Consider a medium in which the heat conduction equation is given in itssimplest form asот т 1 ст(9) Is heat transfer steady or transient?(10) Is heat transfer one-, two-, or three-dimensional.(11) Is there heat generation in the medium?(12) Is the thermal conductivity of the medium constant orvariable?

Consider a medium in which the heat conduction equation is given in it simplest form as т т 1 ст a ôt (9) Is heat transfer steady or transient? (10) (11) Is heat transfer one-, two-, or three-dimensional. Is there heat generation in the medium?

Consider a medium in which the heat conduction equation is given in it simplest form as т т 1 ст a ôt (9) Is heat transfer steady or transient? (10) (11) Is heat transfer one-, two-, or three-dimensional. Is there heat generation in the medium?

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 4.1P

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: 1) Hot water at an average temperature of 60°C is flowing through a 10-m section of a cast iron pipe…

A: Temperataure of water inside the pipe, T1=60 °C,Length of the pipe, L=10 m,Thermal conductivity of…

Q: The steel rod (k=43 W/m.K) has 0.3 m is located between two walls seen in figure. The left and right…

A: Let consider the rods as a fin with the fixed temperature from both ends. So the equations for heat…

Q: Required information Consider steady two-dimensional heat conduction in a square cross section (3 cm…

A: STEP 1 OF 8

Q: Q2: A hot surface at 150°C is to be cooled by attaching 4- cm-long, 0.3-cm-diameter aluminum pin…

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

A: given:

Q: A mild steel square tank with a wall thickness of 8mm contains water at 80°C. The thermal…

Q: 20 mm diameter copper pipe is used to carry heated water, the external surface of the pipe is…

A: Given data: Diameter of copper pipe, d = 20 mm. Convective heat transfer coefficient of the…

Q: Airat temperature of 120 °C is contained in a thin-wall steel tube with heat-transfer coefficient 65…

A: Dear student, I have calculated overall heat transfer coefficient on the basis of inner and outer…

Q: A 30 mm diameter aluminium pipe is used to carry hot water, the external surface of the pipe is…

A: Given that, Diameter of Al pipe = d = 30 mm Convective heat transfer coefficient = h = 8 W/m2K…

Q: Explore the effect of insulation thickness on the heat loss q and the temperature of the nsulation…

A: The problem can be sketched as follows,

Q: Consider heat transfer through a windowless wall of a house on a winter day. Discuss the parameters…

A: The diagram of a windowless wall of a house is given as, In this above diagram, the thermal…

Q: A cylindrical tube with inner and outer radius are 10 mm and 20 mm respectively and the temperature…

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

Q: A 6.35 m of gylindrical tube whose inner surface is maintained at a temperature of T = 5°C is…

A: given data;lenth of the tube(l)=6.35minner radius(ri)=25mm=0.025mouter radius(ro)=75mm=0.075mthermal…

Q: Q18: Heat is generated uniformly at a rate of 2.6 x10 W/m3 in a spherical ball (k = 45 W/m C) of…

Q: -9- The plate shown in figure is at a uniform surface temperature of L=5m T, = 50°C. Heat is removed…

A: Given Data: The surface temperature of the plate is Ts=50°C. The ambient temperature is T∞=25°C.…

Q: Q2/ A metal plate of 4mm thickness (k = 95.5 W/m°C) is exposed to vapor at 100°C on one side and…

A: thickness of plate, t=4mmthermal conductivity of plate, k=95.5W/m-Kheat transfer coefficient on…

Q: Steam in a heating system flows through tubes whose outer diameter is 10 cm and whose walls are…

Q: Consider a pipe with an inner radius of 15 cm, an outer radius of 20 cm, and k = 15 W / m ∙ oC. The…

Q: To cool the hot oil, an engineer has suggested that the oil be pumped through a submerged pipe in a…

Q: Steam in a heating system flows through tubes whose outer diameter is 5 cm and whose walls are…

A: Given that, Outer diameter of tube(D1) =5cm Temperature of wall's tube(Tb) =198.06…

Q: Water flows at 67 C inside a 2.5 cm inside diameter tube such that hi = 3500 W/m² .C. The tube has a…

Q: For the wall construction shown in figure below determine; 1- The oerall heat transfer coefficient…

A: Draw the network diagram for a better understanding of the problem.

