Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 15, Problem 44CP
For each statement, choose whether the statement is e or false. and discuss your answer brieflv
(a) The physical validity of a CFD solution always improves as the grid is refined.
(b) The x-component of the Navier-Stokes equation is an example of a transport equation.
(c) For the same number of nodes m a two-dimensional mesh, a structured grid typically has fewer cells than an unstructured triangular
(d) A time-averaged turbulent flow CFD solution is only as good as the turbulence model used in the calculations.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
3.) Transport review: For steady-state flow of water in a stationary pipe of radius R, simplify
the Navier-Stokes equation to a simple 2nd order ODE. Assume a pressure drop AP over the
length of the pipe (L). What are two boundary conditions that can be used? Do not solve.
PLS SHOW ME FULL STEPS SIR
PLS ANSWER WITHIN 30 MIN SIR
SUBJECT (FLUID MECH 2)
A boundary layer is a thin region (usually along a wall) in which viscous forces are significant and within which the flow is rotational. Consider a boundary layer growing along a thin flat plate. The flow is steady. The boundary layer thickness ? at any downstream distance x is a function of x, free-stream velocity V∞, and fluid properties ? (density) and ? (viscosity). Use the method of repeating variables to generate a dimensionless relationship for ? as a function of the other parameters. Show all your work.
Chapter 15 Solutions
Fluid Mechanics: Fundamentals and Applications
Ch. 15 - A CFD code is used to solve a two-dimensional (x...Ch. 15 - Write a brief (a few sentences) definition and...Ch. 15 - What is the difference between a node and an...Ch. 15 - Prob. 4CPCh. 15 - Prob. 5CPCh. 15 - Prob. 6CPCh. 15 - Prob. 7CPCh. 15 - Write a brief (a few sentences) discussion about...Ch. 15 - Prob. 9CPCh. 15 - Prob. 10CP
Ch. 15 - Prob. 11CPCh. 15 - Prob. 13CPCh. 15 - Prob. 14CPCh. 15 - Prob. 15CPCh. 15 - Prob. 16PCh. 15 - Prob. 17PCh. 15 - Prob. 18PCh. 15 - Prob. 19PCh. 15 - Prob. 20PCh. 15 - Prob. 21PCh. 15 - Prob. 22PCh. 15 - Prob. 23PCh. 15 - Prob. 24PCh. 15 - Prob. 25PCh. 15 - Prob. 26PCh. 15 - Prob. 27PCh. 15 - For each statement, choose whether the statement...Ch. 15 - Prob. 45CPCh. 15 - Gerry creates the computational domain sketched in...Ch. 15 - Think about modem high-speed, large-memory...Ch. 15 - What is the difference between mulugridding and...Ch. 15 - Suppose you have a fair) comp1c geometry and a CFD...Ch. 15 - Generate a computational domain and grid, and...
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
- Please do it carefully and all the three parts I'll like your solutionarrow_forwardWhich dimensionless parameter does not appear in the nondimensionalized Navier–Stokes equation? (a) Reynolds number (b) Prandtl number (c) Strouhal number (d ) Euler number (e) Froude numberarrow_forwardAs shown in the following figure, vortices are shed from the rear of a bluff cylinder placed across a flow. The vortices alternately leave the top and bottom of the cylinder, causing an alternating force normal to the freestream velocity. The vortex shedding frequency, f, depends on the fluid density p, width of the cylinder d, freestream velocity V, and fluid viscosity u. (a) Use Buckingham Pi Theorem to develop a functional relationship for f. Use M, L, t as the primary dimensional. Use p, V, and d as the repeating parameters. (b) Vortex shedding occurs in standard air on two cylinders with a diameter ratio of 2. Determine the velocity ratio for dynamic similarity, and the ratio of vortex shedding frequencies. -Vortices Varrow_forward
- One model of the glomerular membrane is a microporous membrane in which right cylindrical porespenetrate all the way through the membrane. Assume that the pores have a length of 50 nm and aradius of 3.5 nm. The viscosity of plasma is 0.002 Pa s. The average hydrostatic pressure in theglomerulus is 60 mm Hg, hydrostatic pressure in Bowman’s space is 20 mm Hg and the averageoncotic pressure of glomerular capillary blood is 28 mm Hg.A. Calculate the flow through a single pore assuming laminar flow (use the Poiseuille flowequation).B. How many pores would there have to be to produce a normal GFR?C. If the total aggregate area of the kidneys for filtration is 1.5 m2, what is the density of thepores (number of pores per unit area)D. What fraction of the area is present as pores?arrow_forwardConsider a boundary layer growing along a thin flat plate. This problem involves the following parameters: boundary layer thickness ? , downstream distance x, free-stream velocity V, fluid density ? , and fluid viscosity ? . The number of primary dimensions represented in this problem is (a) 1 (b) 2 (c) 3 (d ) 4 (e) 5arrow_forwardWhen a steady uniform stream flows over a circular cylinder, vortices are shed at a periodic rate. These are referred to as Kármán vortices. The frequency of vortex shedding få is defined by the free-stream speed V, fluid density p, fluid viscosity u, and cylinder diameter D. Use the Buckingham Pi method to show a dimensionless relationship for Kármán vortex shedding frequency is St = f (Re). Show all your work. V Darrow_forward
- A stirrer is used to mix chemicals in a tank let tank diameter Dtank and average liquid depth htank. The shaft power W . supplied to the stirrer blades is a function of stirrer diameter D, liquid density ? ,liquidviscosity ? , and the angular velocity ? of the spinning blades.Use the method of repeating variables to generate a dimensionless relationship between these parameters. Show all your work and be sure to identify your Π groups, modifying them as necessary.arrow_forwardi need the answer quicklyarrow_forwardnot only tell correct answer but also provide proper explanationarrow_forward
- In the study of turbulent flow, turbulent viscous dissipation rate ? (rate of energy loss per unit mass) is known to be a function of length scale l and velocity scale u′ of the large-scale turbulent eddies. Using dimensional analysis (Buckingham pi and the method of repeating variables) and showing all of your work, generate an expression for ? as a function of l and u′.arrow_forwardI want handwritten don't copy from chegg same to same change it even if u copy and handwritten onlyarrow_forwardShip whose full length is 100 m is to travel at 10 m/sec. For dynamical similarity, with what velocity should a 1:25 model of the ship be towed?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning
Principles of Heat Transfer (Activate Learning wi...
Mechanical Engineering
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Cengage Learning
Unit Conversion the Easy Way (Dimensional Analysis); Author: ketzbook;https://www.youtube.com/watch?v=HRe1mire4Gc;License: Standard YouTube License, CC-BY