Enunciados, 10 MB - IqTMA-UVa - Universidad de Valladolid

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APÉNDICE Ley de Newton en coordenadas rectangulares ⎡ ∂v 2 x ⎤ τ xx = −μ⎢2 − ( ∇. v) x 3 ⎥ ⎣ ∂ ⎦ ⎡ ∂v y 2 ⎤ τ yy = −μ⎢2 − ( ∇. v) ⎥ ⎣ ∂y 3 ⎦ ⎡ ∂vz 2 ⎤ τ zz = −μ⎢2 − ( ∇. v) ∂z 3 ⎥ ⎣ ⎦ ∂v ∂v x y ∂vz ∇ = + + ∂x ∂y ∂z ( . v ) ⎡∂v ∂v x y ⎤ τ xy = τ yx = −μ ⎢ + ⎥ ⎣ ∂y ∂x ⎦ ⎡∂v y ∂vz ⎤ τ yz = τ zy = −μ ⎢ + ⎥ ⎣ ∂z ∂y ⎦ ⎡∂vz ∂vx ⎤ τ zx = τ xz = −μ ⎢ + ∂x ∂z ⎥ ⎣ ⎦ Ley de Newton en coordenadas cilíndricas ⎡ ∂v 2 r ⎤ τ rr = −μ⎢2 − ( ∇. v) r 3 ⎥ ⎣ ∂ ⎦ ⎡ ⎛1∂vθ vr ⎞ 2 τ θθ = −μ ⎢2 ⎜ + ( v r r ⎟− ∇. ) ⎤ ⎥ ⎣ ⎝ ∂θ ⎠ 3 ⎦ ⎡ ∂vz 2 ⎤ τ zz = −μ⎢2 − ( ∇. v) ∂z 3 ⎥ ⎣ ⎦ ⎡ ∂ ⎛vθ ⎞ 1 ∂vr ⎤ τrθ = τθr = − μ ⎢r r ⎜ r ⎟+ ⎥ ⎣ ∂ ⎝ ⎠ r ∂θ ⎦ ⎡∂vθ 1 ∂vz ⎤ τzθ = τθz = − μ ⎢ + z r θ ⎥ ⎣ ∂ ∂ ⎦ ⎡∂vz ∂vr ⎤ τzr = τrz = − μ ⎢ + ∂r ∂z ⎥ ⎣ ⎦ 1 ∂ 1∂vθ ∂vz ∇ = + + r ∂r r ∂θ ∂z ( . v) ( rvr ) Ley de Newton en coordenadas esféricas τ rr ⎡ ∂v 2 r ⎤ =−μ⎢2 − ( ∇. v) ∂r 3 ⎥ ⎣ ⎦ ⎡ ∂ ⎛vθ ⎞ 1 ∂vr ⎤ τrθ = τθr = − μ⎢r + ⎥ ∂r ⎜ r ⎟ ⎣ ⎝ ⎠ r ∂θ ⎦ τ τ θθ φφ ⎡ ⎛ 1∂v vr ⎞ 2 θ ⎤ =− μ⎢2 ⎜ + − ( ∇. v) ⎥ r ∂ r ⎟ ⎣ ⎝ θ ⎠ 3 ⎦ ⎡ ⎛ 1 ∂vφ v cot 2 2 ( . ) ⎤ r v ⎞ θ θ =− μ⎢ ⎜ + + ⎟− ∇v ⎥ ⎣⎢ ⎝r senθ ∂φ r r ⎠ 3 ⎦⎥ ⎡ senθ ∂ ⎛ vφ ⎞ 1 ∂v ⎤ θ τθφ = τφθ = − μ⎢ ⎜ ⎟+ ⎥ ⎢⎣ r ∂θ ⎝senθ ⎠ r senθ ∂φ ⎥⎦ ⎡ 1 ∂v v r ∂ ⎛ τφr = τrφ = − μ⎢ + r ⎜ ⎢⎣r senθ ∂φ ∂r ⎝ r φ ⎞⎤ ⎟⎥ ⎠⎥⎦ 1 1 1 ∂vφ ∇ = + + 2 r ∂r r senθ ∂θ r senθ ∂φ ∂ 2 ∂ ( . v) ( r vr ) ( vθ senθ ) Fenómenos de Transporte Depto. Ingeniería Química. Universidad de Valladolid
2005-Par1-No:7 [Solución] [Tema 2] [Índice] En el esquema se representa un chorro de líquido cayendo en una atmósfera de aire en reposo. Dibuje el perfil de velocidad tanto en el líquido como en el aire próximo al líquido. (Respuesta: +2) LÍQUIDO AIRE AIRE Fenómenos de Transporte Depto. Ingeniería Química. Universidad de Valladolid
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fenómenos detransporte COLECCIÓN
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FENÓMENOS DE TRANSPORTE TEMA 1.- V
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FENÓMENOS DE TRANSPORTE TEMA 3.- C
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FENÓMENOS DE TRANSPORTE TEMA 5.- D
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Otros: 1994-Sep-No:18 1994-Sep-No:2
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FENÓMENOS DE TRANSPORTE TEMA 8.- T
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FENÓMENOS DE TRANSPORTE Ejercicios
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1994-Jun-No:2 [Solución] [Tema 1]
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1994-Sep-No:1 [Solución] [Tema 1]
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1994-Sep-No:17 [Solución] [Tema A]
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1995-Jun-No:6 [Solución] [Tema A]
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2004-Jun-No:1a [Solución] [Tema 6]
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Page 309 and 310: Ec. Energía ˆ ⎛∂T ∂T v v 1
Page 311 and 312: APÉNDICE Ley de Newton en coordena
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Page 319 and 320: APÉNDICE ECUACIONES DE VARIACIÓN
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2006-Par1-No:2 [Solución] [Tema 2]
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APÉNDICE Ley de Newton en coordena
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2006-Par3-No:5a [Solución] [Tema 6
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2006-Sep-No:1ab [Solución] [Tema 6
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2006-Sep-No:1d [Solución] [Tema 4]
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2006-Sep-No:1g [Solución] [Tema 8]
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Enunciados, 10 MB - IqTMA-UVa - Universidad de Valladolid

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