are or equal length. Part a has thermal conductivity ka, for 0 ss1/2, and part b has thermal conductivity kb, for 1/2 sxs1. The nondimensional transient heat conduction equations that describe the temperature u over the length x of the composite rod are: Pu du at

icon
Related questions
Question
None
An insulated composite rod is formed of two parts arranged end to end, and both halves are of
equal length. Part a has thermal conductivity ka, for 0 srs1/2, and part b has thermal
conductivity kb, for 1/2 sxs1. The nondimensional transient heat conduction equations that
describe the temperature u over the length x of the composite rod are:
du
0sxs1/2
at
1/2 <x< 1
at
where u-temperature, x= axial coordinate, t = time, and r =ka kb. The boundary and initial
conditions are
Boundary conditions
40, 1) = 1
1, 1 -1
x- 1/2
Initial conditions
dx, O) - 0
O<x< 1
Solve this set of equations for the temperature distribution as a function of time.
PLEASE DO IN EXPLICIT METHOD
Transcribed Image Text:An insulated composite rod is formed of two parts arranged end to end, and both halves are of equal length. Part a has thermal conductivity ka, for 0 srs1/2, and part b has thermal conductivity kb, for 1/2 sxs1. The nondimensional transient heat conduction equations that describe the temperature u over the length x of the composite rod are: du 0sxs1/2 at 1/2 <x< 1 at where u-temperature, x= axial coordinate, t = time, and r =ka kb. The boundary and initial conditions are Boundary conditions 40, 1) = 1 1, 1 -1 x- 1/2 Initial conditions dx, O) - 0 O<x< 1 Solve this set of equations for the temperature distribution as a function of time. PLEASE DO IN EXPLICIT METHOD
Expert Solution
steps

Step by step

Solved in 10 steps with 16 images

Blurred answer