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1.13 Suppose that a spherical droplet of liquid evaporates at a rate that is proportional to its surface area, dV dt a -KA

1.13 Suppose that a spherical droplet of liquid evaporates at a rate that is proportional to its surface area, dV dt a -KA

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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1.13 Suppose that a spherical droplet of liquid evaporates at a rate that is proportional to its surface area, dV dt a -KA where V = volume (mm³), t = time (min), k = the evaporation rate (mm/min), and A = surface area (mm²). Use Euler's method to compute the volume of the droplet from t = 0 to 10 min using a step size of 0.25 min. Assume that k = 0.1 mm/min and that the droplet initially has a radius of 3 mm. Assess the validity of your results by determining the radius of your final computed volume and verifying that it is consistent with the evaporation rate.
Transcribed Image Text:1.13 Suppose that a spherical droplet of liquid evaporates at a rate that is proportional to its surface area, dV dt a -KA where V = volume (mm³), t = time (min), k = the evaporation rate (mm/min), and A = surface area (mm²). Use Euler's method to compute the volume of the droplet from t = 0 to 10 min using a step size of 0.25 min. Assume that k = 0.1 mm/min and that the droplet initially has a radius of 3 mm. Assess the validity of your results by determining the radius of your final computed volume and verifying that it is consistent with the evaporation rate.
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Classify the governing equation for the spherical droplet problem. (A ____order, (variables)_____ and ____). 1. differential equation, in 2. For the spherical droplet problem, generate an overlay of the droplet radius vs. time (a) as inferred from your computed volume and (b) using the k value given in the problem. Make sure the traces have different colors and have markers at 0, 10, 20 and 30 minutes.
Transcribed Image Text:Classify the governing equation for the spherical droplet problem. (A ____order, (variables)_____ and ____). 1. differential equation, in 2. For the spherical droplet problem, generate an overlay of the droplet radius vs. time (a) as inferred from your computed volume and (b) using the k value given in the problem. Make sure the traces have different colors and have markers at 0, 10, 20 and 30 minutes.
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