Determine the steady state temperature distribution in a rectangu-lar plate of size 20cm x 20cm by solving the Laplace equation:0,urith boundary conditions:T(0, y) = T(20, y) = 20°, T(x, 20) = 40°, and T(x,0) = 0°. Take Ax = 5cm = Ay.%3D

Given ∂2T∂x2+∂2T∂y2=0. The boundary conditions are depicted in the figure below,

Answered: Determine the steady state temperature…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

A particle moves on the x axis with acceleration a(t)=6t-10 m/sec2 for t seconds over [0,10] with s(0)=0 and v(0)=6m/sec. Find the position and velocity at t=1 sec.
A force of 540 newtons stretches a spring 3 meters. A mass of 45 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 10 m/s. Give the initial conditions. x(0) x'(0) = x(t) = m m/s Find the equation of motion. m
15)A particle is moving and has acceleration by a Ge)= 6t-4. The initial velocity is vco)=5 and the initial position is s Co) =10. %3D Find the position at t= I 2014
Find the displacement of the particle with velocity function v (t) = -3 cos (t+) between t 0: %3D t=
B. An unevenly heated plate has temperature T(x, y) at point (r, y). If T(2, 1) = 135º, T:(2, 1) = 16, and T,(2, 1) = -15, use the linear approximation to estimate the temperature at the point (2.04,0.97). (Ans: L(2.04,0.97) = 136.09) differential d
Assume the motion of a mass-spring system with damping is governed by d²x dx 1 +b +16x=0; x(0) - —, x(0)-0. di? ,2 dt Find the equation of motion and sketch the graph for the three cases where b= 4, 8, and 1

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

Determine the steady state temperature distribution in a rectangu- lar plate of size 20cm x 20cm by solving the Laplace equation: PT ²T - 0, dz² dy² with boundary conditions: T(0, y) = T (20, y) = 20°, T(r,20) = 40°, and T(r,0) = 0°. Take Ar = 5cm = Ay.