Question

Considering the cooling process of a circular fin by means of convective heat transfer along its length (see figure below), governed by:

d dT where a is a parameter and T is the ambient temperature. The fin has a uniform temperature at the cross-sectional area (in the radial direction). The base (left side) of the fin is at a constant temperature TB of 120° and the top (right side) of the fine is fully insulated. Data: L = 1.0 m, a = 20, Tx-25。 Divide the fin into 5 equally spaced cells and use FVM to calculate the temperature distribution of the fin. Your report should include .A schematic drawing of FVM discretisation of the system A general algebraic equation converted from the governing equation A set of equations expressing the temperature T of 5 cells The final values of T at individual cells . . Insulated (zero heat flux across this boundary,) TB Tambient

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Considering the cooling process of a circular fin by means of convective heat transfer along its...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Cooling fins are used to increase the area available for heat transfer between metal walls and...

    Cooling fins are used to increase the area available for heat transfer between metal walls and poorly conducting fluids such as gases. A rectangular fin is shown in the following figure. To design a cooling fin and calculate the fin efficiency one must first calculate the temperature profile in the fin. If L>>B, no heat is lost from the end or from the edges, and the heat flux at the surface is given by: in which the convective heat transfer...

  • A circular (annular) fin of radius r2 is attached to a pipe of radius 11. The...

    A circular (annular) fin of radius r2 is attached to a pipe of radius 11. The fin is exposed to an ambient fluid at temperature T. having heat transfer coefficient h and the fin base is maintained at temperature Tb. The fin thickness (t) is small compared to the fin length and the heat loss from the fin tip can be considered negligible compared with that from the top and bottom surfaces of the fin. Derive the differential equation and...

  • 3.36 A straight rectangular fin of leneth L, thickness t and width W The upper surface...

    3.36 A straight rectangular fin of leneth L, thickness t and width W The upper surface being heated at a uniform flux q0.The heat transfer coefficient at the upper surface is hu and that of the lower surface is h. The ambient fluid teperature qo is To. At the base the heat transfer rate is o The two side surfaces and the tip are t insulated. Formulate the fin conduction equation and write the boundary conditions.

  • Use the integral method for boundary layer flow and convective heat transfer over a flat plate he...

    Use the integral method for boundary layer flow and convective heat transfer over a flat plate heated by maintaining a constant heat flux q"w, for the case of very low Prandtl number, Pr0. Assume that the free stream velocity of the fluid, U, and free stream temperature, T-do not vary with x. Using the integral form of energy equation, show that under these conditions: (a) the temperature profile, (T- T) is given by, 41 2 CT-T oa (b) the wall...

  • heat transfer Consider a long solid rod of constant thermal conductivity k whose cross section is...

    heat transfer Consider a long solid rod of constant thermal conductivity k whose cross section is a sector of a circle of radius ro and the angle a as shown in the figure. A peripheral heat flux 9":falls onto the peripheral surface. The plane surface at - O is kept isothermal at the ambient temperature T.. The other plane surface at = a loses heat by convection to the ambient. The steady temperature distribution is a function of r and...

  • Problem 3: Ordinary Differential Equations A straight fin of uniform rectangular cross section (0.5 mm x...

    Problem 3: Ordinary Differential Equations A straight fin of uniform rectangular cross section (0.5 mm x 100 mm) with a length (L) of 5 cm is attached to a base surface of temperature 110°C (T). The surface of the fin is exposed to a cooling fluid at 20°C (T) with a convection heat transfer coefficient (h) of 15 W/(m²K). The conductivity (k) of the fin material is 400 W/(m.K). (a) Plot the temperature profile along the length of the fin,...

  • please show all steps! A heat-transfer experiment in CBE 154 investigates conductive heat transport within a...

    please show all steps! A heat-transfer experiment in CBE 154 investigates conductive heat transport within a solid and convective heat transport at a solid gas interface. In this homework problem, you are to write the differential equations describing the experimental setup (but not solve them). The first part of the experiment involves measurement of a steady-state temperature profile along a brass rod to determine the conductivity of brass and the rate of heat loss through the insulation to the surrounding...

  • summatize the following info and break them into differeng key points. write them in yojr own...

    summatize the following info and break them into differeng key points. write them in yojr own words   apartus 6.1 Introduction—The design of a successful hot box appa- ratus is influenced by many factors. Before beginning the design of an apparatus meeting this standard, the designer shall review the discussion on the limitations and accuracy, Section 13, discussions of the energy flows in a hot box, Annex A2, the metering box wall loss flow, Annex A3, and flanking loss, Annex...

  • summarizr the followung info and write them in your own words and break them into different...

    summarizr the followung info and write them in your own words and break them into different key points.   6.5 Metering Chamber: 6.5.1 The minimum size of the metering box is governed by the metering area required to obtain a representative test area for the specimen (see 7.2) and for maintenance of reasonable test accuracy. For example, for specimens incorporating air spaces or stud spaces, the metering area shall span an integral number of spaces (see 5.5). The depth of...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT