Homework Answers
Add Answer to:
2) The viscous boundary layer velocity profile shown in following figure can be approximated by a...
A laminar boundary layer can be approximated by a velocity profile consisting in two linear segments, as shown in Fig. 2...
A laminar boundary layer can be approximated by a velocity
profile consisting in two linear segments, as shown in Fig.
2.
Problem 2 A laminar boundary layer can be approximated by a velocity profile consisting in two linear seg- ments, as shown in Fig. 2 S/2 2U 3 U Figure 2: Boundary layer profile. Using the momentum integral method, determine the boundary layer height 6 (z) and the wall shear stress distribution TuTu (r). Compare your results with the Blasius...
A fluid flow over a solid surface with a laminar boundary layer velocity profile is approximated...
A fluid flow over a solid surface with a laminar boundary layer velocity profile is approximated by the following equation: Ý = 2 () – ()* for y so and, 4 = 0 for y> 8 i). Show that this velocity profile satisfies the appropriate boundary conditions. ii) Determine the boundary layer thickness, 8 = 8(x) by using the momentum integral equation for the equation in Question 3(b)(i).
The velocity profile for a turbulent boundary layer over a flat plate is to be approximated...
The velocity profile for a turbulent boundary layer over a flat plate is to be approximated by the expression и an"* +b7072 where n=y/8 U a) (10P) Evaluate the coefficients a and b b) (20P) Obtain an expression for 8/x c) (5P) Obtain an expression for shear stress coefficient Cf. d) (5P) Draw velocity profile precisely.
(b) For a laminar boundary layer on a flat plate the velocity profile uly) is given...
(b) For a laminar boundary layer on a flat plate the velocity profile uly) is given by 0-30:48) where U is the free stream velocity, y is the distance measured normal to the surface of the plate and is the boundary layer thickness. Determine equations for (i) the momentum thickness , and (8 marks) (ii) the boundary layer thickness d. (7 marks)
2. For a boundary layer flow with U suction velocity Vo (0 is introduced at the...
2. For a boundary layer flow with U suction velocity Vo (0 is introduced at the wall to delay flow separation. (a) By integrating the boundary layer equations from porous wall across the boundary layer, show that the integral momentum equation is given by -constant over a porous plate as shown in Figure 1, a Ou where τνν-μ w- 1 оу y-o and (b) obtain the integral energy equation. (c) Perform the dimensionless analysis on the integral equations and discuss...
As shown in Fig. 1, the local velocity profile on a flat plate boundary layer is...
As shown in Fig. 1, the local velocity profile on a flat plate boundary layer is uz(x, y)/V = an+bn', where 7 = y/8(x) is a non-dimensional vertical coordinate, 8(x) is the boundary-layer 00 thickness, x is the streamwise coordinate, y is the coordinate normal to the wall, and V is the freestream velocity. (a) Calculate the local skin friction drag using the following momentum integral formula (Hint: x and 8(x) are treated as constants in the integral) (15 points)...
4. Air flows around a flat-bottomed airfoil shown in the figure. The air velocity at the...
4. Air flows around a flat-bottomed airfoil shown in the figure. The air velocity at the edge of the boundary layer at the bottom is the free stream velocity, U, and at the top it is u(x). Determine the lift coefficient, CL , for this flow if u²(x) = U u = ulx) P, u(x) U pol
help a) Consider the general sinusoidal velocity profile inside a boundary layer: их Ay2 + By...
help
a) Consider the general sinusoidal velocity profile inside a boundary layer: их Ay2 + By + C U Boundary layer thickness is 8. State three boundary conditions applicable to the boundary- layer velocity profile and determine the constants A, B and C in terms of boundary layer thickness o [10 points]
Consider laminar flow of an incompressible fluid past a flat plate. The boundary layer velocity profile...
Consider laminar flow of an incompressible fluid past a flat plate. The boundary layer velocity profile is given as u = U sin () a. Determine the boundary layer thicknesses 8, 8, as a function of x. Express in terms of Reynolds number. b. Using momentum integral theory, determine the wall shear stress tw, as a func. of x. Express in terms of Reynolds number. C. Determine the friction drag coefficient, Cof-
A aby - A S'E S F - X, X A E T 2 + B...
A aby - A S'E S F - X, X A E T 2 + B AaBbCcDc AaBbCcDc AaBbC AaBbcc Aai T Normal No Spaci.. Heading1 Heading 2 Title Font Paragraph Styles You have a viscous flow over a flat plate. Now consider the boundary layer velocity profile as the flow rotational or irrotational? Calculate the shear stress at the wall. = Is Note that u(y) is the free stream velocity, u is the velocity component along the x direction...
A laminar boundary layer can be approximated by a velocity
profile consisting in two linear segments, as shown in Fig.
2.
Problem 2 A laminar boundary layer can be approximated by a velocity profile consisting in two linear seg- ments, as shown in Fig. 2 S/2 2U 3 U Figure 2: Boundary layer profile. Using the momentum integral method, determine the boundary layer height 6 (z) and the wall shear stress distribution TuTu (r). Compare your results with the Blasius...
