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49 lines
1.4 KiB
Python
49 lines
1.4 KiB
Python
"""
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Title : Calculating the speed of sound
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Description :
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The speed of sound (c) is the speed that a sound wave travels per unit time (m/s).
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During propagation, the sound wave propagates through an elastic medium.
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Sound propagates as longitudinal waves in liquids and gases and as transverse waves
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in solids. This file calculates the speed of sound in a fluid based on its bulk
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module and density.
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Equation for the speed of sound in a fluid:
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c_fluid = sqrt(K_s / p)
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c_fluid: speed of sound in fluid
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K_s: isentropic bulk modulus
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p: density of fluid
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Source : https://en.wikipedia.org/wiki/Speed_of_sound
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"""
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def speed_of_sound_in_a_fluid(density: float, bulk_modulus: float) -> float:
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"""
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Calculates the speed of sound in a fluid from its density and bulk modulus
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Examples:
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Example 1 --> Water 20°C: bulk_modulus= 2.15MPa, density=998kg/m³
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Example 2 --> Mercury 20°C: bulk_modulus= 28.5MPa, density=13600kg/m³
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>>> speed_of_sound_in_a_fluid(bulk_modulus=2.15e9, density=998)
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1467.7563207952705
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>>> speed_of_sound_in_a_fluid(bulk_modulus=28.5e9, density=13600)
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1447.614670861731
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"""
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if density <= 0:
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raise ValueError("Impossible fluid density")
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if bulk_modulus <= 0:
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raise ValueError("Impossible bulk modulus")
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return (bulk_modulus / density) ** 0.5
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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