2. Heat conduction in a square plate Three sides of ayrectangular plate (a5 m, b = 4 m) are kept at aT= 80°Ctemperature of 0 C and one side is kept at a temperatureC, as shown in the figure. Determine and plot theT=0T=0temperature distribution T(x, y) in the plate.T=0The temperature distribution, T(x, y) in the plate can bedetermined by solving the two-dimensional heat equation. For the given boundary conditionsT(x, y) can be expressed analytically by a Fourier series (Erwin Kreyszig, Advanced EngineeringMathematics, John Wiley and Sons, 1993):

The given problem is a case of 2D heat transfer problem in a rectangular plate. As there is no heat…

2. Heat conduction in a square plate Three sides of a y+ rectangular plate (a = 5 m, b = 4 m) are kept at a T= 80°C temperature of 0 C and one side is kept at a temperature C, as shown in the figure. Determine and plot the T=0 T=0 temperature distribution T(x, y) in the plate. T=0 a The temperature distribution, T(x, y) in the plate can be determined by solving the two-dimensional heat equation. For the given boundary conditions T(x, y) can be expressed analytically by a Fourier series (Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley and Sons, 1993):

2. Heat conduction in a square plate Three sides of a y+ rectangular plate (a = 5 m, b = 4 m) are kept at a T= 80°C temperature of 0 C and one side is kept at a temperature C, as shown in the figure. Determine and plot the T=0 T=0 temperature distribution T(x, y) in the plate. T=0 a The temperature distribution, T(x, y) in the plate can be determined by solving the two-dimensional heat equation. For the given boundary conditions T(x, y) can be expressed analytically by a Fourier series (Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley and Sons, 1993):

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 2.55P: 2.55 A long, 1-cm-diameter electric copper cable is embedded in the center of a 25-cm-square...

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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.
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
A 0.6-cm diameter mild steel rod at 38C is suddenly immersed in a liquid at 93C with hc=110W/m2K. Determine the time required for the rod to warm to 88C.
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.
2.55 A long, 1-cm-diameter electric copper cable is embedded in the center of a 25-cm-square concrete block. If the outside temperature of the concrete is 25oC and the rate of electrical energy dissipation in the cable is 150 W per meter length, determine temperatures at the outer surface and at the center of the cable.
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.
1.63 Liquid oxygen (LOX) for the space shuttle is stored at 90 K prior to launch in a spherical container 4 m in diameter. To reduce the loss of oxygen, the sphere is insulated with superinsulation developed at the U.S. National Institute of Standards and Technology's Cryogenic Division; the superinsulation has an effective thermal conductivity of 0.00012 W/m K. If the outside temperature is on the average and the LOX has a heat of vaporization of 213 J/g, calculate the thickness of insulation required to keep the LOX evaporation rate below 200 g/h.
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.
1.52 A flat roof of a house absorbs a solar radiation flux of . The backside of the roof is well insulated, while the outside loses heat by radiation and convection to ambient air at . If the emittance of the roof is 0.80 and the convection heat transfer coefficient between the roof and the air is K, calculate (a) the equilibrium surface temperature of the roof and (b) the ratio of convection to radiation heat loss. Can one or the other of these be neglected? Explain your answer.
350 pipes are fixed as square in a pipe bundle used for condenser. PipeThe outer diameters are 8 mm and the steam at 0.2 bar is desired to be condensed on the pipes. pipe outer The surface temperature is kept constant at 30 °C. If the length of the pipes is 1.5 m, the heat transferred in the systemCalculate the amount of energy and the amount of condensed steam
HEAT TRANSFER A 2-in steel pipe has an inside diameter of 5.25cm and anoutside diameter of 6.03cm. The pipe has a thermal conductivity of k= 36 W/m*Kthat is insulated with a 2-cm-thick-layer of insulation(k=0.02 W/m*K). The inside surface of the pipe ismaintained at a temperature of 60°C, and the outside surfaceof the insulation is maintained at a temperature at 20°C.Find the heat transfer from the pipe per meter of length. SHOW COMPLETE SOLUTION IN A PAPER.
4.A steel plate is exposed to solar heat flux of 800 W/m² on one side. The plate is exposed to air at 30°C on both sides. The convection coefficients are 10 W/m²K on the back side and 15 W/m²K on the front. Determine the equilibrium temperature. Neglect radiation loss