Consider a long bar of rectangular cross section (60 mm by 90 mm on a side) and of thermal conductivity 1 W/m-K. The surface is exposed to a convection process with air at 100°C and a convection heat transfer coefficient of 100 W/m2.K, while the remaining surfaces are maintained at 50°C. Use a grid spacing of 30 mm and the Gauss-Seidel iteration metho to solve the problem. Take an initial estimate of 0°C for all the nodal temperatures and ɛ < 0.35°C convergence criterion T, = 100°C h = 100 W/m²-K Fluid 1 - T, = 50°C Av = 30 mm T, = 50°C Ax= 30 mm T = 50°C What is the temperature of Node 2? (Note: Round off the answer up to 2 decimal places.) T2 =[ 51.45 °C

Consider a long bar of rectangular cross section (60 mm by 90 mm on a side) and of thermal conductivity 1 W/m-K. The surface is exposed to a convection process with air at 100°C and a convection heat transfer coefficient of 100 W/m2.K, while the remaining surfaces are maintained at 50°C. Use a grid spacing of 30 mm and the Gauss-Seidel iteration metho to solve the problem. Take an initial estimate of 0°C for all the nodal temperatures and ɛ < 0.35°C convergence criterion T, = 100°C h = 100 W/m²-K Fluid 1 - T, = 50°C Av = 30 mm T, = 50°C Ax= 30 mm T = 50°C What is the temperature of Node 2? (Note: Round off the answer up to 2 decimal places.) T2 =[ 51.45 °C

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.

