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Consider airflow over a flat plate of length L=1m under conditions for which transition occurs x= 0.5 m based on the critical Reynolds number, Rex = 5 x 105. (a) Evaluating the thermophysical properties of air at W 350 K, determine the air velocity. (b) In the laminar and turbulent regions, the local con- vection coefficients are, respectively, hlam(x) = ClamX-0.5 and hurb Curb X -0.2 = Jn812009 where, at T = 350 K, Clam = 8.845 W/m2.K, Curb = 49.75 W/m¹8 K, and x has units of m. Develop an expression for the average convection coefficient, ham (x), as a function of distance from the leading edge, x, for the laminar region, 0 ≤x≤x. (c) Develop an expression for the average convection coefficient, hurb(x), as a function of distance from the leading edge, x, for the turbulent region, x ≤x≤ L. (d) On the same coordinates, plot the local and average convection coefficients, h, and h,, respectively, as a function of x for 0 ≤ x ≤ L.

Consider airflow over a flat plate of length L=1m under conditions for which transition occurs x= 0.5 m based on the critical Reynolds number, Rex = 5 x 105. (a) Evaluating the thermophysical properties of air at W 350 K, determine the air velocity. (b) In the laminar and turbulent regions, the local con- vection coefficients are, respectively, hlam(x) = ClamX-0.5 and hurb Curb X -0.2 = Jn812009 where, at T = 350 K, Clam = 8.845 W/m2.K, Curb = 49.75 W/m¹8 K, and x has units of m. Develop an expression for the average convection coefficient, ham (x), as a function of distance from the leading edge, x, for the laminar region, 0 ≤x≤x. (c) Develop an expression for the average convection coefficient, hurb(x), as a function of distance from the leading edge, x, for the turbulent region, x ≤x≤ L. (d) On the same coordinates, plot the local and average convection coefficients, h, and h,, respectively, as a function of x for 0 ≤ x ≤ L.

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
Problem 1.1P
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Consider airflow over a flat plate of length L=1m under conditions for which transition occurs at x = 0.5 m based on the critical Reynolds number, Rexc = 5 x 105. (a) Evaluating the thermophysical properties of air at 350 K, determine the air velocity. (b) In the laminar and turbulent regions, the local con- vection coefficients are, respectively, hlam(x) = Clam x 0.5 and hurb = Curb X x-0.2 ont 1018) where, at T = 350 K, Clam= 8.845 W/m2.K, Curb = 49.75 W/m¹8K, and x has units of m. Develop an expression for the average convection coefficient, ham (x), as a function of distance from the leading edge, x, for the laminar region, 0≤x≤x (c) Develop an expression for the average convection coefficient, hurb(x), as a function of distance from the leading edge, x, for the turbulent region, x ≤x≤ L. (d) On the same coordinates, plot the local and average convection coefficients, h, and h,, respectively, as a function of x for 0 ≤ x ≤ L.
Transcribed Image Text:Consider airflow over a flat plate of length L=1m under conditions for which transition occurs at x = 0.5 m based on the critical Reynolds number, Rexc = 5 x 105. (a) Evaluating the thermophysical properties of air at 350 K, determine the air velocity. (b) In the laminar and turbulent regions, the local con- vection coefficients are, respectively, hlam(x) = Clam x 0.5 and hurb = Curb X x-0.2 ont 1018) where, at T = 350 K, Clam= 8.845 W/m2.K, Curb = 49.75 W/m¹8K, and x has units of m. Develop an expression for the average convection coefficient, ham (x), as a function of distance from the leading edge, x, for the laminar region, 0≤x≤x (c) Develop an expression for the average convection coefficient, hurb(x), as a function of distance from the leading edge, x, for the turbulent region, x ≤x≤ L. (d) On the same coordinates, plot the local and average convection coefficients, h, and h,, respectively, as a function of x for 0 ≤ x ≤ L.
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