Answered: What does the assumption of one…

What does the assumption of one dimestional heat conduction mean? In the conduction what actual phenomena (heat transfer mechanisms) are being ignored to assume it, and where do they occur?

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.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.8P

See similar textbooks

Related questions

Q: Consider a medium in which the heat conduction equation is given in its simplest form as: 1 a ƏT 1…

A: To study the given equation and answer the following questions.

Q: Heat is conducted through a material with a temperature gradient of – 9000 °C/m. The conductivity of…

A: Given in problemtemperture gradient with length dTdx=9000 °C/m.Thermal conductivity (k) =…

Q: Q2. The inner and outer surfaces of a 6-m x 6-m brick wall of thickness 30 cm and thermal…

Q: Consider a solid sphere of radius r=50 cm. The heat is generated steadily inside the sphere at a…

Q: The wall of a cold room consists of a layer of cork sandwiched between outer and inner walls of…

A: Given Data The heat transfer coefficient is :Q=42 W/m2 Inside temperature is : Ti=-20°C Atmospheric…

Q: Consider a medium in which the heat conduction equation is given in i simplest form as (5) (6) (7)…

A: given:

Q: 3. A 2-mm-diameter and 10-m-long electric wire is tightly wrapped with a 1-mm-thick plastic cover…

A: Data given -

Q: A 0.3-cm-thick, 12-cm-high, and 18-cm-long circuit board houses 80 closely spaced logic chips on one…

A: Heat supplied is the heat supplied for the power generation or for the useful work of a machine.…

Q: A 6 in thick concrete wall, having thermal conductivity k=0.50 Btu/h ft F, is exposed to air at 70°F…

A: Given:t=6 ink=0.50Btu/h.ft°FT1=70°FT2=20°Fh1=2.0Btu/h.ft2.°Fh2=10Btu/h.ft2.°F

Q: The heat flow rate through a 3 cm thick for a temperature wood board difference of 30°C between the…

Q: The inner and outer surfaces of a 5-m x 6-m brick wall of thickness 30 cm and thermal conductivity…

Q: Calculate the heat transfer in kj per hour through a solid brick wall 8 cm, 3 m high and 220 mm…

Q: If the rate of heat flow through a furnace wall is 0.94 kW/m². The wall consisting of 0.20 m thick…

Q: insulator has a thermal conductivity of 20 W/m ºC s used to separate two heat sinks whose…

Q: Heat is transferred steadily through a 0.15-m thick 3 m by 5 m wall whose thermal conductivity is…

A: Given data Thickness =0.15m Wall dimension. 3m × 5m Thermal conductivity = 1.2 W/m°C Inner…

Q: The inner and outer surfaces of a 5-m x 6-m brick wall of thickness 30 cm and thermal conductivity…

Q: Consider a solid sphere of radius r=50 cm. The heat is generated steadily inside the sphere at a…

A: Given Data⇒ Radius of the solid sphere (r)=50 cm Heat generation rate is q=15000Wm3 Conductivity of…

Q: A 12 cm outside diameter and 10-cm inside diameter cast iron pipe with conductivity of 80 w/m-K has…

Q: If the rate of heat flow through a furnace wall is 0.94 kW/m². The wall consisting of 0.20 m thick…

A: Heat flux will be same across the layers. 1. The temperature of the gases inside the furnace is…

Q: To defrost ice accumulated on the outer surface of an automobile windshield, warm air is blown over…

Q: Calculate the convection heat transfer coefficient value on the outer surface of the insulation to…

A: The environment air temperature is, T0=30°C The thickness of the insulating material is, L=4 cm The…

Q: Consider a medium in which the heat conduction equation is given in it simplest form as т т 1 ст a…

A: givenheat conduction equation as shown below

Q: Two long cylinders 9.0 cm and 3.7 cm in diameter are completely surrounded by a medium with k -0.9…

Q: A 6 in thick concrete wall, having thermal conductivity k =0.50 Btu/h-ft-º F, is exposed to air at…

A: Given:thickness of wall, t=6 in =0.5ftThermal conductivity, k=0.50 Btu/h.ft.°FT1=70°FT2=20°Fhi=2.0…

Q: For an extended surface ie. fin, the direction of convective heat transfer from the fin's main…

A: For an extended surface ie. fin, the direction of convective heat transfer from the fin's main…

Q: A wall with a thermal conductivity of 0.4 W/m-°C is maintained at 45°C. The heat transfer through…

A: Givenk=0.4W/moCT1=45oCQ=220WA=2.0m2t=1.5cm

Q: A 0.2-cm-thick, 10-cm-high, and 15-cm-long circuit board houses electronic components on one side…

A: Write the expression of the thermal resistance of the board. Write the expression of the backside…

Q: The 3-layer wall consists of glass-air-glass and the thickness is 2 cm, 5 cm, and 2 cm,…

Q: Overall heat transfer coefficient for the combined mode of heat transfer "Convection Conduction…

A: Draw the diagram of the composite pipe of 2 layers.

Q: Explain if the heat transfer in the situation can be simplified to steady heat transfer or…

A: 1-D heat transfer is valid. Steady state assumption is not valid.