A fluid flow over a solid surface with a laminar boundary layer velocity profile is approximated by the following equation: Ý = 2 () – ()* for y so and, 4 = 0 for y> 8 i). Show that this velocity profile satisfies the appropriate boundary conditions. ii) Determine the boundary layer thickness, 8 = 8(x) by using the momentum integral equation for the equation in Question 3(b)(i).
The velocity profile for a turbulent boundary layer over a flat plate is to be approximated by the expression и an"* +b7072 where n=y/8 U a) (10P) Evaluate the coefficients a and b b) (20P) Obtain an expression for 8/x c) (5P) Obtain an expression for shear stress coefficient Cf. d) (5P) Draw velocity profile precisely.
(b) For a laminar boundary layer on a flat plate the velocity profile uly) is given by 0-30:48) where U is the free stream velocity, y is the distance measured normal to the surface of the plate and is the boundary layer thickness. Determine equations for (i) the momentum thickness , and (8 marks) (ii) the boundary layer thickness d. (7 marks)
2. For a boundary layer flow with U suction velocity Vo (0 is introduced at the wall to delay flow separation. (a) By integrating the boundary layer equations from porous wall across the boundary layer, show that the integral momentum equation is given by -constant over a porous plate as shown in Figure 1, a Ou where τνν-μ w- 1 оу y-o and (b) obtain the integral energy equation. (c) Perform the dimensionless analysis on the integral equations and discuss...
As shown in Fig. 1, the local velocity profile on a flat plate boundary layer is uz(x, y)/V = an+bn', where 7 = y/8(x) is a non-dimensional vertical coordinate, 8(x) is the boundary-layer 00 thickness, x is the streamwise coordinate, y is the coordinate normal to the wall, and V is the freestream velocity. (a) Calculate the local skin friction drag using the following momentum integral formula (Hint: x and 8(x) are treated as constants in the integral) (15 points)...
4. Air flows around a flat-bottomed airfoil shown in the figure. The air velocity at the edge of the boundary layer at the bottom is the free stream velocity, U, and at the top it is u(x). Determine the lift coefficient, CL , for this flow if u²(x) = U u = ulx) P, u(x) U pol
help
a) Consider the general sinusoidal velocity profile inside a boundary layer: их Ay2 + By + C U Boundary layer thickness is 8. State three boundary conditions applicable to the boundary- layer velocity profile and determine the constants A, B and C in terms of boundary layer thickness o [10 points]
Consider laminar flow of an incompressible fluid past a flat plate. The boundary layer velocity profile is given as u = U sin () a. Determine the boundary layer thicknesses 8, 8, as a function of x. Express in terms of Reynolds number. b. Using momentum integral theory, determine the wall shear stress tw, as a func. of x. Express in terms of Reynolds number. C. Determine the friction drag coefficient, Cof-
A aby - A S'E S F - X, X A E T 2 + B AaBbCcDc AaBbCcDc AaBbC AaBbcc Aai T Normal No Spaci.. Heading1 Heading 2 Title Font Paragraph Styles You have a viscous flow over a flat plate. Now consider the boundary layer velocity profile as the flow rotational or irrotational? Calculate the shear stress at the wall. = Is Note that u(y) is the free stream velocity, u is the velocity component along the x direction...
Most questions answered within 3 hours.
-
Suppose that Alicia has $30,000 in invested as follows: $10,000
in TJX Cos., $15,000 in Macy’s,...
asked 3 minutes ago -
Volunteer Pharmaceuticals (VP) wants to set aside money in the
R&D fund to seek supplemental drug...
asked 4 minutes ago -
What is precedent?
an order by the court.
the power of a court to overrule a...
asked 10 minutes ago -
Classify the tonicity of a solution made by dissolving 12mg of
sodium chloride in 1.0mL of...
asked 16 minutes ago -
Consider the equilibrium reaction: 2A (aq) + 3B (aq) <-->
C (aq) (in my notation <-->...
asked 17 minutes ago -
A recent poll found that 21% of a random sample of 1200 people
lost jobs due...
asked 23 minutes ago -
Indicate whether aqueous solutions of the following substances
contain ions. If so, write formulas for the...
asked 19 minutes ago -
Include at least one psychology theory, model or concept
discussed in Chapter 1, 2 or the...
asked 28 minutes ago -
Need help in drawing out a map pathway of pentose phosphate
pathway and pyruvate dehydrogenase/citric acid...
asked 36 minutes ago -
Question 1
At the end of Year 6,
South Co.'s tax department estimates that they will...
asked 38 minutes ago -
Use standard enthalpies of formation to determine
ΔHorxn for:
1. 3NO2(g) + H2O(l) → 2HNO3(aq)
+...
asked 42 minutes ago -
Abigail Adams was hired as an associate professor of economics
at Heartland University. She was the...
asked 44 minutes ago
> du/dy is wrong in the solution. It will be: a + b(1/d) + c(2y/d^2). You have written: a + b(1/d) + c(2y/d).
MT 16 Mon, Jan 31, 2022 4:20 AM