Q5) Consider the heat transfer through an extended surface (a fin). Find temperature distributions T(x)? To The temperature of the body (Tb), the temperature of the ambient fluid (Too); the length(L), width, and thickness of the fin(t); the thermal conductivity (k) of the fin material; and convection heat transfer coefficient(h). The boundary conditions T(x=0) Tb and q(x=L-1)=0 dT/dx=0 Ax=h=0.25 The governing equation - m² (T-T ) = 0 d²T dx²

Q5) Consider the heat transfer through an extended surface (a fin). Find temperature distributions T(x)? To The temperature of the body (Tb), the temperature of the ambient fluid (Too); the length(L), width, and thickness of the fin(t); the thermal conductivity (k) of the fin material; and convection heat transfer coefficient(h). The boundary conditions T(x=0) Tb and q(x=L-1)=0 dT/dx=0 Ax=h=0.25 The governing equation - m² (T-T ) = 0 d²T dx²

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: A food product to be produced in the form of a small round (pellet) by the way frozen in the freezer…

A: Temperature of air freezer(Ta) =-30°C initial temperature of product =25°Cdiameter of…

Q: A wall without heat generation is 0.5 m thick and is maintained on one side at T = 30°C, while the…

A: Data given- t= 0.5 m T1= 30°C q= 1200 W/m2

Q: H +x L→∞0 B The temperature at the base is 498 K, and the temperature of the surrounding fluid is…

Q: 8. Consider an iron bar, of diameter 4cm and length 1m, with specific heat c = 0.437J/(g K), density…

A: The diameter of bar is d=4 cm. The length of the bar is L=1 m. The specific heat of bar is Cp=0.437…

Q: A very long, rectangular cross-section block is made from metal with the following properties:…

A: Given Data: Thermal Conductivity k = 130 W/mK Density ρ=2771 kg/m3 Specific heat cp=703 J/kgK…

Q: Consider a composite wall made up of three separate walls and convective boundary conditions on each…

A: Given data as per question Area = 6 m2 , T∞1 = 450 ̊C T∞2 = 25 ̊C h1 = 40 W/mk h2 = 200 W/mk k1 =…

Q: An annulus (e.g., a tube) has a temperature of Ti at the inner surface (at ri) and a temperature of…

Q: 1. COMBINED CONDUCTION CONVECTION ON CYLINDRICAL WALL A hot-water pipe (k = 60 W/m K) in a house,…

Q: 4.8 Develop the control volume difference equation for one-dimensional steady conduction in a fin…

Q: Pls handwrite

Q: Q2/ A thermopane window consists of two pieces of glass 7 mm thick that enelose an air space 7 mm…

A: T∞i=20°C, hi=10 Wm2KL=L1=L2=L3=.007 mA=.8×.5=.4 m2Kg=1.4 WmK and Kair=.0245 Wm Kh0=80 Wm2K,T∞0=-10°C…

Q: A 0.1 m diameter long rod at 20 °C is to be heated by a hot fluid of 200 °C. How long does it take…

A: The thermal diffusivity is given by - α=KρC , whereK is conductivity, ρ is density and C is specific…

Q: (a) Consider nodal configuration shown below. (a) Derive the finite-difference equations under…

Q: 1. Consider a continental crust with an upper layer of thickness H, and a constant heat generation…

Q: Q.32 Computer memory chips are mounted on a finned metallic mount to protect them from overheating.…

Q: A large 100-mm thick steel plate is initially at uniform temperature T = 180°C at time t = 0. Both…

Q: Steel pipe 1 cm thick, 1.0 m long and 8 cm deep, quiet with 4 cm thick insulation. The inner wall…

A: Given data: For steel pipe, outer diameter, do=8 cm ⇒Outer radius, ro=4 cm. Thickness of steel pipe…

Q: A piece of beef steak 7 cm thick will be frozen in the freezer room -40 ° C. the product has a…

