Starting from an appropriate energy balance, derive the temperature distribution in a fin of uniform cross-sectional...
Starting from an appropriate energy balance, derive the temperature distribution in a fin of uniform cross-sectional area and subject to an insulated tip condition (case B of table 3.4) Also, derive the expression for the fin heat transfer rate.
Homework Answers
Add Answer to:
Starting from an appropriate energy balance, derive the
temperature distribution in a fin of uniform cross-sectional...
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,...
G4 Problem Statement: Circular fins of uniform cross section, with diameter of 14 mm and length 7...
G4 Problem Statement: Circular fins of uniform cross section, with diameter of 14 mm and length 70 mm are attached to the wall with surface temperature o C. The fin is made of material with thermal conductivity of 210 W/mk, and exposed to an ambient air condition of 24 °C and the convection heat transfer coefficient of 190 W/m2k. f 300 1- Plot the temperature variation for the following boundary conditions a- Infinitely long fin b- Adiabatic fin tip c-...
QUESTION 4 The temperature distribution for a long fin with uniform cross section is cosh[m(L -...
QUESTION 4 The temperature distribution for a long fin with uniform cross section is cosh[m(L - x)] cosh(ml) where b means base, O = T - To, m= rand A and P are the area and perimeter of the cross- section. K is in air at A long copper rod of diameter D = 1.5 cm, L = 20 cm, and thermal conductivity 380 W/ m 20°C. The temperature at the base is 150°C. If m = 6 m-7, the...
please show derivation of the nodal equations and how to create the graphs. A straight fin...
please show derivation of the nodal equations and how to create
the graphs.
A straight fin of uniform cross section is fabricated from a material of thermal conductivity 50 W/m*K, thickness w 6mm, and length L-48mm, and is very long in the direction normal to the page. The convection heat transfer coefficient is 500 W/m2 *K with the ambient air temperature of T-30C. The base of the fin is maintained at Tb = 100C, while the fin tip is will...
Considering the cooling process of a circular fin by means of convective heat transfer along its...
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 hot reservoir with a temperature of 687 K is 0.58 m away from a cold...
A hot reservoir with a temperature of 687 K is 0.58 m away from a cold reservoir with a temperature of 358 K. The two reservoirs are insulated from each other except for a rod of brass (k = 109 W/m-K) that has a cross-sectional area of 0.058 m2. The entire system is allowed to reach a steady-state condition. 1) How much energy is transferred by heat between the hot reservoir and the cold reservoir in ten minutes? J Submit...
A hot reservoir with a temperature of 687 K is 0.58 m away from a cold...
A hot reservoir with a temperature of 687 K is 0.58 m away from a cold reservoir with a temperature of 358 K. The two reservoirs are insulated from each other except for a rod of brass (k = 109 W/m-K) that has a cross-sectional area of 0.058 m2. The entire system is allowed to reach a steady-state condition. 1) How much energy is transferred by heat between the hot reservoir and the cold reservoir in ten minutes? J Submit...
Derive each temperature distribution for each tip condition from the general equastion theta(x)=C1e^mx + C2e^-mx usinf...
Derive each temperature distribution for each tip condition
from the general equastion
theta(x)=C1e^mx + C2e^-mx usinf boundry condition show all
work for each tip condition
Tip Condition (r = L Temperature Distribution 0/0, Convection heat transfer: ho(L) = -kdo/dx=L cosh m(L - x) + (h/mk) sinh m(L - x) cosh mL + (h/mk) sinh mL Adiabatic: do/dx = = 0 cosh m(L – x) cosh mL Prescribed temperature: 8(L) = 0 (04/06) sinh mx + sinh m(L - x) sinh...
The heat that is conducted through a body must frequently be removed by other heat transfer...
The heat that is conducted through a body must frequently be removed by other heat transfer processes. For example, the heat generated in an electronic device must be dissipated to the surroundings through convection by means of fins. Consider the one-dimensional aluminum fin (thickness t 3.0 mm, width 20 cm, length L) shown in Figure 1, that is exposed to a surrounding fluid at a temperature T. The conductivity of the aluminum fin (k) and coefficient of heat convection of...
Part 2 - Problems (75 marks) I. Copper fins (k 401 W/mK) of uniform square cross-section...
