Fundamentals of Aerodynamics
6th Edition
ISBN: 9781259129919
Author: John D. Anderson Jr.
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 8, Problem 8.3P
At a given point in a flow,
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
At a given point in a flow, T = 300 K, p = 1.2 atm, and V = 250 m/s. Atthis point, calculate the corresponding values of p0, T0, p∗, T ∗, and M∗.
R₂ = 20 mm
Flow-
Liquid
p= 1000 kg/m³
μ = 0.02 Pa s
Ri. A
Ro
A liquid flows through the space between a small rod and a pipe, as shown in diagram below.
The outer radius of the pipe is R₁, the inner radius of the rod is R₁, and the ratio λ
pressure difference per unit length (Ap/L) of 2000 Pa/m is applied to drive the fluid flow. The
liquid has a viscosity of μ = 0.02 Pa's.
Q = π
If the equation of volumetric flow rate (Q) of the liquid, is given as
ApR" ApR" (Ri
8μ L 8μ L
+
-20%
4
R
R₁ = AR₁ = 10 mm
+
Ro
Ri
(A) What should be the value of "n", for the equation above to be dimensionally consistent? Use
dimensional analysis.
n
(1-2²)² ApR"
8μ L
In
==.
(B) Calculate the value of volumetric flow rate in cubic meter per second when r = (Ro+
R₁)/2, and Ro = 20mm, R₁ = 10mm. Report your result with three significant figures.
The velocity profile of a liquid flows through the z direction of the vertical tube (figure right)
with the radius ro is given as;
r
1 dp
Vz =
(r² – r3)
2µ dz
Specify the maximum velocity and derive an expression for the average velocity.
Chapter 8 Solutions
Fundamentals of Aerodynamics
Ch. 8 - Consider air at a temperature of 230 K. Calculate...Ch. 8 - The temperature in the reservoir of a supersonic...Ch. 8 - At a given point in a flow, T=300K,p=1.2atm, and...Ch. 8 - At a given point in a flow, T=700R,p=1.6atm, and...Ch. 8 - Consider the isentropic flow through a supersonic...Ch. 8 - Consider the isentropic flow over an airfoil. The...Ch. 8 - The flow just upstream of a normal shock wave is...Ch. 8 - The pressure upstream of a normal shock wave is 1...Ch. 8 - The entropy increase across a normal shock wave is...Ch. 8 - The how just upstream of a normal shock wave is...
Ch. 8 - Consider a flow with a pressure and temperature of...Ch. 8 - Consider a flow with a pressure and temperature of...Ch. 8 - Repeat Problems 8.11 and 8.12 using (incorrectly)...Ch. 8 - Derive the Rayleigh Pitot tube formula, Equation...Ch. 8 - On March 16, 1990, an Air Force SR-71 set a new...Ch. 8 - In the test section of a supersonic wind tunnel, a...Ch. 8 - When the Apollo command module returned to earth...Ch. 8 - The stagnation temperature on the Apollo vehicle...Ch. 8 - Prove that the total pressure is constant...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The velocity profile of a liquid flows through the z direction of the vertical tube (figure right) with the radius n is given as; 1 dp (r2 – r3) 2µ dz Vz Specify the max imum velocity and derive an expression for the average velocity.arrow_forwardAir flows at 700 m/s through a long duct in a wind tunnel, where the temperature is 15°C and the absolute pressure is 90 kPa. The leading edge of a wing in the tunnel is represented by the 8° wedge. The angle of attack is set at a = 1.5°. (Figure 1) Figure 700 m/s 4° Ja 4° 1 of 1 Part A Determine the pressure created on its top surface. Express your answer to three significant figures and include the appropriate units. p= O D Submit Value μA Provide Feedback Request Answer 20 Units ? Next >arrow_forwardWater is flowing in a fire hose from point A with a velocity of 10 m/s and a pressure of 300 kPa as illustrated in figure below. There is changes in height of 20 m from point A to B. The velocity at point A and B is the same. Use the Bernoulli equation to calculate the pressure of the water at point B and C respectively. The density of water is 1000 kg/m³ and gravity is 9.8 m/s?. VA = 10m/s A = 3m? A Pa = 300kPa h= 20m B C Ac = 6m? Ag = 3m?arrow_forward
