The temperature distribution across a wall 0.3 m thick at a certain instant of time is T(x) = a+ b+cx?, where T isin degrees Celsius and x is in meters, a = 200°C,b = -200°, and c =conductivity of 1 W /m · K.30°C/m² . The wall has a thermal(a) On a unit surface area basis, determine the rate of heat transfer into and out of the wall and the rate of change ofenergy stored by the wall.(b) If the cold surface is exposed to a fluid at 100°C, what is the convection coefficient?k=1W/m•kT(x) =200-200x + 30x²200°C-ĖST142.7°Cq"out| FluidToo = 100°C,h9"in|L-0.3m

From Fourier's Law q =-kdTdxx=0=-1d200-200x+30x2dxx=0=200-60*0= 200 W/m2

Answered: a) On a unit surface area basis,…

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

Similar questions

I need complete solutions and 4 decimal places
If the surface of a plane wall with heat conduction coefficient k is under constant heat flux (q0 ") condition at x = 0 and its surface at x = L is at temperature Ts, which of the following is the temperature distribution of this plane wall?
A box full of electronics with the dimensions shown in the diagram is buried deep in soil. The electronics keep the box at a constant temperature of 300K. Is the surrounding soil is at a temperature of 265K and has a thermal conductivity of 0.52 W/m/K, what is the heat transfer rate between the box and soil? 0.75m 0.75m 1.5m
There is a 1.20-cm-thick stagnant air pocket. A) What thickness of cork would have the same R-factor as the stagnant air pocket? The thermal conductivity of air is 0.0230 W/m·K and of cork is 0.0460 W/m·K. in cm B) What thickness of tin would be required for the same R-factor as a 1.20-cm-thick stagnant air pocket? The thermal conductivity of air is 0.0230 W/m·K and of tin is 66.8 W/m·K . in m
4. A wall of thickness 10cm conducts heat at rate of 30W/m² when the temperature difference across wall is 10K. What is thermal conductivity (W/mK)
I need the answer as soon as possible
An isolating wall (made up of 2-10mm thick plywood with 5mm woven silica sheet in between) encloses a steam-room to prevent the outside area from having the same temperature as the inside of the room. If the total area of the wall is 100 sq.m. and coefficient of thermal conductivity (k) for plywood and silica sheets are 0.12 and 0.015 W/mK respecțively, what is the rate of heat transfer if the inside temperature is 800 °C while the outside is 42°C? answer must be in Watts * Your answer
1. Judging from its unit W/m.K can we define thermal conductivity of a material as the rate of heat transfer through the material per unit thickness per unit temperature difference? Explain. 2.How does heat conduction differ from convection? 3. Does any of the energy of the sun reascht the earth by conduction or convection?
The compartment below is used as a freezer of refrigerator compartment. Inner wall is at -8 C and outer wall is at 27 C. Insulator is used to prevent the heat losses from the compartment. The shape is in square form with a side of 1.1 m and unit width into the page. Determine the conductivity of the insulator if the compartment heat load is 250 W? Take the thickness of the insulator as 1.5 cm* *inner wall outer wall insulating material 0.045 W/(mk) 0.035 W/(mK) 0.097 W/(mk) none 0.024 W/(mK)
Fluid fluid with a temperature of -20C passes through a copper cylindrical wire. The outer diameter of the wire is 10 mm. The wire is in contact with air at a temperature of 25C, which is h = 50 W / m2K. The heat conduction coefficient of the wire is k = 0.5 W / mK. It will be applied in different thicknesses. a) Calculation separately for the resulting heat transfer per m when 0, 2.5, 5 and 7.5 m are applied. b) To interpret which thickness will increase the heat transfer by calculating the critical diameter. c) Graph the insulation and heat transfer rate against each other.
Window height (0.8 m) and width (1.5 m) consisting of two layers of glass (k = 0.78 W/m C) thickness of each layer (4mm) and separated by an air layer thickness of (10 mm) if the coefficient of thermal conductivity of static air is (k=0.026 W/mC)Calculate the rate of heat transfer through the window. If the temperature of the inside of the window is (15 C°) and the temperature of the outer surface is (8C)
The surface of a furnace wall is at a temperature of 1200°C. The outside wall temperature is 38°C. The furnace wall construction has 15 Cm of refractory material,), k = 1.73 W/m-K., and the outside wall is 1-cm steel, k = 44 W/m-K. What thickness of refractory brick must be used between the refractory material and the wall if the heat loss is not to exceed 0.7 kW/m2? The thermal conductivity of the brick is 0.34 W/m-K.

SEE MORE QUESTIONS

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS

a) On a unit surface area basis, determine the rate of heat transfer into and out of the wall and the rate of change of energy stored by the wall. b) If the cold surface is exposed to a fluid at 100°C, what is the convection coefficient?