Part 2 - Problems (75 marks) I. Copper fins (k 401 W/mK) of uniform square cross-section (2mm x 2mm) and length L 30mm are used in a fin array to enhance heat transfer from a 40mm x 40mm surface that is maintained at Tb 170°C. There are a total of 100 fins, and the tip of the fins is maintained at 35°C. Air circulates over the fin array with a temperature of To = 15°C and a convection coefficient of...
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,...
G4 Problem Statement: Circular fins of uniform cross section, with diameter of 14 mm and length 70 mm are attached to the wall with surface temperature o C. The fin is made of material with thermal conductivity of 210 W/mk, and exposed to an ambient air condition of 24 °C and the convection heat transfer coefficient of 190 W/m2k. f 300 1- Plot the temperature variation for the following boundary conditions a- Infinitely long fin b- Adiabatic fin tip c-...
QUESTION 4 The temperature distribution for a long fin with uniform cross section is cosh[m(L - x)] cosh(ml) where b means base, O = T - To, m= rand A and P are the area and perimeter of the cross- section. K is in air at A long copper rod of diameter D = 1.5 cm, L = 20 cm, and thermal conductivity 380 W/ m 20°C. The temperature at the base is 150°C. If m = 6 m-7, the...
please show derivation of the nodal equations and how to create
the graphs.
A straight fin of uniform cross section is fabricated from a material of thermal conductivity 50 W/m*K, thickness w 6mm, and length L-48mm, and is very long in the direction normal to the page. The convection heat transfer coefficient is 500 W/m2 *K with the ambient air temperature of T-30C. The base of the fin is maintained at Tb = 100C, while the fin tip is will...
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,...
Derive each temperature distribution for each tip condition
from the general equastion
theta(x)=C1e^mx + C2e^-mx usinf boundry condition show all
work for each tip condition
Tip Condition (r = L Temperature Distribution 0/0, Convection heat transfer: ho(L) = -kdo/dx=L cosh m(L - x) + (h/mk) sinh m(L - x) cosh mL + (h/mk) sinh mL Adiabatic: do/dx = = 0 cosh m(L – x) cosh mL Prescribed temperature: 8(L) = 0 (04/06) sinh mx + sinh m(L - x) sinh...
The heat that is conducted through a body must frequently be removed by other heat transfer processes. For example, the heat generated in an electronic device must be dissipated to the surroundings through convection by means of fins. Consider the one-dimensional aluminum fin (thickness t 3.0 mm, width 20 cm, length L) shown in Figure 1, that is exposed to a surrounding fluid at a temperature T. The conductivity of the aluminum fin (k) and coefficient of heat convection of...
Part 2 - Problems (75 marks) I. Copper fins (k 401 W/mK) of uniform square cross-section (2mm x 2mm) and length L 30mm are used in a fin array to enhance heat transfer from a 40mm x 40mm surface that is maintained at Tb 170°C. There are a total of 100 fins, and the tip of the fins is maintained at 35°C. Air circulates over the fin array with a temperature of To = 15°C and a convection coefficient of...
Most questions answered within 3 hours.
-
A shot-putter throws the shot with a horizontal velocity of 10
m/s and a
vertical velocity...
asked 8 minutes ago -
Mildred sells industrial-sized refrigeration units. Her
prospective buyer's face looks tense, and his forehead is wrinkled....
asked 9 minutes ago -
Clark Heter is an industrial engineer at Lyons Products. He
would like to determine whether there...
asked 1 hour ago -
3. Use a text editor to create a comma-delimited file of user
IDs and passwords. Revise...
asked 52 minutes ago -
Jensen and Associates has a projected balance
sheet that includes the following accounts. What is the...
asked 24 minutes ago -
implement a doubly-linked list in C. Each node in the linked list should contain a string,...
asked 47 minutes ago -
What are some best practices and things to avoid when developing
a PowerPoint presentation or file
asked 50 minutes ago -
Consider the ways that the government can get involved in
economic issues. What role do you...
asked 25 minutes ago -
Sodium carbonate is added to the tea mixture, in part, to form
the sodium salt of...
asked 48 minutes ago -
he plant started to purify its wastewater before discharging it
into the lake. How long will...
asked 1 hour ago -
Thiazyl fluoride, F3NS is a colourless gas. Using concepts of
electronegativity, formal charge etc. determine the...
asked 1 hour ago -
1. Why is an explicit inflation target a bad policy?
2. MV=PQ If M grows, then...
asked 43 minutes ago