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viscousflow

viscousflow - Shear stress in a ﬂow is due to vcltwity...

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Unformatted text preview: Shear stress in a ﬂow is due to vcltwity gradients. for example. 7" = u, flu/Fly for rt ﬂow with gradients in the y ditccliun. Similarly. heat cnnductiun is due tn temperature gradients, for example. (it = -Ic aT/ay, etc. Both u and k are physiA cal properties of the gas and are functions of temperature. The general equations of viscous. ﬂow are D a . x momentum: p Bi: = _B—: + 95:3 + 25;: + 6—6:? (I5.l8a) D a a a y momentum: p-D—I: = —-:—\$ + 3:1 + 31:1 13th! ([5. I81!) z momentum; pﬁ— - —— + —'-~ + J + — “5.186) Energy: D(e + V72) , a 67') a a a ( a?) —___ _—_ +—_ _ _. _ ._._... — — Q p m M ”(It + (My ta: vpv 6.? 6(01'") + 6(W'l'f") + 3091:“) + 6(N’Tn) Ba «It By 62 “5.26) Tn = Tu h 1‘ 7,, = m? - V) + 32;; a" 3} 13,,= MV-V) + 2p}: aw .! = v C v + _ T, M ) 2y. 3: ...
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