Fundamentals of Aerodynamics
6th Edition
ISBN: 9781259129919
Author: John D. Anderson Jr.
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 8, Problem 8.4P
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
FLUID FLOW
Example 5: A liquid food with a density of 800 kg/m³ is being transported at a rate
of 5 ton/h through the system shown below. If the pressure at point 1 is 20 kPa
gage, determine the pressure at point 2. Neglect friction losses.
Example 5
P₁ = 20 kPa
D₁ = 0.08 m
6 m
2
FLUID FLOW
P₂ = ?
D₂ = 0.025 m
The modern engineering design and operation of fluid flow processes were developed using the Bernoulli’s principle. The fluid transport conditions, such as flow velocity and pressure in z-direction, can be related using the Bernoulli equation, expressed as
ρ V2/2 + ρ g z + P = constant (Q1)
1. Explain the physical meaning of Bernoulli equation and list any assumptions to
obtain Equation (Q1).
2. Explain the Venturi flow meter developed using the Bernoulli equation.
An incompressible fluid flows between two infinite stationary parallel plates. The velocity profile
is given by u =umax (Ay² + By + C), where A, B, and C are constants and y is measured upward
from the lower plate. The total gap width is h. Use appropriate boundary conditions to express the
constants in terms of h. Develop an expression for volume flow rate per unit depth and evaluate the
ratio V/umax.
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
- 4. Consider a wide liquid film of constant thickness h flowing steadily due to gravity down an inclined plane at angle 0. AS shown in below figure. The atmosphere exerts constant pressure and negligible shear on the free surface. Show that the velocity distribution is given by pg sine u y(2h-y) 2µ and that the volume flow rate per unit width is Q pgh3 sin 0 /3µ. u(y)arrow_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_forwardAt a given point in a flow, T = 700 ◦R, p = 1.6 atm, and V = 2983 ft/s.At this point, calculate the corresponding values of p0, T0, p∗, T ∗, and M∗.arrow_forward
- A 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_forwardIn a tapered horizontal pipeline, the seawater's speed is 3.75 m/s and the gauge pressure is 21 kPa at the first point. Find the gauge pressure at a second point in the line if the cross-sectional area at the second point is thrice that at the first.arrow_forward1 Consider a rapidly rotating (ie, in near geostrophic balance) Boussineq fluid on the f plane. A) Show that the pressure divided by the density scales as Φ ≈ fUL B) Show that the horizontal divergence of the geostrophic wind vanishes. Thus, argue that the scaling W ≈ UH = L is an overestimate for the magnitude of the vertical velocityarrow_forward
- the 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_forwardQ2. The laminar flow of a Newtonian fluid between parallel plates is illustrated in the below figure. The velocity distribution for this flow is : h2 aP V = 8µ ax h The total gap between the plates is 3 cm. The viscosity of the fluid is 0.5 N s/m and the pressure gradient is -1200 N/m?/m. Find the magnitude and direction of the shear stress on the upper plate.arrow_forwardA fire hose has an inside diameter of 6.5 cm. Suppose such a hose carries a water flow of 40.5 L/s starting at a gauge pressure of 1.68 × 106 N/m2 . The hose discharges through a nozzle having an inside diameter of 3.4 cm. Take the viscosity of water to be 1.005 × 10-3 (N/m2)⋅s dh = 6.5 cmdn = 3.4 cmP = 1.68 × 106 N/m2Q = 40.5 L/s a. the Reynolds number, NR, for flow in the fire hose to show that the flow must be turbulent, with NR≥ 3000. b. Calculate the Reynolds number, NR, for flow in the fire hose and nozzle to show that the flow must be turbulent, with NR≥ 3000.arrow_forward
- Q: Consider fully developed laminar flow in the annular space formed by the two concentric cylinders shown in the below diagram. The outer pipe is stationary, and the inner pipe moves in the x direction with speed V For pressure gradient, , and the inner cylinder stationary, let ro = R and r = kR, The velocity profile is ax given by: др + 4μ. θα Find: 1- Volume flow rate (Q). 2- An expression for the average velocity (V) 3- Fork → 0, find Q and V 6arrow_forwardThe figure shows a channel with width of 2.4 m. The density of the water is 1000 kg/m^3. The flow is steady. At the entrance of the channel, the flow is uniform with velocity V (m/s) while at the exit, the flow has developed the shown velocity profile u(y) = 4y-2y^2 (m/s) and y is in (m). Answer the following questions. A)The mass flow rate in (kg/s) at the entrance ? b)The velocity in (m/s) at the inlet ?arrow_forwardA viscous fluid of viscosity 2.48 Pa-s and density 884 kg/m³ is dragged by a rigid flat surface that moves upward with speed V, as shown. The velocity profile in the fluid layer is of the form, pg v(x) = (x? – 2hx) + V Find the minimum speed V for which the entire fluid layer moves upward. What are the minimum and maximum values of the shear stress in the layer? Assume the flow to be incompressible and fully developed. 5 mmarrow_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
Introduction to Kinematics; Author: LearnChemE;https://www.youtube.com/watch?v=bV0XPz-mg2s;License: Standard youtube license