Find the steady temperature distribution in the semi infinite plate shown below.The 2D steady heat conduction equation is:use the method of separation of variables. Find the steady state temperature distribution in the semi infinite plate shown below.The 2D steady heat conduction equation is:yT1insulatedT1T1T(x, 0) = 0dTT(), у) %3D 0 Tх, W) — 0+= 0ôx ` əydx (L,y) = 0

For T assuming a product so;ution…

Find the steady state temperature distribution in the semi infinite plate shown below. The 2D steady heat conduction equation is: y T1 insulated T1 T1 dT = 0 Т(x, 0) — 0 T(0, y) = 0 T(x, W) = 0 = 0 dx

Find the steady state temperature distribution in the semi infinite plate shown below. The 2D steady heat conduction equation is: y T1 insulated T1 T1 dT = 0 Т(x, 0) — 0 T(0, y) = 0 T(x, W) = 0 = 0 dx

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.

Chapter2: Steady Heat Conduction

Section: Chapter Questions

Problem 2.60P

See similar textbooks

Related questions

Q: What is the specific enthalpy (kJ/kg) and specific entropy (kJ/kg-K) of a steam with a specific…

Q: QUESTIONS 1- Describe with net sketch: a. Pattern b. Riser c. Runners d. Core 2- Compare between…

Q: The given figure shows a thermal network with To1 = 325.15 K, T1 = 310.15 K, Rwall = 0.08 KW, and…

Q: A cantilever beam AB, loaded by a uniform load and a concentrated load (see figure), is constructed…

A: If the cross section has the dimensions stated and the moment of inertia about the z-axis is 3.10…

Q: ndly show your complete handwritten solution. Answers in m

A: SteelE=200GPa=200000MPaL=3mAluminiumE=70GPa=70000MPaL=2mP=20KNA=500mm2 To-Find:- a) Deformation of…

Q: A local municipality is tasked with managing the sediment from its three streams originating from…

Q: The device shown is used for determining the shear strength of the wood. The dimensions of the wood…

Q: There are 1.5 kgm of gas for which R=0.377kJ/kg-K and k=1.3 that undergo an isometric process from…

A: Given Mass, m = 1.5 kg Heat removed, Q = - 1500kJ R =…

Q: PROBLEM 2.2 A 1.5 m long steel wire of 6 mm diameter steel wire is subjected to a 3.4 kN tensile…

Q: Find the transfer function 0,(s)/T(s) of the given mechanical network below. Show your complete…

Q: two 5 cm diameter, 15 cm long aluminum bars (k=176W/m(degrees Celsius)) with ground surfaces are…

Q: 2. There are received 90,000 kg/h of steam at 2.156 MPa, 481 ° C by a Rankine cycle and Rankine Eng…

Q: Complete the balanced chemical equation for the combustion of ethane, C2H6. C2H6 O2 + N2 CO2 + H20 +…

Q: Q3. Select the correct form of equation for the angular momentum about O (kg.m (A) Ho = ro x (MBVB +…

A: 3). angular momentum about O is... Ho=rA*mAvA +rB*mBvB+rc*mCvC Here taking cross product between…

Q: A motor pulls a 1000 kg object up a hill with a 10 degree incline. It starts initially at rest and…

Q: Q=2000J Vout =? m (kg/s) D=0.1m air Air at (4.75x10^2) K flows out of a circular pipe at 101325 Pa…

A: Using ideal gas equation P=rho*R*T 101325=rho*287*475 Rho(density)=0.7433kg/m^3

Q: 70° 70° F2 F1 5m A 2m A column of 5m height is subject to 2 forces, F1 = 83N and F2 = 50N as %3D…

Q: 5.16. For a centrifugal compressor rotating at 2500 rpm, find the compression ratio for the…

Q: At the instant shown, object A's speed is vA = 5.9 m/s, and it is increasing at 1.2 m/s2; object B's…

Q: single-pass, cross-flow heat exchanger uses hot exhaust gases (mixed) to heat water (unmixed) from…

Q: A hollow shaft carries a torque 3.4 kN-m at a shearing stress of 55 MPa. The outside diameter is…

A: Determine the inside diameter in mm.

Q: A storage tank with base area 40 m2 is being filled with water through a duct in which the…

A: The volume of fluid flowing through a certain cross-sectional area per unit time is known as the…

Q: There are 1.5 kgm of gas for which R=0.377kJ/kg-K and k=1.3 that undergo an isometric process from…

A: Given Mass, m = 1.5 kg Temperature, T1 = 60oC Pressure, P = 550kPa Heat…

Q: A 450-g ball B is moving along a horizontal circular path at a constant speed of 4 m/s. 2. Determine…

Q: Problem 1) Determine the spring constant, k if the unstretched length of the spring is 3.2 meters…

A: Given Data: Unstretched length, L=3.2 m

Q: An electrical firm manufactures light bulbs that have a lifetime that is approximately normally…

A: A speculation about the worth of a populace boundary is an affirmation about its worth. As in the…

Q: A uniform ladder of length L and weight w is leaning against a vertical wall. The coefficient of…

Q: A) A DC motor driven pump running at 100 RPM delivers 30 L/sec of water at 40C (d = 992.3 kg/m3 )…

A: Given data: N1=100 RPMQ=30 L/s=30×10-3 m3/sρ=992.3 kg/m3η=60%H1=27 mH2=36 m Need to determine the…

Q: Determine the diameter of 12 ft long steel line shaft which is subjected to a bending action due to…

A: Question: Determine the diameter of 12 ft long steel line shaft which is subjected to a bending…

Q: A 2200-kg truck is being used to lift a 450 kg load A, as shown. Knowing the acceleration of 1. thg…

