use finite difference method Solve the heat trnasfer ODE boundary value problem for a rod of length 1.0 m. The govering ODEis:d?T– B?T ==B*T,d²xwhere B2 = 16 cm2 (heat diffusivity).Ta= 15° C (ambient temperature)T(0.0) = 25° CT(1.0) = 75° CThe B.CsE AXTo25°CT2T3T475°CX = 00.250.500.75x = 1.0Assume Ar = 0.25 cm.Show detailed steps and calculations.

Given that, The ordinary differential equation is:d2Tdx2-β2T=-β2TaWhere,β2=16 cm2 Heat…

Answered: Solve the heat trnasfer ODE boundary…

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Solve the heat trnasfer ODE boundary value problem for a rod of length 1.0 m. The govering OD is: d?T - B²T =-B*T, d'x

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Basic Thermodynamic Processes

The word 'thermodynamics' can be divided into two words, 'thermo' and 'dynamics'. The word thermo deals with the heat and thermal phenomenon, whereas dynamics deals with forces or external agent that drives the heat flow or aids in the motion of heat.

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use finite difference method

Solve the heat trnasfer ODE boundary value problem for a rod of length 1.0 m. The govering ODE
is:
d?T
– B?T ==B*T,
d²x
where B2 = 16 cm2 (heat diffusivity).
Ta= 15° C (ambient temperature)
T(0.0) = 25° C
T(1.0) = 75° C
The B.Cs
E AX
To
25°C
T2
T3
T4
75°C
X = 0
0.25
0.50
0.75
x = 1.0
Assume Ar = 0.25 cm.
Show detailed steps and calculations.

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