Chapter1: Basic Modes Of Heat Transfer

Section: Chapter Questions

Problem 1.57P

See similar textbooks

Similar questions

A plane slab, 8.5 cm thick, is generating heat uniformly at the rate of 12962 W/m-3. It is fully insulated on side, while the other side is exposed to 48 deg C air blasted by a blower resulting in a convection coefficient of 125 W m-2 K-1. Assuming 1D, SS heat transfer with negiligible radiation, estimate the slab temperature where it is in contact with the air. Enter your answer in deg C using 3 significant digits.
You are designing a new eco-friendly thermal coffee mug. It is shaped like a small globe to minimize surface area, which is only about 0.04m^2. You use two 0.003m layers of recyclable PETE which has a thermal conductivity, k, of 0.2W/mK around a 0.01m layer of dead air, with a thermal conductivity of 0.026W/mK. Since this is for hot coffee, use a temperature difference of 40K. Q = Ax (T2-T1) / (R1 + R2 + etc) R =x/k. A)what is the R-value for each of the two PETE layers? B) what is the R-value for the dead air? C) Which layer is the best insulator? D. What is the heat loss through the surface in Watts?
You are designing a new eco-friendly thermal coffee mug. It is shaped like a small globe to minimize surface area, which is only about 0.04m^2. You use two 0.003m layers of recyclable PETE which has a thermal conductivity, k, of 0.2W/mK around a 0.01m layer of dead air, with a thermal conductivity of 0.026W/mK. Since this is for hot coffee, use a temperature difference of 40K. Q = Ax (T2-T1) / (R1 + R2 + etc) R =x/k. What is the heat lose through the surface in watts?
Heat Loss by Convection and Conduction.A glass window with an area of 0.557 m2is installed in the wooden outside wall of a room. The wall dimensions are 2.44 × 3.05 m. The wood has akof 0.1505 W/m · K and is 25.4 mm thick. The glass is 3.18 mm thick and has akof 0.692. The inside room temperature is 299.9 K (26.7°C) and the outside air temperature is 266.5 K. The convection coefficienthion the inside wall of the glass and the wood is estimated as 8.5 W/m2· K; the outsideh0is also estimated as 8.5 for both surfaces. Calculate the heat loss through the wooden wall, through the glass, and the total.
A cylindrical nuclear fuel rod generates heat at a rate of 71 MW3. It is cooled by fluid at 417 K such that the temperature profile in the rod does not change over time. The heat transfer coefficient between the rod and the fluid is 67 kW/m2K. The rod is 7.5 cm in diameter and has a thermal conductivity of 25 W/mK. Starting from the general conduction equation in cylindrical coordinates, what is the maximum temperature in the rod? Give your answer in Kelvin to the nearest integer.
Steel pipe 5 cm thick, 1.0 m long and 12 cm deep, covered with 8 cm thick insulation. The wall temperature in the steel pipe is 100 ° C. The ambient temperature around the insulated pipe is 24 ° C. The convection heat transfer coefficient outside the insulation surface is 50 W / (m² K). The thermal conductivity of steel is 54 W / (m K), and the thermal conductivity of the insulation is 0.04 W / (m K). Count; a. Heat loss per meter of pipe = watt. b. Temperature between steel pipe and insulation. = ° C.
Steel pipe 5 cm thick, 1.0 m long and 10 cm deep, covered with 6 cm thick insulation. The wall temperature in the steel pipe is 100 ° C. The ambient temperature around the insulated pipe is 24 ° C. The convection heat transfer coefficient outside the insulation surface is 50 W / (m² K). The thermal conductivity of steel is 54 W / (m K), and the thermal conductivity of the insulation is 0.04 W / (m K). Count; a. Heat loss per meter of pipe = Answer watt. b. Temperature between steel pipe and insulation. = Answer ° C.
A thin plate is initially at a uniform temperature of 500°C. At a certain time t =0 the temperature of the east side of the plate is suddenly reduced to 0°C. The other surface is insulated. Use the fully implicit finite volume method in conjunction with a suitable time step size of 3s to calculate the transient temperature distribution of the slab at time t=30s. The data are: plate thickness L = 4 cm, thermal conductivity k = 20 W/m.K and ρc = 10 × 10^6 J/m3.K Answer by own.
Explain how Fourier’s law of conduction (in one-dimensional cartesian system) can be applied to experimentally measure the thermal conductivity of solid materials. What are the necessary conditions and assumptions?
A freezer of dimensions 4 m wide, 6 m long and 3 m high is under construction. The walls and ceiling are composed of 1.7 mm stainless steel (k = 15 W / [m ° C]), 10 cm thick foam insulation (k = 0.036 W / [m ° C]), a specific thickness of corkboard (k = 0.043 W / [m ° C]), and 1.27 cm thick wood (k = 0.104 W / [m ° C]). The inside of the freezer is maintained at -30 ° C. The ambient air outside the freezer is 32 ° C. The convective heat transfer coefficient is 5 W / (m K) on wooden walls and 2 W / (m² K) on stainless steel surfaces. If the outside air has a dew point of 29 ° C, calculate the thickness of the corkboard insulation that will prevent moisture condensation on the outside walls of the freezer. Calculate the heat transfer rate through the walls and ceiling of this freezer. Ignore heat transfer from floors and corners of buildings. a. Thickness of corkboard insulation = cm. b. Heat transfer rate through walls and ceiling = watts.
Steel pipe 1 cm thick, 1.0 m long and 5 cm inside diameter, covered with 2 cm thick insulation. The wall temperature in the steel pipe is 100 ° C. The ambient temperature around the insulated pipe is 24 ° C. The convection heat transfer coefficient outside the insulation surface is 50 W / (m² K). The thermal conductivity of steel is 54 W / (m K), and the thermal conductivity of the insulation is 0.04 W / (m K). Count; a. Heat loss per meter of pipe = Answer watt. b. Temperature between steel pipe and insulation. = Answer ° C.
Two metallic rods are connect in parallel to heat reservoirs held at T1 and T2, respectively. One rod has a circular cross section and the other has a square cross section. Calculate the heat flow rate for the two rods for the following parameters: Rod 1 Diameter Rod 1 Thermal Conductivity Rod 1 Length Rod 2 Area Rod 2 Thermal Conductivity Rod 2 Length T1 T2 1.50E-02 2.91E+02 2.00E+00 2.50E-05 1.63E+02 1.00E+00 3.50E+02 1.00E+02 Make sure to express your answer in scientific notation with 2 decimal points.