Mass Accretion During the Motion of Raindrops
Sneha Dey1, A. Ghorai2
1Sneha Dey, Department of Physics, Maulana Azad College, Rafi Ahmed Kidwai Road, Kolkata (West Bengal), India.
2A. Ghorai, School of Science, Jangalpur Road, Kolkata (West Bengal), India.
Manuscript received on 28 March 2022 | Revised Manuscript received on 01 April 2022 | Manuscript Accepted on 15 April 2022 | Manuscript published on 30 April 2022 | PP: 10-13 | Volume-2 Issue-1, April 2022 | Retrieval Number: 100.1/ijap.C1019041322 | DOI: 10.54105/ijap.C1019.041322
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Abstract: Exploration of dynamics of raindrops is one of the simple yet most complicated mechanical problems. Mass accretion from moist air during the motion of raindrop through resistive medium holds an arbitrary power law equation. Its integral part is the change of shape, terminal motions and terminal solutions, etc. Classical Newtonian formalism is used to formulate a mathematical model of generalized first order differential equation. We have discussed about the terminal velocity of raindrop and its variation with the extensive use of python program and library. It is found that terminal velocity 𝐯𝐓𝐜𝛂𝛃 is achieved within 20 seconds where 𝛂=, 𝛃=(𝟎,𝟏) and 𝐧=𝟎,𝟏,𝟐,𝟑,𝟒,…. Its variations due to mass accretion roughly follows the earlier predicted range 𝐠/𝟕 to 𝐠/𝟑.
Keywords: Air Resistance, Mass Accretion Rate, Raindrop, Terminal Velocity.
Scope of the Article: General and Interdisciplinary Physics