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: Steam in a heating system flows through tubes whose outer diameter is 5 cm and whose walls are…

A: Given dataTemperature of the walls Tb=1300CThermal conductivity of 2024-T6 fins k = 186W/m0COuter…

Q: Starting with an energy balance on a disk volume element, derive the one-dimensional transient heat…

A: Assumptions: A two-dimensional disc, constant value of thermal conductivity and heat generation…

Q: Steam in a heating system flows through tubes whose outer diameter is 5 cm and whose walls are…

A: Given Data Outer diameter of tubes is : D1=5 cm=0.05 m Outer diameter of fin is : D2=6 cm=0.06 m…

Q: Hot wastewater of a heat recovery system is flowing through a concrete conduct (k = 1.4 W/m-K) of…

A: Given Datak=1.4W/mKt=10cmh=35W/m2K△x=△y=5cm=0.05mT∞=12°CTi=300°C

Q: Warm air is blown over the inner surface of the windshield of an automobile to defrost ice…

A: Given:L=5 mmK=1.4 W/m.KTo=-10°Cho=200 W/m2.KTi=25°C

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

Q: The addition of aluminum fins has been suggested to increase the rate of heat dissipation from one…

Q: how is a three-dimensional heat equation reduced if heat transfer occurs in an insulated long, thin…

A: The 3 dimensional heat equation can be written as : ∂2t∂x2+∂2t∂y2+∂2t∂z2+qgen =ρ ck ∂t∂τx,y,z are…

Q: a. Consider a 5-m-high, 8-m-long, and 0.20-m-thick wall whose representative cross section is as…

A: Answer: The total thermal resistance of the wall is 0.2 K/W.

Q: A 5.1-m internal diameter spherical tank made of 1.6-cm-thick stainless steel (k = 15 w/m- c) is…

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: e heat transfer coefficient remains constant ne of the above e heat transfer coefficient will…

Q: 1. The resistance wire of a 1000 Watt iron is 40 cm long and has a diameter of D= 0.2cm. Determine…

Q: Electric current flows in a 10 mm diameter conductor device with a length of 1 m. A rod with a…

Q: Consider a medium in which the heat conduction equation is given in its simplest form as %3! a at I…

A: Objective: to determine which of the following statement are correct.

Q: Q3. A small electric heating application uses wire of 2 mm diameter with 0.8 mm thick insulation (k…

A: Given, r1=1 mmr2=1.8 mmk=0.15 W/m°Ch∘=31 W/m2°C

Q: Q3. A small electric heating application uses wire of 2 mm diameter with 0.8 mm thick insulation (k…

A: Given Data Diameter of wire, d=2 mm Insulation thickness, t=0.8 mm K=0.15 W/mC h0=31 W/m2C Outer…

Q: The addition of aluminum fins has been suggested to increase the rate of heat dissipation from one…

Q: A completely solid object with k = 3.46 W / (m-K) and circular cross section to transfer heat by…

A: Given, Completely Solid Object with Thermal Conductivity, K = 3.46 W / (m-k) T1 = 600K, T2 = 400K L…

Q: Steam at 250°C flows in a stainless steel pipe (k = 15 W/m.K) whose inner and outer diameters are 4…

A: The data given is, Steam temperature, T1 = 250°C Thermal conductivity of steel, kp = 15 W/(m.K)…

Q: A pipe carrying hot gasses is insulated with a material having a thermal conductivity of 0.15 W/mK.…

Q: Delow. The 8uter surfaces are exposed to a fluid at 25°C and a convection heat transfer coefficient…

Q: Q2/ A metal plate of 4mm thickness (k = 95.5 W/m°C) is exposed to vapor at 100°C on one side and…

A: 2) Metal plate thickness, t=4mm=0.004m Thermal conductivity of the plate, kp=95.5 W/moC Vapor…

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

Consider a medium in which the heat conduction equation is given in its
simplest form as
от т 1 ст
(9) Is heat transfer steady or transient?
(10) Is heat transfer one-, two-, or three-dimensional.
(11) Is there heat generation in the medium?
(12) Is the thermal conductivity of the medium constant or
variable?

