Consider laminar flow entering a tube. Before the fluid enters, the velocity profile is constant and equal to to. The tube diameter is D and radius R. You are interested in estimating how much distance the fluid must travel into the tube before the classic Poiseuille parabolic velocity profile is established- this distance is called the "entrance length" or Zent. Using boundary layer theory, which of the following would be a reasonable estimate? (Hint: assume as flow enters the tube, you can model the growing viscous boundary layer as laminar flow over a flat plate, and note that the Reynolds number for a tube is Rep Dee where v= %3D Zent = (Rep) Zent = D (Rep)2 Zent =. Rep %3D O Zent = R-Rep O None of the above.
Consider laminar flow entering a tube. Before the fluid enters, the velocity profile is constant and equal to to. The tube diameter is D and radius R. You are interested in estimating how much distance the fluid must travel into the tube before the classic Poiseuille parabolic velocity profile is established- this distance is called the "entrance length" or Zent. Using boundary layer theory, which of the following would be a reasonable estimate? (Hint: assume as flow enters the tube, you can model the growing viscous boundary layer as laminar flow over a flat plate, and note that the Reynolds number for a tube is Rep Dee where v= %3D Zent = (Rep) Zent = D (Rep)2 Zent =. Rep %3D O Zent = R-Rep O None of the above.
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 laminar flow entering a tube. Before the fluid enters, the velocity profile is constant and
equal to to. The tube diameter is D and radius R. You are interested in estimating how much
distance the fluid must travel into the tube before the classic Poiseuille parabolic velocity profile is
established - this distance is called the "entrance length" or Zent- Using boundary layer theory,
which of the following would be a reasonable estimate? (Hint: assume as flow enters the tube, you
can model the growing viscous boundary layer as laminar flow over a flat plate, and note that the
De where v =
Reynolds number for a tube is Rep
%3D
Zent = (Rep)
Zent = D 2
(Rep)
Zent = 2. Rep
- Rep
O Zent
R-Rep
%3D
O None of the above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ac0706d-d597-4750-95e0-3464b5c8221e%2F0d68b917-d1ef-41db-b3c5-be3cecff9080%2Fykwucvb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider laminar flow entering a tube. Before the fluid enters, the velocity profile is constant and
equal to to. The tube diameter is D and radius R. You are interested in estimating how much
distance the fluid must travel into the tube before the classic Poiseuille parabolic velocity profile is
established - this distance is called the "entrance length" or Zent- Using boundary layer theory,
which of the following would be a reasonable estimate? (Hint: assume as flow enters the tube, you
can model the growing viscous boundary layer as laminar flow over a flat plate, and note that the
De where v =
Reynolds number for a tube is Rep
%3D
Zent = (Rep)
Zent = D 2
(Rep)
Zent = 2. Rep
- Rep
O Zent
R-Rep
%3D
O None of the above.
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