Starting with a 2D airfoil that produces the following upper and lower velocity distributions: Ulower =...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Starting with a 2D airfoil that produces the following upper and lower velocity distributions: Ulower = U (1 + 1.3x.5 (1 x)) Uupper = Uo(1+ 3.1x05 (1-x)) A. Plot the incompressible pressure coefficients on the upper and lower surfaces B. Apply the Prandtl-Glauert correction to the incompressible pressure coefficients, plot the compressible pressure coefficients on the upper and lower surfaces for Mach 0.6 flow, and calculate the lift coefficient. C. Calculate the critical pressure coefficient for Mach 0.6 flow and then plot this limit on top of your compressible pressure coefficients. Show that a shock occurs on your upper surface. D. Calculate the value of the minimum Cp value and locate its x position. E. Using the equation: CP.A 2 YM (PA :- 1) calculate the max Mach number at the location of the minimum Cp value. F. Using the value of your maximum Mach number, what is the value of the subsonic Mach number immediately after your normal shock. G. Calculate the Cp value for the subsonic March number immediately after your normal shock. H. Estimate the lift coefficient loss caused by the presence of the transonic shock. Draw a vertical line from the min Cp to the Cp value at the end of the normal shock. Draw a horizontal line at the Cp value at the end of the normal shock until it intersects the Cp distribution on the downstream side. Integrate this area. 1. Make up for this lift coefficient loss by "adding" an equivalent amount of lift to the lower surface. Modify the velocity distribution on the lower surface to restore your lift coefficient to its intended unshocked value. Congratulation! You have just inversely designed your first transonic airfoil. Now if only you could describe its actual shape!! You can start by trying something like: Ulower = U (1+ (1.3x.5(1 x)) * K * sin(Lx)) Ulower = U (1 + (1.3x.5(1 x)) * K * sin(Lx)) Where K and L are scalar constants. But don't be afraid to try other more interesting functions!! -Ve Clarit Cpmin DC== x=1 (Pupper of -Ve Clarit Cp at Mend of shack Cpmin Xa 'CPMIN DC== x=1 X=1 CL transanic = Compressible sez Pupper of shoul Starting with a 2D airfoil that produces the following upper and lower velocity distributions: Ulower = U (1 + 1.3x.5 (1 x)) Uupper = Uo(1+ 3.1x05 (1-x)) A. Plot the incompressible pressure coefficients on the upper and lower surfaces B. Apply the Prandtl-Glauert correction to the incompressible pressure coefficients, plot the compressible pressure coefficients on the upper and lower surfaces for Mach 0.6 flow, and calculate the lift coefficient. C. Calculate the critical pressure coefficient for Mach 0.6 flow and then plot this limit on top of your compressible pressure coefficients. Show that a shock occurs on your upper surface. D. Calculate the value of the minimum Cp value and locate its x position. E. Using the equation: CP.A 2 YM (PA :- 1) calculate the max Mach number at the location of the minimum Cp value. F. Using the value of your maximum Mach number, what is the value of the subsonic Mach number immediately after your normal shock. G. Calculate the Cp value for the subsonic March number immediately after your normal shock. H. Estimate the lift coefficient loss caused by the presence of the transonic shock. Draw a vertical line from the min Cp to the Cp value at the end of the normal shock. Draw a horizontal line at the Cp value at the end of the normal shock until it intersects the Cp distribution on the downstream side. Integrate this area. 1. Make up for this lift coefficient loss by "adding" an equivalent amount of lift to the lower surface. Modify the velocity distribution on the lower surface to restore your lift coefficient to its intended unshocked value. Congratulation! You have just inversely designed your first transonic airfoil. Now if only you could describe its actual shape!! You can start by trying something like: Ulower = U (1+ (1.3x.5(1 x)) * K * sin(Lx)) Ulower = U (1 + (1.3x.5(1 x)) * K * sin(Lx)) Where K and L are scalar constants. But don't be afraid to try other more interesting functions!! -Ve Clarit Cpmin DC== x=1 (Pupper of -Ve Clarit Cp at Mend of shack Cpmin Xa 'CPMIN DC== x=1 X=1 CL transanic = Compressible sez Pupper of shoul
Expert Answer:
Related Book For
Fixed Income Securities Valuation Risk and Risk Management
ISBN: 978-0470109106
1st edition
Authors: Pietro Veronesi
Posted Date:
Students also viewed these mechanical engineering questions
-
QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...
