Randvärdesproblem, värmeledning Flashcards

1
Q

variabel källtäthet inre värmekällor? enhet?

A

f(x) [J/m^3s]

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2
Q

variabel temperatur? enhet?

A

u(x) [k]

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3
Q

variabel värmeledningskoefficient? enhet?

A

a(x) [J/mKs]

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4
Q

variabel värmeflödestäthet? enhet?

A

j(x)=-a(x)*Du(x) [J/m^2s]

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5
Q

variabel omgivande temperatur? enhet?

A

uL [K]

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6
Q

variabel temperatur på insidan av ytan? enhet?

A

u(L) [K]

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7
Q

variabel värmeöverföringskoefficient? enhet?

A

kL [J/m^2Ks]

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8
Q

Differentialekvation värmeledning?

A

D(-a(x)Du(x))=f(x) , x tillhör I=(0,L)

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9
Q

Randvillkor värmeledningsproblem?

A

Analysera J(x) och u(x) i x=0 och x=L

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10
Q

variabel flödestäthet för värmekällor på randen? enhet?

A

g(x) [J/m^2]

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11
Q

Robins randvillkor?

A

aD(N)u+k(u-uA)=g på S

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12
Q

vad menas med S i detta sammanhang?

A

Randen

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13
Q

Newmanns randviillkor?

A

aD(N)u=g på S

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14
Q

Newmanns randvillkor om g=0?

A

D(N)*u=0 på S

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15
Q

Dirichlets randvillkor?

A

u=uA på S.

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16
Q

Vad menas med D i detta sammanhang?

A

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