Local Nusselt number for fully developed (hydrodynamically and thermally) turbulent flow in a smooth circular tube is defined by Nup-hD/kr, where h, D, and kr are the convective heat transfer coefficient, tube diameter, and fluid thermal conductivity, respectively. The friction factor for the smooth circular tube is given by the Blasius correlation, f-0.316Rep¹4. The Reynolds number is defined by Rep-prviD/ur, where pr, vr, and are the fluid density, fluid velocity, and fluid viscosity, respectively. The Blasius correlation is applicable to Rep<2×104. Considering the analogy between velocity and thermal boundary layers and using the Blasius correlation, express the local Nusselt number using Reynolds and Prandtl numbers in the form of NuD-AxReD³xPr. The Prandtl number is defined by Pr-war, where and a are the fluid kinematic viscosity and fluid thermal diffusivity, respectively. Note that the local Nusselt number formula should be applicable to Rep<2×10 and 0.6

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Chapter6: Forced Convection Over Exterior Surfaces
Section: Chapter Questions
Problem 6.53P
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Local Nusselt number for fully developed (hydrodynamically and thermally) turbulent flow in
a smooth circular tube is defined by Nup-hD/kr, where h, D, and kr are the convective heat
transfer coefficient, tube diameter, and fluid thermal conductivity, respectively. The friction
factor for the smooth circular tube is given by the Blasius correlation, f-0.316Red ¹/4. The
Reynolds number is defined by Rep-prviD/μr, where pr, vr, and ur are the fluid density, fluid
velocity, and fluid viscosity, respectively. The Blasius correlation is applicable to Rep<2×10¹.
Considering the analogy between velocity and thermal boundary layers and using the Blasius
correlation, express the local Nusselt number using Reynolds and Prandtl numbers in the form
of NuD-A-ReDxPr. The Prandtl number is defined by Pr-war, where and ar are the fluid
kinematic viscosity and fluid thermal diffusivity, respectively. Note that the local Nusselt
number formula should be applicable to Rep<2×10 and 0.6<Pr<60.
2-1) What is the value of A?
2-2) What is the value of B?
2-3) What is the value of C?
Transcribed Image Text:Local Nusselt number for fully developed (hydrodynamically and thermally) turbulent flow in a smooth circular tube is defined by Nup-hD/kr, where h, D, and kr are the convective heat transfer coefficient, tube diameter, and fluid thermal conductivity, respectively. The friction factor for the smooth circular tube is given by the Blasius correlation, f-0.316Red ¹/4. The Reynolds number is defined by Rep-prviD/μr, where pr, vr, and ur are the fluid density, fluid velocity, and fluid viscosity, respectively. The Blasius correlation is applicable to Rep<2×10¹. Considering the analogy between velocity and thermal boundary layers and using the Blasius correlation, express the local Nusselt number using Reynolds and Prandtl numbers in the form of NuD-A-ReDxPr. The Prandtl number is defined by Pr-war, where and ar are the fluid kinematic viscosity and fluid thermal diffusivity, respectively. Note that the local Nusselt number formula should be applicable to Rep<2×10 and 0.6<Pr<60. 2-1) What is the value of A? 2-2) What is the value of B? 2-3) What is the value of C?
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