-
a. Example 13-1: Batch Reactor with an Exothermic Reaction Wolfram 1. Adiabatic Case: Use Wolfram to see whether you can find a trajectory that is ready to ignite and whose trajectory looks like a...
-
The top ten fiction books on The New York Times Best Sellers List on October 9, 2016, are listed. 1. The Girl on the Train 2. Home 3. The Kept Woman 4. Magic Binds 5. Commonwealth 6. The Light...
-
1. Per the city's schedule of long-term obligations, what is the total long-term obligation for both governmental and business-type activities? Does this amount reconcile with the long-term...
-
Hospital administrators in large cities anguish about problems with traffic in emergency rooms in hospitals. For a particular hospital in a large city, the staff on hand cannot accommodate the...
-
A capacitor consisting of two concentric spheres and one consisting of two coaxial cylinders both have an inner radius of \(10.0 \mathrm{~mm}\) and an outer radius of \(30.0 \mathrm{~mm}\). If the...
-
1. Is recruiting nurses abroad a good idea for U.S. hospitals facing worker shortages? 2. Can you think of any cultural problems U.S. hospitals might encounter as a result? 3. What long-term...
-
(a) X Ltd. is studying the possible acquisition of Y Ltd. by way of merger. The following data are available in respect of both the companies. Particulars Market Capitalization (Rs.) Gross Profit...
-
The article What Readers Say about Marijuana (Parade, July 31, 1994, p. 16) reported More than 75% of the readers who took part in an informal PARADE telephone poll say marijuana should be as legal...
-
Fourth assignment Write a report documenting your experiences with installing and using the ERP system (including demo and complex business process). Present features the ERP system Provide a...
-
In vectored exception handling, the table of exception handler addresses is in data memory at a known (fixed) address. Change the pipeline to implement this exception handling mechanism. Repeat...
-
Design a Johnston two-band filter bank with at least \(60 \mathrm{~dB}\) of stopband attenuation.
-
If the interquartile range is zero, you can conclude that: (1) the range must also be zero (2) the mean is also zero (3) at least 50% of the observations have the same value (4) all of the...
-
P(E c |B) Find the indicated probabilities by referring to the given tree diagram and by using Bayess Rule. A P(A) = 0.2 P(E|A)=0.6 E P(ECA) = 0.4 -EC P(B) = 0.55 P(E|B)=0.7 -E B EC P(E|B) = 0.3 P(C)...
-
Prove the identity \((\sigma \cdot \boldsymbol{p})^{2}=\mathrm{I}^{(2)} p^{2}\), where \(\sigma=\left(\sigma_{1}, \sigma_{2}, \sigma_{3} ight)\) are the Pauli matrices, \(\boldsymbol{p}\) is the...
-
A random process X(t) is given by X(t) = A sin(uwt+ 0), where A is a uniformly distributed random variable with mean E[A] and variance Var(A). Then, the variance value of X(t) is a O Var(A) sin? (wt+...
-
Today is September 25, 2008. Table 15.4 in Chapter 15 contains the STRIPS data today. According to the Vasicek model, is there any trading opportunity? Fit the Vasicek model to the data, find pricing...
-
Today is November 3, 2008, and the 3-month LIBOR and (interpolated) swap rates are as in Table 19.4. (a) Obtain the LIBOR yield curve from the swap rates.7 (b) Let be the historical volatility of...
-
Using Tables 4.8 and 4.9, compute the factor duration of level, slope, and curvature, for each of the following securities on February 15, 1994: (a) 4-year zero coupon bond (b) 2 1/2-year coupon bond...
-
Determine whether each of the following statements is true or false: Management accountants should be technically proficient, but they dont need strong oral and written communication skills.
-
Determine whether each of the following statements is true or false: The Association of International Certified Professional Accountants (AICPA) issues the Certified Management Accountant (CMA)...
-
Determine whether each of the following statements is true or false: The Sarbanes-Oxley Act of 2002 (SOX) imposes stricter requirements for financial reporting and internal controls and stricter...
Study smarter with the SolutionInn App