Mixing Fluids

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Equations when fluids are mixed:

Final Mass of Mixed Fluids

m = m₁ + m₂ + ... + m_n  (1)

where

m = final mass (kg, lb)

m_1..n = mass of substances

Final Temperature of Mixed Fluids

t = (m₁ c₁ t₁ + m₂ c₂ t₂ + ... + m_n c_n t_n) / (m₁ c₁ + m₂ c₂ + ... + m_n c_n)    (2)

where

t = final temperature (^oC, ^oF)

c_1..n = specific heat of substances (kJ/kg.^oC, Btu/lb.^oF)

t_1..n = temperatures of substances (^oC, ^oF)

Example - Mixing of Water with Different Temperatures

10 kg of water at 10 ^oC is mixed with 2 kg water at 100 ^oC. The final temperature of the mixture can be calculated as

t = ((10 kg) (4.2 kJ/kg.^oC) (10 ^oC) + (2 kg) (4.2 kJ/kg.^oC) (100 ^oC)) / ((10 kg) (4.2 kJ/kg.^oC) + (2 kg) (4.2 kJ/kg.^oC))

  = 25 ^oC

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Related Topics

• Fluid Mechanics - The study of fluids - liquids and gases. Involves various properties of the fluid, such as velocity, pressure, density and temperature, as functions of space and time.

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