A large cone-shaped container (height H and radius R) is fed a liquid solution of density ρ at aconstant flow rate q0 . The solution evaporates from its top surface exposed to the sun.(a) Assuming that the rate of evaporation is proportional to the area of the surface with aconstant K (kg/m 2 .s), develop a differential equation for the variation with time of the level ofthe liquid in the container.(b) What should be the feed flow rate to maintain the fluid level constant once it reaches adesired value h*?(c) If the feed was zero, would the rate of change of the level of the fluid depend on the shapeof the cone-shaped container (H,R dimensions)

A large cone-shaped container (height H and radius R) is fed a liquid solution of density ρ at aconstant flow rate q0 . The solution evaporates from its top surface exposed to the sun.(a) Assuming that the rate of evaporation is proportional to the area of the surface with aconstant K (kg/m 2 .s), develop a differential equation for the variation with time of the level ofthe liquid in the container.(b) What should be the feed flow rate to maintain the fluid level constant once it reaches adesired value h*?(c) If the feed was zero, would the rate of change of the level of the fluid depend on the shapeof the cone-shaped container (H,R dimensions)

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.54P

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