Speed of sound

physics/speed_of_sound.py

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+"""
+Title : Calculating the speed of sound
+
+Description :
+ The speed of sound (c) is the speed that a sound wave travels
+ per unit time (m/s). During propagation, the sound wave propagates
+ through an elastic medium. Its SI unit is meter per second (m/s).
+
+ Only longitudinal waves can propagate in liquids and gas other then
+ solid where they also travel in transverse wave. The following Algo-
+ rithem calculates the speed of sound in fluid depanding on the bulk
+ module and the density of the fluid.
+
+ Equation for calculating speed od sound in fluid:
+ c_fluid = (K_s*p)**0.5
+
+ c_fluid: speed of sound in fluid
+ K_s: isentropic bulk modulus
+ p: density of fluid
+
+
+
+Source : https://en.wikipedia.org/wiki/Speed_of_sound
+"""
+
+
+def speed_of_sound_in_a_fluid(density: float, bulk_modulus: float) -> float:
+ """
+ This method calculates the speed of sound in fluid -
+ This is calculated from the other two provided values
+ Examples:
+ Example 1 --> Water 20°C: bulk_moduls= 2.15MPa, density=998kg/m³
+ Example 2 --> Murcery 20°: bulk_moduls= 28.5MPa, density=13600kg/m³
+
+ >>> speed_of_sound_in_a_fluid(bulk_modulus=2.15*10**9, density=998)
+ 1467.7563207952705
+ >>> speed_of_sound_in_a_fluid(bulk_modulus=28.5*10**9, density=13600)
+ 1447.614670861731
+ """
+
+ if density <= 0:
+ raise ValueError("Impossible fluid density")
+ if bulk_modulus <= 0:
+ raise ValueError("Impossible bulk modulus")
+
+ return (bulk_modulus / density) ** 0.5
+
+
+if __name__ == "__main__":
+ import doctest
+
+ doctest.testmod()