Consider a potential flow describing a uniform flow around a rotating cylinder. It is rotating such that there are two stagnation points that are 90° apart. Write an expression for the pressure on the surface of the cylinder as a function of 0? Your answer should be in terms of the upstream velocity Uo, upstream pressure po, and fluid density p? Note that your answer should not have either I or the cylinder radius a.

Consider a potential flow describing a uniform flow around a rotating cylinder. It is rotating such that there are two stagnation points that are 90° apart. Write an expression for the pressure on the surface of the cylinder as a function of 0? Your answer should be in terms of the upstream velocity Uo, upstream pressure po, and fluid density p? Note that your answer should not have either I or the cylinder radius a.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

please answer quickly
A tornado in atmospheric air is simulated by a CCW free vortex as a potential flow field. The velocity measured at r = 1 m from the center is 60 m/s. Determine the magnitude of dynamic pressure P at r = 10 m . (Use pi number = 3 , Air density = 1 .0 kg/m3 )ANSWER: P= 18 Pa
5. Consider a Pitot probe in high-speed flow.(a) Give the value of the stagnation pressure to the freestream pressure p0/p∞ for airand M∞ = 1. Assume stagnation is reached isentropically.(b) How is the value found in part (a) important for Pitot problems? As part ofyour discussion, include what the flow field looks like for different cases and thedifferent assumptions that have to be made.
(a) Use the y-momentum equation to show that the pressure gradient across the boundary layer is approximately zero i.e. = 0 . Assume the boundary layer to be a two-dimensional ду steady and incompressible flow. Neglect gravitational forces. State clearly all assumptions made. Use the Bernoulli's equation to prove that the pressure difference is given by (b) P2-P1 = -4pU? for a fluid with constant density p flowing from point 1 to point 2 where pi, U1, A1 are the pressure, velocity and flow cross-section area at point 1 and p2, U2, A2 are the pressure, velocity and flow cross-section area at point 2 respectively. The ratio of the cross-section area A1 = 3.
solve 20-30 mins i'll give you multiple upvote( handwritten asap)How can I solve the problem below in viscous fluid flow?
Solve it quickly and correctly
Give me right solution according to the question. Consider the flow along a streamline below. The velocity along streamline is given by V=(0. 4 S2 ) e-4t m/s. At t=2s, what is the velocity component along n-axis at the Point A? The radius of curvature at Point A is R=0.5 m
For the flow field described by V = 2xyi − 3y2j. (a) Is the flow field incompressible? (b) Is the flow field steady? (c) Is the flow field two- or three-dimensional? (d) Find the angle the streamline makes that passes through the point (3, −2). (e) Find the acceleration of the flow field.
Subject: Fluid Dynamics Find the lift force of potential flow a half cylinder. please help me check my solution and verify the answer.
The streamlines in a particular two-dimensional flow field are all concentric circles, as shown in Fig. 5 the equation v, = wr where w is the angular velocity of the rotating mass of fluid. Determine the circulation around the path ABCD. The velocity is given by B Figure 5
Investigate the velocity potential ϕ = Kxy , K = constant.Sketch the potential lines in the full xy plane, fi nd any stagnationpoints, and sketch in by eye the orthogonal streamlines.What could the fl ow represent?
An incompressible fluid flows past an impermeable flat plate, as in Fig. . , with a uniform inlet profile u = U, and a cubic polynomial exit profile (3η - η' where n= 2 Compute the volume flow Q across the top surface of the control volume. Ug у 3б Q? Uo y=0 CV Cubic Solid plate, width b into paper