- Problem (3) Find the rate of change of h(t) (mm/s) if water is the fluid at all locations. Use V₁ = 7.1 m/s and Q = 1000 L/min. m₂ = 10 kg/s 4 cm dia. V₁ Answer: 120 cm h(t) 8arrow_forwardthe velocity principle of a given fluid flowing over a flat plate is given by = 2y – y 2 , where u in inches and y in inches .find shear stress at y = 0 and 1 ,respectively , if the fluid viscosity is 0.006 lbf s/ft 2 .arrow_forwardA constant-thickness film of viscous liquid (SG = 0.8, μ = 0.5 Pa-s) flows down an inclined plate an angle of 10⁰ as shown in the figure The velocity profile is given by the equation, u(y) = Cy(2h — y). If the value of his 5 cm, what is the value of the maximum velocity in m/s? NOTE: The pressure does not vary along the flow direction. u(y) Answer:arrow_forward
- what will be the pressure gradient (kpa/m) at L=30 cm through the nozzle? At L=0, the liquid flows inside the nozzle has a specific gravity S=6.1, at L=0, the velocity is 2 m/s while at L=70 cm, the velocity is 6 m/s. Assume steady and inviscid flow. The velocity varies linearly with distance through the nozzle. 70 cm mis 2ns 60 cm Liquidarrow_forwardYour team is designing a chemical processing plant. You are the liquid handling and transportation specialist, and you need to transport a solvent (μ = 3.1 cP, ρ = 122k kg/m3) from a storage tank to a reaction vessel. Due to other equipment constraints, the fluid velocity must be 0.8 m/sec, and you must use stainless steel piping (ε = 0.00015 mm) with a total length (L) of 12 m. Determine the pipe inner diameter (ID) you will need to achieve a pressure drop of 0.3 kPa. Use the Moody chart.arrow_forwardFor a flow in the xy plane, the x component of the velocity is given as u=3x2y-y3. Determine the y component for steady state and incompressible flow. Does this result also apply to unstable, incompressible flow? Why is that? How many possible y components are there? Discuss.arrow_forward
- (1) Basic Concepts Show that a stress and a momentum flux have the same unit by showing that a force and the rate of momentum change or transfer have the same unit. (2) Overall Mass Balance Equation An incompressible fluid is flowing through a circular conduit, as shown in the figure below Fig P1.2-1. The velocity profile of the fluid in the 8-cm-diameter pipe is v, = 0.1 ст/s What is the average velocity in the 2-cm-diameter pipe? 2cm 8cm Tube (3) Overall Momentum Balance Equation Ahorizontal turbulent liquid jet of diameter Dand average velocity v, impinges on a vertical plate mounted on a cart, thus exerting a force F on a plate, as shown in Fig. P1.4-3. Determine the opposing force needed to keep the plate moving at a constant velocity v, (< v). Neglect the viscous and gravity forces. (Hint: Let the control volume Q move with the plate) Plate Nozzle 1|Page (4) Differential Momentum Balance Equation Consider the incompressible Newtonian fluid flowing, under the pressure gradient…arrow_forward2. The figure shows four cylinders of various diameters filled to different heights with water. A hole in the side of each cylinder is plugged by a cork. All cylinders are open at the top. The corks are removed. Which of the following is the correct ranking of the velocity of the water (v) as it exits each cylinder? B D 2x 2h 2h D/2 (A) VA > VD > vc > VB (B) VA = VD > vc > VB (C) VB > Vc > VA = VD (D) vc > VA = VB = VDarrow_forwardQuestion 2. An incompressible fluid flows steadily in the entrance region of a two dimensional channel of height 2h. Density of the fluid is 1.24 kg/m3. The uniform velocity at the channel entrance is U1=5.3m/s The velocity distribution at a section downstream is: 1- ()* и Umax Find out the maximum velocity umax in the downstream section in (m/s).arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Intro to Compressible Flows — Lesson 1; Author: Ansys Learning;https://www.youtube.com/watch?v=OgR6j8TzA5Y;License: Standard Youtube License