Question

Find the solution of the heat conduction problem and provide a detailed graph showing the initial, intermediate and final tem

0 0
Add a comment Improve this question Transcribed image text
Answer #1

ㄩㄨㄨ X c c be general so (dhem a-t Diidieg by AT tovough ouve have -22t ㄒ Henee 0 し)spng gbundaty ond.hoワ LIx.lo tla uhldit)sHence C Average (so onT-o) 븅2 Lx.sinen~ハ-/Sinnn_ 4n e 2ns at)C3 cos nn using inite condlihon u ) ) n:o heo n万 An An n ever 4-ttenee n E even o steady state temperature cd Inihal temperature dishibuhen (t-o)) (-0.5,0)ソー( 0.5, 0 0.5 0.5

Hope it helps you out.

In case any doubt please feel free to ask.

I will be happy to help you.

Thanks!!

Note: Next problem is exactly same accept k=2 in expression Ut =kUxx.and can be easily solved .

Add a comment
Know the answer?
Add Answer to:
Find the solution of the heat conduction problem and provide a detailed graph showing the initial...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 7. Find the solution of the heat conduction problem 100uzz = ut, 0 < x <...

    7. Find the solution of the heat conduction problem 100uzz = ut, 0 < x < 1, t > 0; u(0,t) 0, u1,t 0, t>0; In Problem 10, consider the conduction of heat in a rod 40 cm in length whose ends are maintained at 0°C for all t0. Find an expression for the temperature u(,t) if the initial temperature distribution in the rod is the given function. Suppose that a

  • Find the steady-state solution of the heat conduction equation α2uxx-ut that satisfies the given ...

    Write out the solution please Find the steady-state solution of the heat conduction equation α2uxx-ut that satisfies the given set of boundary conditions. ux(0, t)-u(0, t) = 0, u(L, t)-T v(x) = Find the steady-state solution of the heat conduction equation α2uxx-ut that satisfies the given set of boundary conditions. ux(0, t)-u(0, t) = 0, u(L, t)-T v(x) =

  • Q2 Given the following heat conduction initial-boundary value problem of a thin homogeneous rod, where u(x,t)...

    Q2 Given the following heat conduction initial-boundary value problem of a thin homogeneous rod, where u(x,t) represents the temperature. 9uxx = ut; 0<x< 6; t> 0; B.C.: Ux(0,t) = 0; Ux(6,t) = 0; t> 0; 1.C.: u(x,0) = 12 + Scos (x) – 4cos(21x); 0 < x < 6 (a) When t = 0, what would be the temperature at x = 3? (Use the initial condition.) (3 marks) (b) Determine whether the boundary conditions in this case is Dirichlet,...

  • Q2 Given the following heat conduction initial-boundary value problem of a thin homogeneous rod, where u(x,...

    Q2 Given the following heat conduction initial-boundary value problem of a thin homogeneous rod, where u(x, t) represents the temperature. 9uxx = Ut; 0<x< 6; t> 0; B.C. : Ux(0,t) = 0; Ux(6,t) = 0; t> 0; I. C.: u(x,0) = 12 + 5cos (x) – 4cos(21x); 0 < X < 6 (a) When t = 0, what would be the temperature at x = 3? (Use the initial condition.) (3 marks) (b) Determine whether the boundary conditions in this...

  • Q2 Given the following heat conduction initial-boundary value problem of a thin homogeneous rod, where u(x,...

    Q2 Given the following heat conduction initial-boundary value problem of a thin homogeneous rod, where u(x, t) represents the temperature. 9uxx = ut; 0<x< 6; t> 0; B.C.:u,(0,t) = 0; ux(6,t) = 0; t> 0; I. C.: u(x,0) = 12 + 5cos ( x) – 4cos(27x); 0<x< 6 (a) Whent 0, what would be the temperature at x = 3? (Use the initial condition.) (3 marks) (b) Determine whether the boundary conditions in this case is Dirichlet, Neumann, or mixed...

  • Given the following heat conduction initial-boundary value problem of a thin homogeneous rod, where u(x, t)...

    Given the following heat conduction initial-boundary value problem of a thin homogeneous rod, where u(x, t) represents the temperature. 9uxx = ut; 0<x< 6; t> 0; B.C.: ux(0,t) = 0; uz(6,t) = 0; t> 0; I. C.: u(x,0) = 12 + 5cos (x) – 4cos(27x); 0<x< 6 (a) When t = 0, what would be the temperature at x = 3? (Use the initial condition.) (3 marks) (b) Determine whether the boundary conditions in this case is Dirichlet, Neumann, or...

  • Q2 Given the following heat conduction initial-boundary value problem of a thin homogeneous rod, where u(x,...

    Q2 Given the following heat conduction initial-boundary value problem of a thin homogeneous rod, where u(x, t) represents the temperature. 9uxx = ut; 0 < x < 6; t> 0; B.C.: ux(0,t) = 0; uz(6,t) = 0; t>0; I. C.: u(x,0) = 12 + 5cos (6x) – 4cos(21x); 0<x< 6 (a) When t = 0, what would be the temperature at x = 3? (Use the initial condition.) (b) Determine whether the boundary conditions in this case is Dirichlet, Neumann,...

  • Question #5 all parts thanks 5. Find the solution of the heat conduction problem for each...

    Question #5 all parts thanks 5. Find the solution of the heat conduction problem for each initial condition given: 0<x <6, t> 0. (a) ux,0)-x)-4sin(x)-3sin(2x) +7sin(570:). (b) ux, 0)-x)-9t (c) In each of cases (a) and (b), find the limit of u(3,1) as t approaches oo. Are they different? Did you 45 expect them to be different?

  • Q2 Given the following heat conduction initial-boundary value problem of a thin homogeneous rod, where ?(?,?)...

    Q2 Given the following heat conduction initial-boundary value problem of a thin homogeneous rod, where ?(?,?) represents the temperature. 9??? = ?? ; 0 < ? < 6; ? > 0; B. C. : ?? (0,?) = 0; ?? (6,?) = 0; ? > 0; I. C. : ?(?, 0) = 12 + 5??? ( ? 6 ?) − 4???(2??); 0 < ? < 6 (a) When ? = 0, what would be the temperature at ? = 3? (Use...

  • please I need solution as soon as possible Q2 Given the following heat conduction initial-boundary value...

    please I need solution as soon as possible Q2 Given the following heat conduction initial-boundary value problem of a thin homogeneous rod, where u(x, t) represents the temperature. 9uxx = uti 0<x< 6; t>0; B.C.: uz (0.t) = 0; ux(6,t) = 0; t> 0; 1. C. :U(x,0) = 12 + 5cos (6x) – 4cos(2x); 0<x<6 (a) When t = 0, what would be the temperature at x = 3? (Use the initial condition.) (3 marks) (6) Determine whether the boundary...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT