electric current is supplied to the guard heater, and a wattmeter shows that the power dissipation is 10 W. Thermocouples attached to the warmer and to the cooler surfaces show temperatures of 322 and 300 K, respectively. Calculate the thermal conductivity of the material at the mean temperature in W/m K. Problem 1.4
1.10 A heat flux meter at the outer (cold) wall of a concrete building indicates that the heat loss through a wall of 10-cm thickness is . If a thermocouple at the inner surface of the wall indicates a temperature of 22°C while another at the outer surface shows 6°C, calculate the thermal conductivity of the concrete and compare your result with the value in Appendix 2, Table 11.
2.29 In a cylindrical fuel rod of a nuclear reactor, heat is generated internally according to the equation where = local rate of heat generation per unit volume at r = outside radius = rate of heat generation per unit volume at the centerline Calculate the temperature drop from the centerline to the surface for a 2.5-cm-diameter rod having a thermal conductivity of if the rate of heat removal from its surface is 1.6 .
Heat is generated uniformly in the fuel rod of a nuclear reactor. The rod has a long, hollow cylindrical shape with its inner and outer surfaces at temperatures of TiandTo, respectively. Derive an expression for the temperature distribution.
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2-The steady-state temperature distribution in a one-dimensional wall of thermal conductivity 70W/m.K and thickness 50 mm is observed to be T(oC)= a+bx2, where a=300 °C, B=-2000°c/ m2, and x in meters. (a) What is the heat generation rate in the wall? (b) Determine the heat fluxes at the two wall faces. In what manner are these heat fluxes related to the heat generation rate? N 2212
The steady-state temperature distribution in a one-dimensional wall of thermal conductivity 50 W/m -K and thickness 50 mm is observed to be T(°C) = a + bx, where a = 200 °C, b=-2000 °C/m², and x is in meters. i. ii. What is the heat generation rate in the wall? (8) Determine the heat fluxes at the two wall faces. In what manner are these heat fluxes related to the heat generation rate? (
The steady-state temperature distribution in a one[1]dimensional wall of thermal conductivity 50 W /m · K and thickness 40 mm is observed to be T(°C) = a + bx², where a = 200°C, b = -2000°C/m2, and x is in meters. (a) What is the heat generation rate in the wall? (b) Determine the heat fluxes at the two wall faces. In what manner are these heat fluxes related to the heat generation rate?
4. A copper spherical ball (15 cm in diameter) with a density of 8933 kg/m³, specific heat capacity of 385 J/kg-K and thermal conductivity of 401 W/m-K is removed from an oven at a uniform temperature of 140 °C. The ball is then left to cool down in steady air at 20 °C. Calculate the heat transfer coefficient for this process and the time for the surface of the ball to drop to 40 °C. Use the following equation to solve this problem (characteristic dimension of the sphere is the diameter). 0.589 · Ra* Nu = 2+- 0.469 16 1+ Pr Note: you should check for the Lumped system analysis criteria for the final solution!
The steady-state temperature distribution in a one-dimensional slab of thermal conductivity 50 * w/(mK) and thickness 50 mm is found to be T = a + b * x ^ 2 , where a = 2000C , b=-20000 c/ m^ 2 , T is n^ C and x in meters. (a) What is the heat generation rate in the slab? (b) Determine the heat fluxes at the two wall faces
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