PROBLEM 3.2 What is the physical significance of the statement that the temperature of each node is just the average of its neighbors if there is ...
PROBLEM 3.2
What is the physical significance of the statement that the temperature of each node is just the average of its neighbors if there is no heat generation [with reference to Equation (3.2)]?
SOLUTION
The significance is that in regions without heat generation, the temperature profile must be linear. Compare the subject equation with the solution of the differential equation
2
2
d T
dx
= 0
which is T(x) = a + bx, which is also linear.
What is the physical significance of the statement that the temperature of each node is just the average of its neighbors if there is no heat generation [with reference to Equation (3.2)]?
SOLUTION
The significance is that in regions without heat generation, the temperature profile must be linear. Compare the subject equation with the solution of the differential equation
2
2
d T
dx
= 0
which is T(x) = a + bx, which is also linear.
Essa pergunta também está no material:
💡 1 Resposta
Ed 
A afirmação de que a temperatura de cada nó é apenas a média de seus vizinhos, quando não há geração de calor, tem um significado físico importante. Isso implica que, em regiões sem geração de calor, o perfil de temperatura deve ser linear. Isso pode ser comparado com a solução da equação diferencial d²T/dx² = 0, que é T(x) = a + bx, também uma função linear.
✏️ Responder
Para escrever sua resposta aqui, entre ou crie uma conta
Outros materiais
Perguntas relacionadas
Compartilhar