Expert Solution

Step 1

$g i v e n h e a t c o n d u c t i o n e q u a t i o n a s s h o w n b e l o w$

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 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

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 .
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.
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.
A steam pipe 200 mm in diameter passes through a large basement room. The temperature of the pipe wall is 500C, while that of the ambient air in the room is 20C. Determine the heat transfer rate by convection and radiation per unit length of steam pipe if the emissivity of the pipe surface is 0.8 and the natural convection heat transfer coefficient has been determined to be 10 W/m2K.
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.
#m 3 E D C F3 $ 4 R F Ac = 1m² V Too,1=1 K h₁ = 1 W/m²K (5) Consider a wall (as shown above) of thickness L=1 m and thermal conductivity k-1 W/m-K. The left (x=0) and the right (x=1 m) surfaces of the wall are subject to convection with a convectional heat transfer coefficient h = 1 W/m²K and an ambient temperature T.= 1 K. Heat generation inside the wall is q=1W/m³. You may assume 1-D heat transfer, steady state condition, and neglect any thermal contact resistance. Find T(x). 44 % 5 Q Search F5 T G T₁ B x=0 * A 6 q=1 W/m³ k= 1W/mK L=1m F6 Y H F7 & 7 T₂ x= 1 m U N Top 2 = 1 K h₂=1 W/m²K PrtScn F8 8 Home M F9 ( 9 K End F10 0 L PgUp
Consider a medium in which the heat conduction equation is given in its simplest form as: ƏT 1 a r2 r² ər ar a dt (i) Is heat transfer steady or transient? (ii) Is the heat transfer one-, two-, or three-dimensional? (iii) Is the heat generation in the medium? (iv) Is the thermal conductivity of the medium constant or variable?
h = 11 W/m R (Uutslut Consider steady-state heat conduction through a cylindrical wall T The fluid on the inside. at 590 K with a heat transfer coefficiect of 23 W/m“ K. The temperature on the outsida surface of the wall is known and maintained at 420 K. The heat flow rate through the cylind-ie. Wall is 200 W per 1 m length of the cylinder. If the wall has a thermal conductivity of 0.17 K. what are the inside and outside radii of the cylindrical wall? The ratio of the outside radiue inside radius is 2. Calculate the net heat flow by radiation to the fumace all at 530 K from the fumace (3) floor at 810 K. Both surfaces can be considered to be black radiators. ::!...: AT 1 1.... 3.7 の- Ta-
Consider 1D heat conduction in a Cu rod with an average temperature of 25C. Does there exist a maximum (or upper-limit value) temperature gradient for heat conduction. If so, what is that value with justification on the derivation/scientific reasoning. The thermal conductivity is k=385 W/m*K. The diameter of the rod is left in terms of d.
Convection - Heat Transfer Coefficient (HTC) (1) The temperature of inner surface of insulation wall is t,=100°C, while the outer surface releases the heat by convection to surroundings air with temperature of -20°C. The thickness of the insulating layer is 5 cm and its thermal conductivity of 0,05 W/(m-K). What is the value of heat transfer coefficient on the outside this wall if its surface temperature t, is of 0°C.
Steam is being transported in a pipe at a chemical production facility in Gebze, Kocaeli. Theouter diameter of the pipe is 8 cm, and the surrounding air temperature is 20 °C. On the surface of thepipe, the combined heat transfer coefficient is 35 W/m2*K. The surface temperature of the pipe is 150 °C.Steady-state conditions exist.(a) What is the rate of heat loss from the pipe to the surroundings?(b) The power used to generate the steam is obtained from natural gas. Perform an online search forapproximate values of the calorific value of natural gas, as well as the cost of natural gas per cubicmeter, and estimate the financial loss due to heat loss from this steam pipe within a period of oneyear. Indicate your sources clearly in your answer.