C.Buelvas-A.Herrera-S.Passo-D.Puello.Tarea conveccion flujo interno.pdf

# C.Buelvas-A.Herrera-S.Passo-D.Puello.Tarea conveccion flujo interno.pdf

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TRANSFERENCIA DE CALOR POR CONVECCIÓN EN FLUJO INTERNO Autores: C. Buelvas- D.Puello - S. Passo - A. Herrera / Ing Quimica Universidad de cartagena M ODELO MATEMATICO FLUJO CONSTANTE DE CALOR EN LA SUPERFICIE Para ? ? ̇ constante, la velocidad de la transferencia de calor se expresa como ? = ? ? 𝐴 ? = ?̇ 𝐶 𝑃 (𝑇 𝑒 − 𝑇 𝑖 ) ̇ Entonces, la temperatura media del fluido 𝑇 𝑒 = 𝑇 𝑖 + ? 𝑠 𝐴 𝑐 ̇ ?̇ 𝐶 𝑝 Y se determina a partir de: ? = ℎ(𝑇 ? − 𝑇 ? ) −→ 𝑇 ? = 𝑇 ? + ? De lo anterior para un tubo circular ? = 2?? , = ?𝑉 ???? 𝐴 𝑐 = ?𝑉 ???? (?? 2 ) 𝜕𝑇 𝜕𝑥 = ?𝑇 ? ?𝑥 = ?𝑇 ? ?𝑥 = 2?̇ ? ?𝑉 ????𝐶 𝑝 ? = 𝐶????𝑎??? Temperatura superficial constante Por la ley de Newton del enfriamiento, la razón de la transferencia de calor se expresa como: ? ̇ = ℎ𝐴 ? ∆𝑇 ?? = ?̇ 𝐶 ? (𝑇 𝑒 −𝑇 𝑖 ) De ahí dado que el área superficial diferencial es dAs _ pdx , donde p es el perímetro del tubo, y queda ? ? ? = −?(? ? − ? ? ) Puesto que Ts es constante, la relación antes dada se puede reacomodar como: ?(𝑇 ? − 𝑇 ? ) 𝑇 ? − 𝑇 ? = − ℎ? ?̇ 𝐶 ? ?𝑥 Al integrar desde x =0 (admisión del tubo donde Tm = Ti ), hasta x = L (salida del tubo donde Tm = Te ) da ln ?
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