Relative Equilibrium of Liquids Flashcards
If there is no spillage, the rotation of the liquid is at-
The intersection of the centerline and the liquid surface
Other term for Reverse Effect Force
Accelerating force
REF (Reverse effect force) formula
REF= ma
Where m = density x volume
Can also be= REF= F rear - F front
Volume spillage formula
Vspill= V original - V left
Orientation of water: Case 2 theta at floor
alpha < theta
Orientation of water: Case 1 (theta at wall)
alpha > theta
Horizontal acceleration: tool formula
tan theta = a / g
Imaginary liquid line or the representation of the pressure head
Hydraulic grade line
Vertical Motion Formula Tool
P = unit weight x h (1+/- a/g)
Vertical motion sign convension
Positive - upward motion
Negative - downward motion
What is the scenario if height of water is greater than or equal to H/2 (H= height of vessel)
More than half-full
Max height: y = 2d
What is the scenario if height of water is less than to H/2 (H= height of vessel)
Less than half-full
Max height: y = H^2 / 2h
RPM (Revolution per minutes) conversion to rad per second
= pi/30
Slope of the water surface (rotational motion)
tan theta = (omega^2r)/ g
tan theta = slope
Height of Paraboloid
SPOP - Squared Property of Parabola
Volume of Parabola
Volume Spill
In an open cylindrical vessel, if the vessel is without spill and h > H/2, what is the scenario?
More than half-full scenario
y=2d
In an open cylindrical vessel, if the vessel is without spill and h < H/2, what is the scenario?
Less than half-full scenario
y = H^2/2h
Closed cylindrical tank without air space formula
In closed cylindrical tank, if y < H^2 /2d what is the case?
Case 1 : Formula
What is the y1 formula of closed cylindrical tank case 3?
In closed cylindrical tank, if y = H^2 /2d what is the case?
Case 2: Formula
In closed cylindrical tank, if y > H^2 /2d what is the case?
Case 3: Formula
Volume Spill in rotational motion
Vspill = V air_final - V air_initial