{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lecture 17.pptx

Lecture 17.pptx - Lecture 17 CBE 218 Fluid Mechanics...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Lecture 17 CBE 218 Fluid Mechanics Feb 25, 2015
Background image of page 1

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

View Full Document Right Arrow Icon
MOMENTUM, VECTORS AND SCALAR COMPONENTS F = m a boldface indicates vector F = F x i + F y j + F z k F x , F y , and F z scalar components of vector F Momentum of a body = (Mass of a body). (velocity of a body) = mV Momentum is vector. I, j and k are called unit vectors in direction of x, y and z. V = V x i + V y j + V z k Chapters 7 and 15
Background image of page 2
MOMENTUM BALANCE Flow in Flow out x y z Momentum in – momentum out = V in dm in V out dm out Creation or destruction of momentum, can be written using F = m a = m d V /dt If mass is constant, F .dt = d(m V ) sys
Background image of page 3

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

View Full Document Right Arrow Icon
MOMENTUM BALANCE EQUATION d(m V ) sys = V in dm in V out dm out + ∑ F .dt F = + creation F = - destruction Flow in Flow out x y z Pressure force Gravity force d(m V ) sys /dt = V in dm in /dt – V out dm out /dt + ∑ F d(m V ) sys /dt = V in in V out out + ∑ F
Background image of page 4
MOMENTUM BALANCE EQUATION – X, Y AND Z COMPONENTS d(m V ) sys = V in dm in V out dm out + ∑ F .dt d(mVx) sys /dt = Vx in in – Vx out out + ∑ Fx X- component d(mVx) sys = Vx in dm in
Background image of page 5

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

View Full Document Right Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}