Question

Water flows through a pipe at an average temperature of T =50°C. The inner and outer...

Water flows through a pipe at an average temperature of T =50°C. The inner and outer radii of the pipe are r1 = 6 cm and r2 = 6.5 cm, respectively. The outer surface of the pipe is wrapped with a thin electric heater that consumes 300 W per m length of the pipe. The exposed surface of the heater is heavily insulated so that the entire heat generated in the heater is transferred to the pipe. Heat is transferred from the inner surface of the pipe to the water by convection with a heat transfer coefficient of h= 55 W/m2 · °C. Assuming constant thermal conductivity and one-dimensional heat transfer, express the mathematical formulation (the differential equation and the boundary conditions) of the heat conduction in the pipe during steady operation. solve it

Engineering   Mechanical-Engineering   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1


0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Steam at an average temperature of ?∞= 400°C flows through a steel pipe. The inner and...
Steam at an average temperature of ?∞= 400°C flows through a steel pipe. The inner and outer radii of the pipe are r1 = 4 cm and r2 = 4.5 cm, respectively, and the outer surface of the pipe is insulated with a layer of 50 mm thick-calcium silicate of thermal conductivity of k = 0.5 W/m.K, and is maintained at 350 °C. If the convection heat transfer coefficient on the inner surface of the pipe is h = 65...
Liquid, pumped through the inside of the pipe, is at a temperature Ti = 400K and...
Liquid, pumped through the inside of the pipe, is at a temperature Ti = 400K and provides a convection coefficient hi = 450 W/m2-K at the inner surface of the pipe. The inside and outside radii of the pipe are r1 = 0.25 m, r2 = 0.31 m. The thermal conductivity of the pipe is 240 W/m-K. The outside radius of the insulation, r3 = 0.35 m. The thermal conductivity of the insulation is 20 W/m-K. The outside surface is...
Steam at 350°F flows through a 3-in (ID) copper pipe having a thickness of 0.22 in....
Steam at 350°F flows through a 3-in (ID) copper pipe having a thickness of 0.22 in. The outside surface of the pipe is insulated with 1-in-thick layer of fiberglass and 0.008-in-thick layer of aluminum. The outside surface of the insulation is exposed to air at 130°F. The convection coefficients for steam and air are 25 and 12 Btu/h-ft2 -°F, respectively. The thermal conductivity of fiberglass is 0.022 Btu/h-ft-°F. a. Calculate the rate of heat transfer for 30-ft length of the...
A flat wall is exposed to an environmental temperature of 38 degrees C. The wall is...
A flat wall is exposed to an environmental temperature of 38 degrees C. The wall is covered with a layer of insulation 2.5 cm thick whose thermal conductivity is 1.8 W/(m.K), and the temperature of the wall on the inside of the insulation is 320 degrees C. The wall loses heat to the environment by convection. Compute the value of the convection heat transfer coefficient that must be maintained on the outer surface of the insulation to ensure that the...
A 12 meter long and 12 mm inner diameter smooth pipe is used to heat a...
A 12 meter long and 12 mm inner diameter smooth pipe is used to heat a liquid in an industrial process. The liquid enters the pipe at a temperature of 25o C and a mean velocity of 0.80 m/s. A uniform heat flux is maintained by an electric resistance heater wrapped around the outer surface of the pipe so that the fluid exits at 75o C. The fluid average properties are ? = 1000 kg/m3 , Cp = 4000 J/kg·K,...
A house with 200-m2 floor space is heated with geothermal water flowing through pipes laid in...
A house with 200-m2 floor space is heated with geothermal water flowing through pipes laid in the ground under the floor. The walls of the house are 4 m high, and there are 8 single-paned windows in the house that are 1.2 m wide and 1.8 m high. The house has R-4 insulation (where R= 1/U is the overall unit thermal resistance(the R-value) and U is the overall heat transfer coefficient) in the walls and R-5 on the ceiling. The...
A long cylinder 11 cm in diameter is initially at a uniform temperature of 427 C...
A long cylinder 11 cm in diameter is initially at a uniform temperature of 427 C and has a density of 7250 kg/m3, thermal conductivity of  16.7 W/m-K, and a specific heat of 540 J/kg-K. The cylinder is suddenly plunged into water with a temperature of 27 C, giving a convective heat transfer coefficient of 380 W/m2-K. a) Determine the surface and centerline temperatures of the cylinder 12 minutes after immersion. b) Calculate the heat transferred from the cylinder during this...
a. Discuss why car inside temperature is high when you park the car outside in a...
a. Discuss why car inside temperature is high when you park the car outside in a sunny day even under the shade and the relation with glass transmissivity (Greenhouse effect). [5 marks] b. A double walled spherical tank is used to store iced water at O'C. The tank internal diameter is 2 m and wall thickness is 0.5 cm. The inner and outer walls are separated with the 2 cm thick space. The air between the two walls of the...
A long 8-cm-diameter steam pipe whose external surface temperature is 90°C passes through some open area...
A long 8-cm-diameter steam pipe whose external surface temperature is 90°C passes through some open area that is not protected against the winds. Determine the rate of heat loss from the pipe per unit of its length when the air is at 1 atm pressure and 7°C and the wind is blowing across the pipe at a velocity of 47 km/h. The properties of air at 1 atm and the film temperature of (Ts + T∞)/2 = (90 + 7)/2...
Temperatures of gases inside the combustion chamber of a four-stroke automobile engine can reach up to...
Temperatures of gases inside the combustion chamber of a four-stroke automobile engine can reach up to 1000°C. To remove this enormous amount of heat, the engine utilizes a closed liquid-cooled system which relies on conduction to transfer heat from the engine block into the liquid and then into the atmosphere by flowing coolant around the outside surface of each cylinder. Assume you have a 6-cylinder engine, and each cylinder has a diameter of 9.00 cm and height of 11.6 cm...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT