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Consider air flow over a flat plate of length, L = 1 m under conditions for which transition to turbulence occurs at xe = 0.5 m based on the critical Reynolds number of 5x10³. Also, in the laminar and turbulent regions, the local convection heat transfer coefficients are given by, respectively, hlam (x) = Clam x0.5 and hurb (x) = Cturb.X-0.2 where, at T = 300 K, Clam = 8.345 W/m¹.5K, Curb = 47.95 W/m¹8 K, and x has units of m. (a) Using the thermophysical properties of air at 300 K, determine the air velocity. (b) 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 < xe. (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, xe

Consider air flow over a flat plate of length, L = 1 m under conditions for which transition to turbulence occurs at xe = 0.5 m based on the critical Reynolds number of 5x10³. Also, in the laminar and turbulent regions, the local convection heat transfer coefficients are given by, respectively, hlam (x) = Clam x0.5 and hurb (x) = Cturb.X-0.2 where, at T = 300 K, Clam = 8.345 W/m¹.5K, Curb = 47.95 W/m¹8 K, and x has units of m. (a) Using the thermophysical properties of air at 300 K, determine the air velocity. (b) 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 < xe. (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, xe

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Consider air flow over a flat plate of length, L = 1 m under conditions for which transition to turbulence occurs at x = 0.5 m based on the critical Reynolds number of 5×10³. Also, in the laminar and turbulent regions, the local convection heat transfer coefficients are given by, respectively, hlam (x) = Clam x-0.5 and hurb (x) = Cturb-X-0.2 where, at T = 300 K, Clam = 8.345 W/m¹5 K, Curb = 47.95 W/m¹8 K, and x has units of m. (a) Using the thermophysical properties of air at 300 K, determine the air velocity. (b) Develop an expression for the average convection coefficient, hlam(x), as a function of distance from the leading edge, x, for the laminar region, 0 < x < xe. (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, xe < x <L. (d) On the same coordinates, plot both local and average heat transfer coefficients, h(x) and h(x), as a function of x for 0 ≤ x ≤ L.
Transcribed Image Text:Consider air flow over a flat plate of length, L = 1 m under conditions for which transition to turbulence occurs at x = 0.5 m based on the critical Reynolds number of 5×10³. Also, in the laminar and turbulent regions, the local convection heat transfer coefficients are given by, respectively, hlam (x) = Clam x-0.5 and hurb (x) = Cturb-X-0.2 where, at T = 300 K, Clam = 8.345 W/m¹5 K, Curb = 47.95 W/m¹8 K, and x has units of m. (a) Using the thermophysical properties of air at 300 K, determine the air velocity. (b) Develop an expression for the average convection coefficient, hlam(x), as a function of distance from the leading edge, x, for the laminar region, 0 < x < xe. (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, xe < x <L. (d) On the same coordinates, plot both local and average heat transfer coefficients, h(x) and h(x), as a function of x for 0 ≤ x ≤ L.
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