{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

HW_11_Soln - ME 309 Fall 2008 Section 2(Merkle Homework 11...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
ME 309 Fall 2008 Section 2 (Merkle) Homework # 11 Due Mon 22 September 2008 Problem 11-1 Find the mass and momentum flow across the right and left faces of a deforming hexahedral control volume and express conservation of mass and conservation of momentum for the control volume as viewed from the specified observation frames for the following cases: a) The left side of the control volume is fixed in space, but its right side moves to the right at a velocity of 10 m/s with respect to the ground. The air is motionless relative to the ground. The observer sits at a fixed position on the ground. b) The left side of the control volume is fixed in space, but its right side moves to the right at a velocity of 10 m/s with respect to the ground. The air is motionless relative to the ground. The observer sits in the frame of reference that moves with the right side of the control volume. c) The left side of the control volume moves to the right at a velocity of 10 m/s with respect to the ground while its right side toward the right at a velocity of 20 m/s with respect to the ground. The air is motionless relative to the ground. The observer sits in the frame reference that is fixed with respect to the ground. d) The left side of the control volume moves to the right at a velocity of 10 m/s with respect to the ground while its right side toward the right at a velocity of 20 m/s with respect to the ground. The air is moving to the right at 15 m/s . The observer sits in the frame reference that is fixed with respect to the right side of the control volume. The areas of the right and left faces are both 0.01 m 2 . The density is 1 kg/s. Be careful to specify the velocity and relative velocity on each face in each case. As there is no velocity in the other two directions, consider only variations in the x direction and only the x- momentum component. Solution: Assumptions: Incompressible, uniform flow Separate sketch for each part Analysis: Equations: Conservation of mass: (depends on relative velocity): ( ) = - CV CS rel dVol dt d dA ρ ρ n V Conservation of momentum: ( ) = + - CV CS rel dVol dt d F dA ρ ρ V n V V ( V is velocity in observer’s frame of reference)
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
No force present in any part.
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern