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53 lines
1.6 KiB
Python
53 lines
1.6 KiB
Python
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"""
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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
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per unit time (m/s). During propagation, the sound wave propagates
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through an elastic medium. Its SI unit is meter per second (m/s).
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Only longitudinal waves can propagate in liquids and gas other then
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solid where they also travel in transverse wave. The following Algo-
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rithem calculates the speed of sound in fluid depanding on the bulk
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module and the density of the fluid.
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Equation for calculating speed od sound in fluid:
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c_fluid = (K_s*p)**0.5
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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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This method calculates the speed of sound in fluid -
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This is calculated from the other two provided values
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Examples:
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Example 1 --> Water 20°C: bulk_moduls= 2.15MPa, density=998kg/m³
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Example 2 --> Murcery 20°: bulk_moduls= 28.5MPa, density=13600kg/m³
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>>> speed_of_sound_in_a_fluid(bulk_modulus=2.15*10**9, density=998)
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1467.7563207952705
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>>> speed_of_sound_in_a_fluid(bulk_modulus=28.5*10**9, 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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