A: Given, Thickness = d = 7 cm = 0.07 m Freezer room temperature = T∞ = -40 °C = 233 K Density = ρ =…

Q: The heat transfer from the fin of the figure will be calculated using the adiabatic tip with…

A: The fin is made of carbon steel The value are

Q: Steel pipe 3 cm thick, 1.0 m long and 10 cm deep, quiet with 6 cm thick insulation. The inner wall…

Q: Steel pipe 5 cm thick, 1.0 m long and 12 cm deep, covered with 8 cm thick insulation. The wall…

Q: A product food with a moisture content of 80% in canned diameter 5 cm want to be frozen. Density…

A: Given: d=5 cmρ=1000 kg/m3k=1.0 W/mKT0=-1.75 °Ct=10 hrsT∞=-25°CT=-10°C

Q: A solid cylinder of radius R and length L is made from material with thermal conductivity 2. Heat is…

A: The heat transfer rate along the axis negligible. Thus, the heat transfer is along radial direction…

Question

Q5) Consider the heat transfer through an extended surface (a fin). Find
temperature distributions T(x)?
Ть
d²T
dx²
X
L
The temperature of the body(Tb), the temperature of the ambient fluid (Too); the
length (L), width, and thickness of the fin(t); the thermal conductivity (k) of the
fin material; and convection heat transfer coefficient(h). The boundary
conditions
T(x=0)= Tb and q(x=L=1)=0 dT/dx=0 Ax=h=0.25
-
The governing equation m² (T-T) = 0
T

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Objective

VIEW

Step 2: Temperature Distribution in an Extended Surface (Fin)

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Fick’s Law of Diffusion and Mass Transfer

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Only find roof. no previous attempts
EXAMPLE 1| Aspherical container of inner radius r1 =2 m, outer radius 2= 2.1 m, ‘and thermal conductivity k=30 Wim - °C is illed with iced water at 0°C e container is gaining heat by convection from the surrounding air at 7 = 25°C with a heat transfer coeflicient of h = 18 W/m2 - °C. Assuming the inner surface temperature of the container to be 0°C, ) express the differential equation and the houndary conditions for steady one-dimensional heat conduction through the container ) obtain a relation for the variation of temperature in the cantainer by solving the differential equation €) evaluate the rate of heat gain 10 the iced water.
T1=68 T2=43 Q3:
A wooden sphere of diameter 5 cm is initially at a uniform temperature of 21 °C. Its surfacetemperature is suddenly raised to 83 °C. The thermal conductivity and thermal diffusivity ofthe wood are 0.15 W/m K and 0.82 x 10-7 m^2/s, respectively. a) Calculate the temperature 2 cm beneath the surface of the sphere 30 min after the sudden increase in temperature.b) Calculate the energy gained by the sphere during this time.
no previous attempt please
Q5B) A steel pipe of 170 mm inner diameter and 190 mm outer diameter with thermal conductivity 55 W/m. K is covered with two layers of insulation. The thickness of first layer is 25 mm (k = 0.1 W/m. K) and second layer thickness is 40 mm (k = 0.18 W/m.K). The temperature of steam and inner surface of steam pipe is 320 °C and outer surface of insulation is 80 °C. Ambient air temperature is 25 °C. The surface coefficient for inside and outside surfaces are 230 W/m². K and 6 W/m². K respectively. Determine the heat loss per meter length of steam pipe and layer of contact temperatures and also calculate overall heat transfer coefficient.
only find top
2. The slab shown is embedded in insulating materials on five sides, while the front face experiences convection off its face. Heat is generated inside the material by an exothermic reaction equal to 1.0 kW/m'. The thermal conductivity of the slab is 0.2 W/mk. a. Simplify the heat conduction equation and integrate the resulting ID steady form of to find the temperature distribution of the slab, T(x). b. Present the temperature of the front and back faces of the slab. n-20- 10 cm IT- 25°C) 100 cm 100 cm