Q: The inner and outer surfaces of a 5-m x 6-m brick wallof thickness 30 cm and thermal conductivity…

A: Given data: outer wall temperature (T2) = 5°C inner wall temperature (T1) = 20°C Thickness = 30 cm…

Q: Consider the 3-D, unsteady heat conduction equation (a²T _a²T__a²7 %3D + ax2 ' ay² ' az= ƏT at

Q: Consider a medium in which the heat conduction equation is given in its simplest form as r? ar Or k…

A: 1. Steady 2. 1-D 3. Yes 4. constant

Q: Consider a medium in which the heat conduction equation is given in its simplest form as (a) Is…

Q: Calculate the heat transfer in kj per hour through a solid brick wall 7 cm, 3 m high and 218 mm…

A: GIVEN DATA - AREA OF BRICK A=0.07*3=0.21m2 THICKNESS OF WALL dx=218mm =0.218m K=0.6 W/mK T1=17'C…

Q: 1. Steam at 235 °C is flowing inside a steel pipe (k = 61 W/m-°C) whose inner and outer diameters…

Q: Ice water of 0°C is stored in a spherical container made of steel with an inner diameter of 3 m and…

Q: Consider a medium in which the heat conduction equation is given in its simplest form as 1 d rk dT…

A: From the given heat conduction equation,

Q: What is the heat loss through the windows of a passenger train left outside a station in winter,…

Q: 3-124 A DC motor delivers mechanical power to a rotating stainless steel shaft (k = 15.1 W/m-K) with…

Q: . The wall of a cold room consists of a layer of cork sandwiched between the outer and inner walls…

Q: The inner and outer surfaces of a 5-m × 6-m brick wall of thickness 30 cm and thermal conductivity…

A: Given data A=30 m2∆x=0.3 mk=0.69 W/m°cT1=20 °cT2=5 °c

Q: Two identical aluminum plates with thickness of 30 cm are pressed against each other at an average…

A: Given data as per question Thermal conductivity of aluminum = 237 W/m∙K. Heat flux = 7800 w/m2…

Q: onsider the rate of conductive heat transfer from the inside of an animal’s body (at 37 ˚C) to the…

A: Animal body is at the temperature of 37 degree celcius and the outside temperature is 27 degree…

Q: With the aid of a suitable diagram, differentiate the processes of heat transferred by a conduction…

Q: ow does heat conduction differ from convection?

A: given: .How does heat conduction differ from convection?

Q: Calculate the heat transfer in kj per hour through a solid brick wall 9 cm, 3 m high and 219 mm…

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

Heat conduction

What does the assumption of one dimestional heat conduction mean? In the conduction what actual phenomena (heat transfer mechanisms) are being ignored to assume it, and where do they occur?

Branch of science that deals with the stationary and moving bodies under the influence of forces.

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

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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

3.16 A large, 2.54-cm.-thick copper plate is placed between two air streams. The heat transfer coefficient on one side is and on the other side is . If the temperature of both streams is suddenly changed from 38°C to 93°C, determine how long it takes for the copper plate to reach a temperature of 82°C.
2.9 In a large chemical factory, hot gases at 2273 K are cooled by a liquid at 373 K with gas-side and liquid-side convection heat transfer coefficients of 50 and , respectively. The wall that separates the gas and liquid streams is composed of a 2-cm thick oxide layer on the gas side and a 4-cm thick slab of stainless steel on the liquid side. There is a contact resistance between the oxide layer and the steel of . Determine the rate of heat loss from hot gases through the composite wall to the liquid.
Heat is transferred at a rate of 0.1 kW through glass wool insulation (density=100kg/m3) with a 5-cm thickness and 2-m2 area. If the hot surface is at 70C, determine the temperature of the cooler surface.
Show that the rate of heat conduction per unit length through a long, hollow cylinder of inner radius ri and outer radius ro, made of a material whose thermal conductivity varies linearly with temperature, is given by qkL=TiTo(rori)/kmA where Ti = temperature at the inner surface To = temperature at the outer surface A=2(rori)/ln(ro/ri)km=ko[1+k(Ti+To)/2]L=lenthofcyclinder
2.38 The addition of aluminum fins has been suggested to increase the rate of heat dissipation from one side of an electronic device 1 m wide and 1 m tall. The fins are to be rectangular in cross section, 2.5 cm long and 0.25 cm thick, as shown in the figure. There are to be 100 fins per meter. The convection heat transfer coefficient, both for the wall and the fins, is estimated to be K. With this information determine the percent increase in the rate of heat transfer of the finned wall compared to the bare wall.
3.17 A 1.4-kg aluminum household iron has a 500-W heating element. The surface area is . The ambient temperature is 21°C, and the surface heat transfer coefficient is . How long after the iron is plugged in does its temperature reach 104°C?
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 .
1.51 The inner wall of a rocket motor combustion chamber receives by radiation from a gas at . The convection heat transfer coefficient between the gas and the wall is . If the inner wall of the combustion chamber is at Problem 1.51 a temperature of , determine (a) the total thermal resistance of a unit area of the wall in and (b) the heat flux. Also draw the thermal circuit.
1.19 A cryogenic fluid is stored in a 0.3-m-diameter spherical container is still air. If the convection heat transfer coefficient between the outer surface of the container and the air is 6.8 , the temperature of the air is 27°C, and the temperature of the surface of the sphere is –183°C, determine the rate of heat transfer by convection.
2.45 Heat is transferred from water to air through a brass wall . The addition of rectangular brass fins, 0.08 cm thick and 2.5 cm long, spaced 1.25 cm apart, is contemplated. Assuming a water-side heat transfer coefficient of and an airside heat transfer coefficient of , compare the gain in heat transfer rate achieved by adding fins to (a) the water side, (b) the air side, and (c) both sides. (Neglect temperature drop through the wall.)
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.
When comparing conduction velocity between warm and cold temperatures, why would conduction velocity in warm temperature have a higher range of conduction velocity values compared to the cold temperature data.?