Consider a 1-D steady state heat conduction in a composite wall made up of two different materials A (k = 45 W/m K) and B (k = 28 W/m K). There is a W/m.K). heating element passing through the material A that causes uniform heat generation at a rate of 70,000 W/m³. The total thickness of the wall is 20 cm with equal thickness of material A and material B. Using a uniform nodal spacing of 2.5 cm, (a) obtain a finite difference formulation for the case of constant uniform heat flux of 4500 W/m² at the wall inner (left) surface while the outer (right) surface is exposed to combined radiation (ε = 0.9) and convection boundary condition (h = 70 W/m²K). Assume the surrounding temperature equal to that of the ambient temperature at 10°C and determine (b) the temperature distribution across the wall thickness using boundary conditions in part (a) (5th Ed, prob. 5.35).
Consider a 1-D steady state heat conduction in a composite wall made up of two different materials A (k = 45 W/m K) and B (k = 28 W/m K). There is a W/m.K). heating element passing through the material A that causes uniform heat generation at a rate of 70,000 W/m³. The total thickness of the wall is 20 cm with equal thickness of material A and material B. Using a uniform nodal spacing of 2.5 cm, (a) obtain a finite difference formulation for the case of constant uniform heat flux of 4500 W/m² at the wall inner (left) surface while the outer (right) surface is exposed to combined radiation (ε = 0.9) and convection boundary condition (h = 70 W/m²K). Assume the surrounding temperature equal to that of the ambient temperature at 10°C and determine (b) the temperature distribution across the wall thickness using boundary conditions in part (a) (5th Ed, prob. 5.35).
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.17P: 3.17 A 1.4-kg aluminum household iron has a 500-W heating element. The surface area is . The ambient...
Related questions
Question

Transcribed Image Text:Consider a 1-D steady state heat conduction in a composite wall made up of
two different materials A (k = 45 W/m K) and B (k = 28 W/m K). There is a
W/m.K).
heating element passing through the material A that causes uniform heat
generation at a rate of 70,000 W/m³. The total thickness of the wall is 20
cm with equal thickness of material A and material B. Using a uniform nodal
spacing of 2.5 cm, (a) obtain a finite difference formulation for the case
of constant uniform heat flux of 4500 W/m² at the wall inner (left) surface
while the outer (right) surface is exposed to combined radiation (ε = 0.9)
and convection boundary condition (h = 70 W/m²K). Assume the surrounding
temperature equal to that of the ambient temperature at 10°C and determine
(b) the temperature distribution across the wall thickness using boundary
conditions in part (a) (5th Ed, prob. 5.35).
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 4 images

Recommended textbooks for you

Principles of Heat Transfer (Activate Learning wi…
Mechanical Engineering
ISBN:
9781305387102
Author:
Kreith, Frank; Manglik, Raj M.
Publisher:
Cengage Learning

Principles of Heat Transfer (Activate Learning wi…
Mechanical Engineering
ISBN:
9781305387102
Author:
Kreith, Frank; Manglik, Raj M.
Publisher:
Cengage Learning