Search ...
Results
Subscribe
Step-by-Step Solutions
University Majors
Support Hub
Legal & Support Articles
Contact Us
Login
Share
Search ...
Results
Subscribe
Step-by-Step Solutions
University Majors
Support Hub
Legal & Support Articles
Contact Us
Login
Share
Fluid Mechanics
Introduction to Fluid Mechanics
252 SOLVED PROBLEMS
Question: 14.9
A fully loaded aircraft weighing 900 kN has a wing area of 230 m². If the wing has the characteristics of a NACA 23012 airfoil and during takeoff operates at a 6° angle of attack, what is the required takeoff speed at sea level? What is the takeoff speed at an elevation of 2000 m? ...
Verified Answer:
To take off, the lift force must overcome the weig...
Question: 11.11
Figure 11.13 shows a crude hurricane model in which the flow is circular, and the wind speed increases linearly with radius from 0 at the center of the eye to 150 km/h at R = 50 km. Estimate the pressure difference from the eye of the hurricane to the indicated location R. ...
Verified Answer:
Circular flow implies circular streamlines with r p...
Question: 11.10
Consider a constant density fluid in solid body rotation in the absence of body forces as shown in Figure 11.12. Use the Euler equations in streamline coordinates to analyze the direction of pressure change. Use the Euler equations in cylindrical coordinates to confirm your findings. ...
Verified Answer:
The velocity field in solid body rotation is descri...
Question: 11.12
A 2D steady, constant density, inviscid flow of air is described by the velocity field u = Ax, v = −Ay, where A = 1.5 s^−1 and the coordinates are measured in feet. Find the pressure difference between a point at (1, 1, 0) and a point at (2, 2, 0). Are these two points located on the same streamline? ...
Verified Answer:
We are asked to find the pressure difference betwee...
Question: 11.9
The streamlines for the 2D, inviscid, constant density flow over a cylinder are shown in Figure 11.8. The streamfunction for this flow is given in cylindrical coordinates by ψ(r, θ) = U∞r(1− R²/r²)sinθ, where U∞ is the freestream velocity and R is the cylinder radius. If the body force is neglected, ...
Verified Answer:
The streamfunction for a 2D constant density or in...
Question: 11.8
The steady, 2D inviscid flow of an incompressible fluid shown in Figure 11.7 is described by u = kx, v = −ky, w = 0, and p(x, y) = p0 − ρ(k²/2)(x² + y²), where k is a constant, p0 is the pressure at the origin, and body forces have been neglected. This inviscid flow model for a constant density flow ...
Verified Answer:
We will check that the continuity equation for an ...
Question: 11.7
In the Poiseuille flow of a constant density, constant viscosity fluid in a round pipe, (Figure 11.6), the velocity field is given in cylindrical coordinates by u = vrer + vθeθ + vzez with components vr = 0, vθ = 0, and vz(r) = {[R²P(p1 − p2)]/4µL}[1−( r/RP)²]. Find the pressure distribution in this ...
Verified Answer:
The velocity field must satisfy the continuity equa...
Question: 11.5
Consider the flow of an incompressible Newtonian fluid between parallel plates with the top plate moving as shown in Figure 11.4. The velocity field is u = U(y/h)i, where U is the speed of the moving plate and h is the gap between the plates. Find the stresses in this flow. What can the momentum ...
Verified Answer:
We are asked to find the stresses in a given flow an...
Question: 7.18
It is proposed to use high pressure water in the design of a power unit for a rotary cleaning brush. As sketched in Figure 7.30, water enters the inlet of the power unit and exits through N jets. If friction in the inlet bearing and aerodynamic drag are negligible, what is the torque available to ...
Verified Answer:
We will choose a CV enclosing the power unit and r...
Question: 7.17
Water flows steadily at 3 m/s through the vertical offset pipe bend shown in Figure 7.29. The pipe diameter is 10 cm, the upstream gage pressure is 275 kPa, and the pressure drop through the bend is estimated to be 50 kPa. Find the forces that must be exerted by each flange on the pipe bend to keep ...
Verified Answer:
We are asked to determine the forces applied to an...
Loading...
Load More Questions