Question

Consider steady state heat loss through a straight long fin with temperature of the fin base...

Consider steady state heat loss through a straight long fin with temperature of the fin base and the surrounding fluid and Tb and Tf respectively. Assume the heat loss from the end face of to be negligible. Derive the governing equation for the problem.

Homework Answers

Answer #1

For derivation the surrounding temperature is considered as instead of Tb

Know the answer?
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
Similar Questions
It's a heat transfer question. A stainless steel fin with a constant base temperature (900K) and...
It's a heat transfer question. A stainless steel fin with a constant base temperature (900K) and with an insulated end. Apply convection at all cylindrical surfaces except the base and the tip. The convection coefficient, h = 50 W/(m2·K), and fluid temperature of T∞ = 300K. Plot the temperature distribution along the center axis line (T vs x). Include a contour plot across the cross section of the fin. Assume zero contact resistance between the sections. K=19.8W/m-k Cp=557J/Kg-K Rho= 7900Kg/m^3...
Once the temperature in an object reaches a steady state, the heat equation becomes the Laplace...
Once the temperature in an object reaches a steady state, the heat equation becomes the Laplace equation. Use separation of variables to derive the steady-state solution to the heat equation on the rectangle R = [0, 1] × [0, 1] with the following Dirichlet boundary conditions: u = 0 on the left and right sides; u = f(x) on the bottom; u = g(x) on the top. That is, solve uxx + uyy = 0 subject to u(0, y) =...
QUESTION 4 When there is heat transfer from the lateral side of an infinitely long cylinder...
QUESTION 4 When there is heat transfer from the lateral side of an infinitely long cylinder of radius a into a surrounding medium, the temperature inside the cylinder depends upon the time t and the distance r from its longitudinal axis (i.e. the axis through the centre and parallel to the lateral side.) a. Write down the partial differential equation that models this problem. b. Suppose that the surrounding medium is at temperature zero and the initial temperature is constant...
A cylindrical rod of length L extents from a base wall of constant temperature To. Inside...
A cylindrical rod of length L extents from a base wall of constant temperature To. Inside the rod heat is produced due to electrical dissipation at a constant volumetric rate of So. Tip of the fin is insulated. Ambient temperature is Ta and heat transfer coefficient h between rod and surroundings may be assumed constant. Calculate steady state temperature profile in the rod and rate of heat loss to the surroundings.
Consider the BVP or the steady-state temperature u(x,y,z) in the airspace between two infinite (in the...
Consider the BVP or the steady-state temperature u(x,y,z) in the airspace between two infinite (in the y and z directions) stone walls that are perpendicular to the x-axis, and are 5 centimeters apart from each other (ie the wall surfaces in contact with the air space are 5 cm. apart), with the first (or left) wall located at x=-1 cm. and the second (or right) wall at x= 4 cm, where ux = -10, and u=100, respectively. Temperature is measure...
The best football club in the world (Juventus F. C.) have hired you to develop a...
The best football club in the world (Juventus F. C.) have hired you to develop a turf heat exchanger system for their practice ground in Vinovo (outside Turin, Italy). The premise of this new turf is that you can control the surface properties (firm or soft) by controlling its temperature and will enable their team to practice in the most diverse conditions. You design a heat exchanger system that uses coolant pipes below the turf, through which you will circulate...
A concentric tube heat exchanger is comprised of a stainless steel (ks = 40 W/mK) inner...
A concentric tube heat exchanger is comprised of a stainless steel (ks = 40 W/mK) inner pipe, NPS 2- nominal schedule 40 size (corresponding to an inner diameter of 52.5 mm and an outer diameter of 60.3 mm), and an outer stainless steel pipe of NPS 3-nominal schedule 40 (ID = 77.9 mm, OD = 88.9 mm). The heat exchanger has an effective length of 35 m. The inner pipe fluid is ammonia (?a = 0.3 · 10?6 m2/s, cpa...
A concentric tube heat exchanger is comprised of a stainless steel (ks = 40 W/mK) inner...
A concentric tube heat exchanger is comprised of a stainless steel (ks = 40 W/mK) inner pipe, NPS 2- nominal schedule 40 size (corresponding to an inner diameter of 52.5 mm and an outer diameter of 60.3 mm), and an outer stainless steel pipe of NPS 3-nominal schedule 40 (ID = 77.9 mm, OD = 88.9 mm). The heat exchanger has an effective length of 35 m. The inner pipe fluid is ammonia (va = 0.3 · 10-6m2/s, cpa =...
A heat-conducting rod, 0.90 m long and wrapped in insulation, is made of an aluminum section...
A heat-conducting rod, 0.90 m long and wrapped in insulation, is made of an aluminum section that is 0.20 m long and a copper section that is .70m long. Both sections have a cross-sectional area of .000040m2. The aluminum end and the copper end are maintained at temperatures of 30 degrees C and 230 degrees C respectively. The thermal conductivities of aluminum and copper are 205 W/m ∙ K (aluminum) and 385 W/m ∙ K (copper). What is the temperature...
Consider the electrical heater of Problem 7.49. If the blower were to malfunction, terminating airflow while...
Consider the electrical heater of Problem 7.49. If the blower were to malfunction, terminating airflow while the heater continued to operate at 1000 W/m, what tem- perature would the heater assume? How long would it take to come within 10 C of this temperature? Allow for radiation exchange between the heater ( 0.8) and the duct walls, which are also at 27 C. 7.49) Along,cylindrical,electricalheatingelementofdiameter D 10 mm, thermal conductivity k 240 W/m K, den- sity 2700 kg/m3, and specific...