In a slab of material 0.25 m thick and having a thermal conductivity of 45 W/mK,...

In a slab of material 0.25 m thick and having a thermal conductivity of 45 W/mK, the
temperature °C at x under steady state is given by T = 100 + 200x – 400x2 when x is measured
from one face in m. Determine the heat flow at x = 0, x = 0.125 and x = 0.25 m and also the
temperatures and temperature gradients at these planes. If the difference in heat flow at these
sections is due to the heat generation, determine the heat generation rate per unit volume.

Expert Solution

samet mamat answered 2 years ago

A composite cylindrical wall is composed of 2 materials of thermal conductivity ka = 240 W/mK...

A composite cylindrical wall is composed of 2 materials of thermal conductivity ka = 240 W/mK and kb = 20 W/mK, where interfacial contact resistance is negligible. - Liquid pumped through the tube is at a temperature Tinf, i = 200 F and provides a convection coefficient hi = 450 W/m^2K at the inner surface of the composite pipe -The outer surface is exposed to Tinf, o and provides a convection coefficient of ho = 20 W/m^2K -A thermocouple between...

A plane wall has thickness of 5 cm, thermal conductivity of 2 W/mK and generates heat....

A plane wall has thickness of 5 cm, thermal conductivity of 2 W/mK and generates heat. The left face of the wall (x=0) has a surface temp. of 80C and has air at 20C flowing past it with a heat transfer coefficient of 50 W/m^2K. If the right face is insulated then the temperature distribution through the wall has a general format T(x)=A+B*x+C*x^2 (a) Draw a properly labeled diagram (including a representative temperature distribution), state all assumptions and calculate the...

3. A stainless steel sphere of thermal conductivity 16 W/m · K with a diameter of...

3. A stainless steel sphere of thermal conductivity 16 W/m · K with a diameter of 4 cm is exposed to a convective environment of 15 W/m2 · K, 20?C. Heat is generated uniformly in the sphere at a rate of 1.0 MW/m3 . Determine the steady-state temperature of the sphere at its center and its surface. Also determine the heat flux at a radius of 1.5 cm.

Q1. Suppose a hollow cylinder made of SS 316 with the thermal conductivity of 16.26 W/m...

Q1. Suppose a hollow cylinder made of SS 316 with the thermal conductivity of 16.26 W/m K, has inner diameter and thickness of 0.4 and 0.03 m, respectively and length of 1 m. Find the outer diameter of the cylinder (in meter) Q2. Calculate the thermal energy generation, if the volumetric heat generation inside the cylinder equal to 2.2 x 10^5 W/m^3 Q3. If the outer diameter of cylinder is changed to 0.46 m and the cylinder is cooled by...

1. Suppose a hollow cylinder made of SS 316 with the thermal conductivity of 16.26 W/m...

1. Suppose a hollow cylinder made of SS 316 with the thermal conductivity of 16.26 W/m K, has inner diameter and thickness of 0.4 and 0.05 m, respectively and length of 1 m. Find the outer diameter of the cylinder (in meter) 2. Calculate the thermal energy generation, if the volumetric heat generation inside the cylinder equal to 2.1 x 10^5 W/m^3 3. If the outer diameter of cylinder is changed to 0.46 m and the cylinder is cooled by...

Convert: a. Thermal conductivity value of 0.3 Btu/(h ft oF) to W/(m oC). b. Surface heat...

Convert: a. Thermal conductivity value of 0.3 Btu/(h ft oF) to W/(m oC). b. Surface heat transfer coefficient value of 105 Btu/(h ft^2 oF) to W/(m^2 oC)

Heat is generated uniformly at a rate of 2x105 W/m3 in a wall of thermal conductivity...

Heat is generated uniformly at a rate of 2x105 W/m3 in a wall of thermal conductivity 25W/m K and thickness 60 mm. The wall is exposed to convection on both sides, with a fluid temperature of 30C and h = 50W/m2 K on the left side, a fluid temperature of 15C and h = 12 W/m2 K on the right side. (a) Determine surface temperature on each side of the wall, and (b) the maximum temperature in the wall.

A spherical shell of wood with thermal conductivity of 0.13 W/m.K and an inner and outer...

A spherical shell of wood with thermal conductivity of 0.13 W/m.K and an inner and outer radius of 10 cm and 20 cm respectively contains a mixture of water and water vapor(100 C) inside the shell which is undergoing a phase change at atmospheric pressure. The shell is suspended in a large room with an ambient air temperature of 25 C Determine the temperature on the outer surface of the spherical shell and rate of heat loss from the fluid...

The thermal conductivity of an insulating material used over a hot pipe varies as k =...

The thermal conductivity of an insulating material used over a hot pipe varies as k = 0.0545 (1 + 28.4 × 10–4 T) where T is in °C and k is in W/mK. This insulation is used for a thickness of 12 cm over a pipe of diameter 0.6 m. The pipe surface is at 300°C and the outside insulation temperature is 60°C. Determine the heat flow for a length of 5 m. Also find the mid layer temperature.

A new material has a measured thermal conductivity k of 200 BTU-in/hr-ft2 -°F. Is this material...

A new material has a measured thermal conductivity k of 200 BTU-in/hr-ft2 -°F. Is this material a thermal insulator or a conductor? Calculate the R and U values for a block of this material that is 3 inches thick. Now sandwich this block of material between two sheets of R-0.8 fiberboard. What is the new effective U value?

Question