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Un canal trapezoidal de ancho de solera b=0.30m, taluz=1. Se pide
determinar el caudal que debe pasar para una energía específica
mínima de 0.48m.
 FORMULA DE RÉGIMEN CRÍTICO:
𝑸𝟐
𝒈
=
𝑨𝑪
𝟑
𝑻𝑪
… … . . 𝟏
 ECUACIÓN 1 SE OBTIENE:
𝑸𝟐
𝒈 × 𝑨𝟐
=
𝑨𝑪
𝑻𝑪
… … … .
𝑽𝑪
𝟐
𝒈
=
𝑨𝑪
𝑻𝑪
… … … 𝟑
 REEMPLAZAMOS 3 EN 2
𝐘𝐂 +
𝐀𝐂
𝟐𝐓𝐂
= 𝟎. 𝟒𝟖
𝐘𝐂 +
(𝐁 + 𝐙𝐘𝐂) × 𝐘𝐂
𝟐 × (𝐁 + 𝟐𝐙𝐘𝐂)
= 𝟎. 𝟒𝟖
𝐘𝐂 +
(𝟎. 𝟑𝟎 + 𝐘𝐂) × 𝐘𝐂
𝟐 × (𝟎. 𝟑𝟎 + 𝟐𝐘𝐂)
= 𝟎. 𝟒𝟖
 TANTEANDO OBTENEMOS EL VALOR DE 𝐘𝐂
𝐘𝐂 = 𝟎. 𝟑𝟔
𝐴𝐶 = (𝐵 + 𝑍𝑌𝐶) × 𝑌𝐶
𝑇𝐶 = (𝐵 + 2𝑍𝑌𝐶)
𝐸𝑀𝐼𝑁 = 𝑌𝐶 +
𝑉𝐶
2
2𝑔
= 0.48 … … . .2
 POR LO TANTO:
𝑨𝑪 = (𝟎. 𝟑𝟎 + 𝟏 × 𝟎. 𝟑𝟔𝟐𝟖) × 𝟎. 𝟑𝟔𝟐𝟖 = 𝟎. 𝟐𝟒𝒎𝟐
𝑻𝑪 = (𝟎. 𝟑𝟎 + 𝟐 × 𝟎. 𝟑𝟔𝟐𝟖) = 𝟏. 𝟎𝟐𝟔𝒎
 POR LO TANTO:
𝑸 = √
𝑨𝑪
𝟑
× 𝒈
𝑻𝑪
𝑸 = 𝟎. 𝟑𝟔𝟒
𝒎𝟑
𝑺

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Ejercicio 2 (1) HIDRAULICA

  • 1. Un canal trapezoidal de ancho de solera b=0.30m, taluz=1. Se pide determinar el caudal que debe pasar para una energía específica mínima de 0.48m.  FORMULA DE RÉGIMEN CRÍTICO: 𝑸𝟐 𝒈 = 𝑨𝑪 𝟑 𝑻𝑪 … … . . 𝟏  ECUACIÓN 1 SE OBTIENE: 𝑸𝟐 𝒈 × 𝑨𝟐 = 𝑨𝑪 𝑻𝑪 … … … . 𝑽𝑪 𝟐 𝒈 = 𝑨𝑪 𝑻𝑪 … … … 𝟑  REEMPLAZAMOS 3 EN 2 𝐘𝐂 + 𝐀𝐂 𝟐𝐓𝐂 = 𝟎. 𝟒𝟖 𝐘𝐂 + (𝐁 + 𝐙𝐘𝐂) × 𝐘𝐂 𝟐 × (𝐁 + 𝟐𝐙𝐘𝐂) = 𝟎. 𝟒𝟖 𝐘𝐂 + (𝟎. 𝟑𝟎 + 𝐘𝐂) × 𝐘𝐂 𝟐 × (𝟎. 𝟑𝟎 + 𝟐𝐘𝐂) = 𝟎. 𝟒𝟖  TANTEANDO OBTENEMOS EL VALOR DE 𝐘𝐂 𝐘𝐂 = 𝟎. 𝟑𝟔 𝐴𝐶 = (𝐵 + 𝑍𝑌𝐶) × 𝑌𝐶 𝑇𝐶 = (𝐵 + 2𝑍𝑌𝐶) 𝐸𝑀𝐼𝑁 = 𝑌𝐶 + 𝑉𝐶 2 2𝑔 = 0.48 … … . .2
  • 2.  POR LO TANTO: 𝑨𝑪 = (𝟎. 𝟑𝟎 + 𝟏 × 𝟎. 𝟑𝟔𝟐𝟖) × 𝟎. 𝟑𝟔𝟐𝟖 = 𝟎. 𝟐𝟒𝒎𝟐 𝑻𝑪 = (𝟎. 𝟑𝟎 + 𝟐 × 𝟎. 𝟑𝟔𝟐𝟖) = 𝟏. 𝟎𝟐𝟔𝒎  POR LO TANTO: 𝑸 = √ 𝑨𝑪 𝟑 × 𝒈 𝑻𝑪 𝑸 = 𝟎. 𝟑𝟔𝟒 𝒎𝟑 𝑺