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Internal Flow Jigsaw
Developed by Dr. Don Richards, Rose-Hulman Institute of Technology

 

Internal Flow Jigsaw Questions 

Assignment for Period 24 (Friday, 18 April 2003)

Explanation of this assignment: One way to reduce the work that all of us have to do to learn new material is to divide up the material, each of us become an “expert” on a small area, and then share what we’ve learned with others. This active learning technique is commonly referred to as a Jigsaw because like a jigsaw puzzle each of us contributes a small piece of knowledge that helps everyone understand the big picture. To get the most benefit with the least amount of effort follow the instructions below carefully. You can obviously do more, but each of you must do the minimum so that we all get the benefit of this tool.

[This entire assignment should take no longer than 30 to 45 minutes]

1.   Review/skim the material in Sections 8.1-8.4 for pertinent material on your assigned flow regime. Read Section 8.5 (Laminar Flow) or Section 8.6 (Turbulent Flow) as assigned.

2.   Prepare answers to the following on your assigned flow regime.

 

Unless indicated otherwise all questions are for steady flow in a smooth circular pipe.  Read “XXXX” as either laminar or turbulent.

 

How do you decide if a flow is XXXX?

 

 

Sketch the velocity at a single point in the XXXX flow as a function of time?   

 

 

How long is the hydrodynamic entrance length, i.e. Lh /D, in XXXX flow?   

 

 

How long is the thermal entrance length, i.e. L/D, in XXXX flow?

 

 

 

What is the friction factor f (Darcy friction factor) for fully-developed XXXX flow? How can you find a value for it?

 

 

 

How does the Darcy friction factor for fully-developed XXXX flow given here relate to the values in the Moody friction factor chart? 

 

 

 

What is the Nusselt number for fully-developed, XXXX flow with constant surface heat flux (= constant) boundary condition? 

 

 

 

What is the Nusselt number for fully-developed, XXXX flow with constant surface temperature (Ts=constant; isothermal wall) boundary condition? 

 

 

 

What is the impact of surface roughness on friction faction and Nusselt number for fully-developed XXXX  flow?

 

 

 

 

How do you predict friction factor and Nusselt number for fully-developed XXXX  flow in tubes or ducts with non-circular cross sections? 



 

Internal Forced Convection in a Duct

Laminar Flow

Turbulent Flow


 

How do you decide if an internal flow is laminar or turbulent?

 

 

 

 

 

 

 

Sketch the velocity at a single point in a laminar/turbulent flow as a function of time? 

 

 

 

 

 

 

How long is the hydrodynamic entrance length measured in diameters, i.e. Lh /D, in laminar/turbulent flow?  What is its maximum value?

 

 

 

 

 

 

 

How long is the thermal entrance length measured in diameters, i.e. L/D, in laminar/turbulent flow? What is its maximum value?

 

 

 

 

 

 

 

 

What is the friction factor f (Darcy friction factor) for fully-developed laminar/turbulent flow? How can you find a value for it?

 

 

 

 

 

 

 

 

How does the friction factor f (Darcy friction factor) for fully-developed laminar/turbulent flow given here relate to the values in the Moody friction factor chart?

 

 

 

 

 

 

 

 

In external flow, fluid properties are usually evaluated at the film temperature Tfilm. In an internal flow, what temperature is used to evaluate the fluid properties?

 

 

 

 

 

 

 

 

What is the Nusselt number for fully-developed laminar/turbulent flow with constant surface heat flux (= constant) boundary condition? Assume a normal range of Prandtl number.

 

 

 

 

 

 

 

 

What is the Nusselt number for fully-developed, laminar/turbulent flow with constant surface temperature (Ts=constant; isothermal wall) boundary condition? Assume a normal range of Prandtl number.

 

 

 

 

 

 

 

 

What is the impact of surface roughness on friction faction and Nusselt number for fully-developed laminar/turbulent flow?

 

 

 

 

 

 

 

 

How do you predict friction factor and Nusselt number for fully-developed laminar/turbulent flow in tubes or ducts with non-circular cross sections?

 

 

 

 

 

 

 

How do you predict Nusselt number for developing laminar/turbulent flow in tubes or ducts with circular cross-sections, i.e for flow in the entrance region?

 

 

 

 

 

 

 

 

                                                 Instruction to Students

©2003,Don Richards                                                                                                             
These materials may be duplicated for educational purposes if properly credited.

 

 

 

 

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