Steady-state temperatures (K) at three nodal points of a long rectangular rod are as shown. The rod experiences a uniform volumetric generation rate of 5x107 W/m3 and has a thermal conductivity of 20 W/m.K. Two of its sides are maintained at a constant temperature of 300 K, while the others are insulated. Determine the temperatures at nodes 1, 2, and 3. -5 mm- 2 398.0 ANS.: 5 mm T2= 390.2 K T3= 369.4 K 348.5 374.6 T,= 362.4 K Uniform temperature, 300 K 3,

Steady-state temperatures (K) at three nodal points of a long rectangular rod are as shown. The rod experiences a uniform volumetric generation rate of 5x107 W/m3 and has a thermal conductivity of 20 W/m.K. Two of its sides are maintained at a constant temperature of 300 K, while the others are insulated. Determine the temperatures at nodes 1, 2, and 3. -5 mm- 2 398.0 ANS.: 5 mm T2= 390.2 K T3= 369.4 K 348.5 374.6 T,= 362.4 K Uniform temperature, 300 K 3,

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: 1. An aluminum rod 15 cm long with a diameter of 1.0 cm is fixed between rigid supports with an…

Q: In a portion of the square, 2-D finite difference mesh shown, node 2 is located on an insulated…

Q: Thermal treatment of a steel cube, of 10 cm side length, L, requires a two step cooling process. In…

A: Given that, Length of cube, L=10 cm,Temperature of cube, Ti=500 °C,Cooling temperature of cube,…

Q: The thermal conductivity of a sheet of rigid, extruded insulation is reported to be k = 0.029 W/m-K.…

Q: A very long, rectangular cross-section block is made from metal with the following properties:…

A: Given Data: Thermal Conductivity k = 130 W/mK Density ρ=2771 kg/m3 Specific heat cp=703 J/kgK…

Q: A heat-conducting rod, that is wrapped in insulation, is constructed with a 0.15-m length of alloy A…

Q: A semiconductor material with k = 2 W/m.K and electric resistivity, r =2x10-5 W.m, is used to…

A: Given: Thermal conductivity of material k=2 WmK Electric resistivity r=2×10-5Wm Length of rod L=40…

Q: Given: Plate thickness: 30 mm k = 45 W/m°C Uniform volumetric heat generation: qg = 25 MW/m³…

A: Plate thickness t=30 mm Thermal conductivity k=45 Wm°C Uniform volumetric heat generation q=25 MWm3…

Q: A small stainless-steel rod 7 mm in diameter was heated so it is at 300 °C. It is quenched in a bath…

A: given data d= 7mm Ts = 300°c h= 30 w/m2 k to find time t

Q: The ears of a rabbit can be thought of as two rectangular fins that dissipate heat. The dimensions…

Q: A long cylinder of radius, ro = 2.8cm, thermal conductivity k = 225 S mk thermal diffusivity 1.10 kJ…

A: Step 1: Step 2: please give helpful rating Thank you Step 3: Step 4:

Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

Steady-state temperatures (K) at three nodal points of a long rectangular
rod are as shown. The rod experiences a uniform volumetric generation
rate of 5x107 W/m3 and has a thermal conductivity of 20 W/m.K. Two of its
sides are maintained at a constant temperature of 300 K, while the others
are insulated. Determine the temperatures at nodes 1, 2, and 3.
-5 mm-
2
398.0
ANS.:
5 mm
T2= 390.2 K
T3= 369.4 K
348.5
374.6
T,= 362.4 K
Uniform temperature, 300 K

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Solution:

VIEW

Solution:

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

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? (
Diagram of the problem, necessary formulas, clearance and numerical solution Two heat reservoirs with respective temperatures of 325 K and 275 K are brought into contact by an iron rod 200 cm long and 24 cm2 in cross section. Calculate the heat flux between the reservoirs when the system reaches its steady state. The thermal conductivity of iron at 25 ◦C is 79.5 W/m K.
Diagram of the problem, necessary formulas, clearance and numerical solution Two heat reservoirs with respective temperatures of 325 K and 275 K are brought into contact by an iron rod 200 cm long and 24 cm2 in cross section. Calculate the heat flux between the reservoirs when the system reaches its steady state. The thermal conductivity of iron at 25 ◦C is 79.5 W/m K.
A semiconductor material has a conductivity of 0.0124 W/cm-K. It has the shape of a rectangular bar with cross sectional area of 1 cm2and length of 3 cm. One end is maintained at 300 °C and the other end at 100 °C. The bar carries a current of 50 A and has resistivity of 1.5x10-3ohm-cm. Assuming the longitudinal surface is insulated, calculated the midpoint temperature in the bar.
Diagram of the problem, necessary formulas, clearance and numerical solution Two heat reservoirs with respective temperatures of 325 K and 275 K are brought into contact by an iron rod 200 cm long and 24 cm2 in cross section. Calculate the heat flux between the reservoirs when the system reaches its steady state. The thermal conductivity of iron at 25 ◦C is 79.5 W/m K.
PLEASE ANSWER WITH UNIT!!!!! A copper sphere having a diameter of 2 cm is initially at a uniform temperature of 312 F. It is then suddenly exposed to an air-forced- convection environment at 20 C of which the convective heat transfer coefficient is 200 W/m2K. Embedded in the sphere is a thermocouple to measure the temperature as a function of time. How long will it take for the thermocouple to indicate 30 C. What is the time constant for this system? (Density of copper is 8890 kg/m3) , (Specific heat for copper is 398 J/kg.K).
7. A composite wall consists of three materials, as shown in Figure 2. The inside wall temperature is 200°C and the outside air temperature is 50°C with a convection coefficient of 10 W/m²-K. Determine the temperature along the composite wall. Where A is the area of cross- section (can be taken to be equal to 1) and k is the conductivity. Problem is governed by the equation d²T -kA- = 0, 0
Two approaches used in development of the thermal resistance network in the x-direction for multi-dimensional problems are to assume any plane wall normal to the x-axis to be isothermal and to assume any plane parallel to the x-axis to be adiabatic. True or False True False