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3. Temperature, T To R Radial distance, r Liquid R To evaluate the performance of an atomizing nozzle, it is proposed to atomize a nonvolatile liquid wax into a stream of cool air. The atomized wax particles are expected to solidify in the air, from which they may later be collected and examined (see image to the right). The wax droplets leave the atomizer only slightly above their melting point at To. Heat is lost from the drop to the surrounding air according to Newton's law of cooling, with a constant heat-transfer coefficient h. Assume that there is no volume change in the solidification process. zone Solid zone a) Find the steady-state temperature profile in the solid phase in the region between r = Rf (the liquid-solid interface) and r = R (the solid-air interface). Let k be the thermal conductivity of the solid phase. b) Find the radial heat flow Q across the spherical surface at r = R.

3. Temperature, T To R Radial distance, r Liquid R To evaluate the performance of an atomizing nozzle, it is proposed to atomize a nonvolatile liquid wax into a stream of cool air. The atomized wax particles are expected to solidify in the air, from which they may later be collected and examined (see image to the right). The wax droplets leave the atomizer only slightly above their melting point at To. Heat is lost from the drop to the surrounding air according to Newton's law of cooling, with a constant heat-transfer coefficient h. Assume that there is no volume change in the solidification process. zone Solid zone a) Find the steady-state temperature profile in the solid phase in the region between r = Rf (the liquid-solid interface) and r = R (the solid-air interface). Let k be the thermal conductivity of the solid phase. b) Find the radial heat flow Q across the spherical surface at r = R.

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
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3. Temperature, T To R Radial distance, r Liquid R To evaluate the performance of an atomizing nozzle, it is proposed to atomize a nonvolatile liquid wax into a stream of cool air. The atomized wax particles are expected to solidify in the air, from which they may later be collected and examined (see image to the right). The wax droplets leave the atomizer only slightly above their melting point at To. Heat is lost from the drop to the surrounding air according to Newton's law of cooling, with a constant heat-transfer coefficient h. Assume that there is no volume change in the solidification process. zone Solid zone a) Find the steady-state temperature profile in the solid phase in the region between r = Rf (the liquid-solid interface) and r = R (the solid-air interface). Let k be the thermal conductivity of the solid phase. b) Find the radial heat flow Q across the spherical surface at r = R.
Transcribed Image Text:3. Temperature, T To R Radial distance, r Liquid R To evaluate the performance of an atomizing nozzle, it is proposed to atomize a nonvolatile liquid wax into a stream of cool air. The atomized wax particles are expected to solidify in the air, from which they may later be collected and examined (see image to the right). The wax droplets leave the atomizer only slightly above their melting point at To. Heat is lost from the drop to the surrounding air according to Newton's law of cooling, with a constant heat-transfer coefficient h. Assume that there is no volume change in the solidification process. zone Solid zone a) Find the steady-state temperature profile in the solid phase in the region between r = Rf (the liquid-solid interface) and r = R (the solid-air interface). Let k be the thermal conductivity of the solid phase. b) Find the radial heat flow Q across the spherical surface at r = R.
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