A: GivenM=2200kgmA=450kga=0.30m/s2

Q: P= 28 kip -Rigid plate T= 550 kip-ft Plane of weld Figure P6-89

Q: The top of the folding workbench has a mass of 51 kg with mass center at G. Calculate the magnitude…

Q: 1. Steam is generated at 4.352 MPa and 451.325°C and condensation occurs at 0.1166 MPa. a) For…

A: Given data Generated steam pressure = 4.352 MPa = 43.52 bar Generated steam temperature = 451.325oC…

Q: Practice Problem: FUNDAMENTALS OF MACHINING (PART 2) You are the engineer of a company that…

Q: Moment of Inertia of an Area w.r.t (a) the x-axis (b) the y-axis Determine the second moment of the…

Q: 4. A composite cantilevered rectangular beam with a length of 1 meter. Height 65 mm, width = 25 mm.…

Q: Q// When the galvanized iron sheets come with dimensions (2x1)m. Calculate the number of sheets…

A: The equal friction strategy for measuring air pipes is regularly favored in light of the fact that…

Q: Problem Set – Temperature Change 2. Based on the figure below, a steel rod was fitted on the copper…

Q: 1. Determine the shear and moment in the floor girder as a function of x. 2. Draw the shear and…

Q: The complex mechanical impedance in a pipe at (x = 0) is Z =-jp.cS Cot(kL) if the other end (x L) of…

A: Answer: Each of the impacts considered in this study is symbolized by a different F-value, for a…

Q: A refrigerating system using R – 134a has a load of 20 kW. Limits of operating pressures are 750 kPa…

Q: Poisson's ratio of the rod

A: Given; Find Poisson's ratio of the rod material ?Where, Metallic rod length, l=500 mmDia,d=50…

Q: A two - stage ammonia compression refrigerating system with flash intercooling and flash gas removal…

A: Given Data The mass flow rate is:m˙1=0.2 kg/sec The evaporating temperature is:T=-30°C The…

Q: The pressure and temperature of air change from (5.5000x10^0) bar to (1.00x10^0) bar and from…

Q: Write the name of the table in the picture. Name the Appendix

Q: Problem 3) Determine the reactive forces at A and B. 14 kN E 2 m 16 kN F 2 m A B.

A: From equilibrium conditions for above fbd

Q: A boat is traveling along a circular curve having a radius of 100 ft. If its speed at t = 0 is 20…

A: Answer: The magnitude of the acceleration at that instant is 8.1358 ft/s2.

Q: 25 mm A The disk rotates about a fixed axis through O with angular velocity w = 2 rad/s and angular…

Q: Assume you are bending a 3/16” thick rolled plate of Al 6061-T6 at a 90-degree angle. The initial…

A: Solution: Given Data: t=316"Ri=0.35" Note: Yield strength of Al 6061-T6 is: Sy=35000 psi Young's…

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

Find the steady temperature distribution in the semi infinite plate shown below.

The 2D steady heat conduction equation is:

use the method of separation of variables.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 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

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.
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 .
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.
The handle of a ladle used for pouring molten lead is 30 cm long. Originally the handle was made of 1.9cm1.25cm mild steel bar stock. To reduce the grip temperature, it is proposed to form the handle of tubing 0.15 cm thick to the same rectangular shape. If the average heat transfer coefficient over the handle surface is 14 W/m K, estimate the reduction of the temperature at the grip in air at 21C.
2.2 A small dam, which is idealized by a large slab 1.2 m thick, is to be completely poured in a short Period of time. The hydration of the concrete results in the equivalent of a distributed source of constant strength of 100 W/m3. If both dam surfaces are at 16°C, determine the maximum temperature to which the concrete will be subjected, assuming steady-state conditions. The thermal conductivity of the wet concrete can be taken as 0.84 W/m K.
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?
2.43 A turbine blade 6.3 cm long, with cross-sectional area and perimeter , is made of stainless steel . The temperature of the root, , is . The blade is exposed to a hot gas at , and the heat transfer coefficient is K. Determine the temperature of the blade tip and the rate of heat flow at the root of the blade. Assume that the tip is insulated.
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.
2.44 To determine the thermal conductivity of a long, solid 2.5-cm-diameter rod, one half of the rod was inserted into a furnace while the other half was projecting into air at . After steady state had been reached, the temperatures at two points 7.6 cm apart were measured and found to be and , respectively. The heat transfer coefficient over the surface of the rod exposed to the air was estimated to be 22.7 . What is thermal conductivity of the rod?
1.60 Two electric resistance heaters with a 20 cm length and a 2 cm diameter are inserted into a well-insulated 40-L tank of water that is initially at 300 K. If each heater dissipates 500 W, what is the time required for bringing the water temperature in the tank to 340 K? State your assumption for your analysis.
A thin-wall jacketed tank heated by condensing steam at one atmosphere contains 91 kg of agitated water. The heat transfer area of the jacket is 0.9m2 and the overall heat transfer coefficient U=227W/m2K based on that area. Determine the heating time required for an increase in temperature from 16C to 60C.
EXAMPLE 1| Aspherical container of inner radius r1 =2 m, outer radius 2= 2.1 m, ‘and thermal conductivity k=30 Wim - °C is illed with iced water at 0°C e container is gaining heat by convection from the surrounding air at 7 = 25°C with a heat transfer coeflicient of h = 18 W/m2 - °C. Assuming the inner surface temperature of the container to be 0°C, ) express the differential equation and the houndary conditions for steady one-dimensional heat conduction through the container ) obtain a relation for the variation of temperature in the cantainer by solving the differential equation €) evaluate the rate of heat gain 10 the iced water.